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Research ArticleProgress Planning Method of Strength Quality Training ofVolleyball Players Based on Data Mining

ZhaoChun Chen1 Lei Wang2 and Xiaofeng Wang 3

1Department of Basic Anhui Technical College of Industrial Economics Hefei 230051 Anhui China2Department of Physical Education Tangshan Normal University Tangshan 063000 Hebei China3Sports Department of Hebei Vocational College of Rail Transportation Shijiazhuang 050000 Hebei China

Correspondence should be addressed to Xiaofeng Wang 2019240319mailchzueducn

Received 1 March 2022 Revised 29 March 2022 Accepted 2 April 2022 Published 6 May 2022

Academic Editor Naeem Jan

Copyright copy 2022 ZhaoChun Chen et al is is an open access article distributed under the Creative Commons AttributionLicense which permits unrestricted use distribution and reproduction in any medium provided the original work isproperly cited

In order to better realize the training eect of volleyball playersrsquo strength quality and accelerate the training progress of volleyballplayersrsquo strength quality this paper puts forward the planning method of volleyball playersrsquo strength quality training progressbased on data mining constructs the training management system of volleyball playersrsquo strength quality by using data miningalgorithm and excavates the evaluation indexes of volleyball playersrsquo strength quality training quality Finally through ex-periments it is conrmed that the volleyball player strength quality training schedule planning method based on data mining hashigh practicability in the process of practical application and fully meets the research requirements

1 Introduction

With the attention of more countries to volleyball volleyballhas broken the original monopoly situation of ldquoone branchoutshining othersrdquo showing a erce situation of ldquomultiplepowers competing for hegemonyrdquo In view of this physicaltness has become the key factor for a team to win [1] At thesame time the development history of world volleyball alsotells us that in order to achieve excellent results a volleyballteam must achieve a highly coordinated development ofphysical tness intelligence tactics technology and psy-chology Among the ve elements of competitive abilityphysical tness is the foundation and good physical tnesswill be the foundation of competitive ability to providepremise and possibility for giving full play to tactics Athleteswill be held to greater standards as a result of this Strength isnaturally recognized as the top priority in Volleyball physicaltness training [2] since it is an essential criterion forevaluating playersrsquo physical training level Most scientistsnow think that strength relates to a human musclersquos capacityto overcome or resist resistance caused by muscular tensionduring muscle action Relevant academics have categorized

strength frommany perspectives In order to make the job ofcoaches easier they have been separated into three cate-gories based on the kinds of strength quality maximalstrength quick strength and strong endurance e maxi-mal strength is the basis determining to a large part theability of rapid strength and having a positive inuence onstrength endurance [3] In training these three factors aectencourage and constrain each other Excessive developmentof one force will stie and inuence the growth of anotherDierent approaches and weights are required for the de-velopment of maximal strength quick strength and strongendurance erefore a method of strength quality trainingschedule planning for volleyball players based on datamining is proposed

2 Schedule Planning of Strength QualityTraining of Volleyball Players Based onData Mining

21 Construction of Mining System for Strength QualityCharacteristics of Volleyball Players Data mining is a pro-cess of extracting hidden unknown but potentially useful

HindawiMathematical Problems in EngineeringVolume 2022 Article ID 7130419 11 pageshttpsdoiorg10115520227130419

information and knowledge from a large number of in-complete noisy fuzzy and random practical applicationdata It helps people discover useful new laws and newconcepts and improves researchersrsquo in-depth understandingand application of a large amount of original data [4] +ereare several data mining analysis techniques with the deci-sion tree algorithm being one of the most essential +isapproach may be used to categorize a vast amount of dataand identify or extract useful and important informationfrom it in order to get analytical findings Data mining is notjust a matter of applying formulae to the output of a basicdata model +e method of data mining is often used toexamine data for various research challenges Data inter-pretation data preparation model creation assessment andanalysis are all part of the process [5] In this study visualprocessing and decision-making analysis of relevant testparameters are carried out based on human grip strengthand muscle strength test data

One of the main functions of a data acquisition system isto convert analog signal N into digital signal Z +is processis quantization Quantization is the process of comparinganalog quantities of the same dimension with basic quan-tities Its input is a continuous analog signal and its output isa series of discrete digital signals [6] +e basic quantity usedin the quantization process is called quantization levelwhich is the ratio of full-scale voltage VFSR to the n-th powerof 2 where a is the binary digit of digital signal x and theresolution of ADC +e quantization level is generallyexpressed by Q as follows

Q VFSR

2aN

minus ZN (1)

It can be seen from the above formula that Q is deter-mined by VFSR It is the smallest unit that can be quantifiedand the resolution of the digital signal output after datamining Data mining visualization is a set of techniques fordisplaying multidimensional data [7] Data visualization isthe process of visually mapping data with different attri-butes transforming the data table into a visual structure andthen creating a visual structure diagram by coordinatepositioning scaling and other methods as well as throughhuman-computer interaction [8] Control how these pa-rameters are transformed and displayed +e rich test dataresults are displayed by the image method which provideshelp for scientific research and decision-makers [9] +especial sports quality of volleyball is mainly composed ofbounce ability movement ability and swing ability asshown in Figure 2 which are composed of strength speedendurance sensitivity and flexibility

+is paper analyzes themuscle strength characteristics ofvolleyball Combined with the volleyball movement andforce nature volleyball players need to develop lower limbexplosive force upper limb explosive force and waist andabdomen strength +e corresponding training methods aredesigned shown in Tables 1 and 2 and Figure 3

Data mining visualization is a set of techniques fordisplaying multidimensional data [7] Data visualization isthe process of visually mapping data with different

attributes transforming the data table into a visual structureand then creating a visual structure diagram by coordinatepositioning scaling and other methods as well as throughhuman-computer interaction [8] Control how these pa-rameters are transformed and displayed

Sports training is a very extensive process which refersto the social behavior of athletes to improve or maintain thespecial competitive level under the guidance of coaches It iscentered on the training practice that coaches guide athletesand is closely linked with the external factors that have animportant impact on sports training practice [10] +esefactors include the training implementation processtraining material conditions training scientific researchguarantee training theoretical support and training deci-sion-making We may concentrate on the substance andmethods of training including the content structure andarrangement of training activities to comprehend sportstraining in a restricted sense [11] As a result in the case ofvolleyball the main factors that have a significant impact onathletesrsquo physical fitness level and sports performance whichare interrelated and mutually restricted can be organizedinto a whole and the training content system for this sports

Research questions

Data understanding

Data preprocessing

Establish teaching model

Evaluation and inspection

Implementation Data visualization anddata analysis

Figure 1 Mining process of strength quality characteristics ofvolleyball players

Special physicalfitness Locomotivity Endurance General physical

fitness

Speed

Sensitive

Power

Pliable

Swing ability

BounceAbility

Figure 2 Relationship between general physical fitness and specialphysical fitness of volleyball players

2 Mathematical Problems in Engineering

project can be established based on the projectrsquos charac-teristics In contemporary volleyball effectively creating thecontent system of athletesrsquo physical training is a critical

component of ensuring that theymeet their physical traininggoals Physical training for volleyball players is a complicatedsystem including many variables In the course of training

Table 1 Methods of upper limb strength training of volleyball players

Denomination of dive Effect Using instruments Weight () Number ofgroupstimes frequency

Bench press inclined boardpress

Pectoralis major anterior deltoidbiceps brachii Bench press barbell 79sim90 5sim8times 2sim5

Sell without turning a profit Deltoid pectoralis major tricepsbrachii Light barbell dumbbell 65 5sim5times 8

Neck back push sitting push Deltoid triceps Barbell dumbbell 55sim65 5times 7Upper arm surround Biceps triceps deltoid Barbell barbell piece 55sim65 4sim9times12

Forearm surround Biceps brachii pronator teres Horizontal bar barbellpiece 55sim65 4sim9times12

Triceps extension Triceps brachii extensor carpimuscles

Horizontal bar barbellpiece 55sim65 4sim9times12

Lying triceps extension Triceps brachii Horizontal bar barbellpiece 55sim65 4sim9times12

Push the wall with yourfingers Triceps brachii Wall or floor Deadweight 4sim9times12

Load suspension Triceps brachii Ground Lighter 4times 7sim11

Table 2 Training methods of trunk strength of volleyball players

Denomination of dive Effect Using instruments Weight()

Number ofgroupstimes frequency

One hand side pull Internal and external oblique muscleof abdomen Big dumbbell 55sim65 3sim3times 7sim12

Weight-bearing swivel Internal and external oblique musclesgluteus maximus Barbell 65sim75 3sim4times 6sim9

Weight lifter Biceps femoris gluteus maximus Barbell 75sim85 5sim6times 6sim11Bow body Biceps femoris gluteus maximus Barbell 75sim85 6sim8times 2sim4Width pull-up Stretch trunk knee and foot flexors Barbell 75sim85 6simtimes 2sim4Straight leg hard pull Biceps femoris gluteus maximus Barbell 75sim85 6sim8times 2sim4

Abdominal curl Rectus femoris iliopsoas rectusabdominis Sand coat bell piece 55sim65 3simtimes 9sim12

Inclined plate abdomen andleg lifting

Rectus femoris iliopsoas rectusabdominis

Sand shinguard orconfrontation 55sim65 3simtimes 4sim12

Training cyclesystem

Training contentsystem

Training methodsystem

Theoretical frameworkof physical fitness trainingfor elite volleyball playerst

Training targetsystem

Multi year trainingcycle Annual training cycle Stage training cycle Basic training cycle

Figure 3 +eoretical system framework of physical training for excellent volleyball players

Mathematical Problems in Engineering 3

athletes are influenced by a variety of elements both withinand outside the system [12] +e human body is a largeopen and complicated system that interacts with both thenatural and social environments +erefore when imple-menting physical training for athletes we must pay attentionto the integrity relevance and comprehensive methods ofphysical systems and seek the optimization of trainingcontent design and implementation

22 Evaluation Index of StrengthQuality of Volleyball PlayersVolleyball is a competitive sport with rich content It hasvarious technical actions and complex tactics It has clearposition requirements for athletes competing on the fieldand athletes in different special positions have differenttechnical and tactical characteristics For example the mostimportant of free men must be the first pass and defensewhile the secondary attack is blocking and fast attack [13]+e requirements for blocking and attack in response to thesecond pass are equally high but the types and forms ofblocking and attack are obviously different from the sec-ondary attack As a result a high-level team should focus notonly on the physical attributes needed by volleyball specialsports but also on the physical activities of athletes in variousspecial positions and jobs as well as volleyball playersrsquophysical training particularly for various special positions[14] Targeted physical training for athletes with variousindividual characteristics is an important field of thecompetitive volleyball research that is not only in line withthe worldrsquos volleyball research development direction butalso an important factor in promoting the continuous im-provement of competitive volleyball level Sports quality isan essential component of competitive ability and an out-ward expression of athletesrsquo physical fitness level Due to thedifferent characteristics of each project the required sportsquality development level is also different (Table 3)

Taking Chinarsquos excellent volleyball players as the researchobject we should first clarify the main characteristics of tacticaldevelopment the concept of physical fitness of excellent vol-leyball players and the relevant theories of physical fitnesstraining take the special physical fitness training of volleyballplayers as the research basis and analyze the body shapecharacteristics technical and tactical characteristics andtechnical and tactical guiding ideology of athletes [15] +ispaper discusses the scientific theoretical principles of physicaltraining of elite volleyball players and explores the establish-ment of the content and method system of physical training ofelite volleyball players [16] Based on the analysis of the actionstructure and muscle strength characteristics of volleyball themeans and methods of strength training for volleyball playersare designed as shown in Tables 4 and 5

Muscle strength for example refers to the capacity towithstand resistance whenmuscles are stiff or flexed and it isalso the human bodyrsquos sole source of force for sports As aresult one of the physical aspects that determines sportssuccess in competitive sports is strength ability [17] Inrecent years research on human muscle strength has pri-marily focused on the development of human musclestrength test methods and instruments However data

analysis and data processing of test results have remained ingeneral analysis and statistical processing correlationcomparison and inspection [18] Volleyball training focuseson improving playersrsquo explosive strength flexibility andexceptional endurance Table 6 lists the most common ways

Physical fitness refers to the ability to support volleyballplayers to complete a sport or competition +ese abilitiesinclude body shape body function and sports quality+erefore the primary and secondary indicators of modelconstruction can be determined but there are many otherindicators of subordinates [19] If they are selected theamount of calculation will be increased which is not con-ducive to impact assessment so they need to be selected Inthis section the expert interview method is used to select thethree-level indicators and the selection results are shown inTable 7

By analyzing the above research results it can be con-sidered that many scholars have mainly discussed the specialsports quality of volleyball players from the aspects ofjumping ability special strength special speed arm swingability special endurance sensitivity and flexibility If xij isthe relative importance of the two indicators then thejudgment matrix can be described as follows

xij1113872 1113873ntimesn

x11 x12 x13 x1n

x21 x22 x23 x2n

xn1 xn2 xn3 xmn

⎡⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎣

⎤⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎦

(2)

where xmn and (xij)ntimesn are the important indexesAmong them jumping ability special speed and arm swingability are the key contents of volleyball playersrsquo specialsports quality Set si as a set of sni data samples with the labelpi and m different values Since P is the number of samplesin R the required information is

I si sni( 1113857 R xij1113872 1113873ntimesn

minus P 1113944m

i1Q + log2 pi( 1113857 (3)

where P An minus 1eminus τR minus 1 is the probability event of anysample belonging to Fn minus 1 For the gain of fitness andfatigue caused by training the difference equation ofphysical fitness state after training is formula (4) where wn

and kf represent the gain coefficient and there is a limit(eminus τ) for the increase in fitness

Pn An minus 1Fn + kewnAn minus 1e

minus τ

kn minus I si sni( 1113857minus GFn minus 1e

minus τ+ kfwn

(4)

where An and Fn represent the training load on day nand the physical state on the day respectively Pn representsthe adaptation and fatigue on day n respectively kf and kn

are the score which represents the adaptation and fatiguegain caused by training and the coefficient represents thehours of adaptation and fatigue regression respectively Gindicates the limit of adaptation [20] According to theresults it is found that each variable conforms to the normaldistribution +e corresponding information gain can be

4 Mathematical Problems in Engineering

Table 4 Strength training methods of volleyball players

Main means Secondary means Small muscle groupHalf squat deep squat and loading on the bench Snatch and calf flexion Finger push-upHeel lifting squatting and half squatting Lunge jump and sit-ups Load your knees highSupine true arm depression Stands up like goat bows and jumps Lateral flexion wrist flexion and extension

Table 5 Strength training methods of volleyball players

Training method Denomination of dive Resistance Number ofgroups Frequency Interval

time Explain

Concession exercise Squat 110sim130 3sim5 6 4 minute Slow down and add

protection

Static exercise Half squat shallowsquat 85sim100 3sim5 11 7 minute Segmentable static

Dynamic exercise Snatch 75sim100 4sim7 1sim11 4 minute Fast speedExplosive and bouncingstrength training mdash 25sim45 3sim7 11sim13 mdash Explosive

Small muscle group Finger wrist muscles grasping shot put (15 times) finger push-ups (15 times) one arm push-ups (15times) goat push-up static force (9 seconds) weight-bearing goat push-up (35 kg) times (10 times)

Table 6 Physical training methods of volleyball players

Method steps

Jump down practice+e athlete stands on the hopper with his feet parallel and shoulder-width apart and jumps off the box landingon both feet and bending his knees and hips maintain the posture for 5 seconds then relax and regress

immediately jump on the box carry out the next training and repeat 6 times

Deep jump practice +e athlete stands on the box with his feet the same width as his hips After jumping off he immediately jumpsup with his feet on the ground jumps as high as possible swings his arms and repeats 6 times

Slide movement exerciseUse 6sim10 cones to form a Z-shape with a spacing of 3 inches +e athlete starts standing up and starts runningStart with the first cone and step backward After the second one use the slide and the third cone of the cross

trail Stand up and clap your hands

Practice method of ldquoZhirdquofont

Place a row of obstacles one yard apart from each other +e athlete stands at the starting point steps forwarddiagonally to the right falls on the right side of the obstacle keeps up with the left foot falls on the left side of

the second obstacle and so on +e word ldquoZhirdquo passes through all obstacles

Table 7 Selected model indicators

Primary index Secondary index Tertiary indicators

Physical fitness changes of volleyball playersSecondary index Height dimension and weightPhysical function Biochemical indexes and cardiopulmonary functionSports quality Sports and special conditions

Table 3 Factors affecting the importance of physical fitness in different projects

Degree ofimportance

Project

Speed power project Cyclical projectItems requiring

complex coordinatedaction

Collectiveconfrontation project

One to oneconfrontation project

ASpeed speed strengthexplosive power special

endurance

Special endurance oneendurance specialstrength relative

strength

Flexibility agilitycoordination andrelative strength

Sensitivecoordination

explosive powerrelative power

Explosive forcemaximum forcerelative force

B Relative force maximumforce

Strength endurancespeed speed strength

Special enduranceexplosiveness speed

speed strength

Special enduranceexplosiveness speed

speed strength

Relative force speedspeed force

C

General enduranceflexibility agility andcoordination strength

and endurance

Maximum strengthexplosiveness

flexibility agility andcoordination

Maximum strengthgeneral endurancestrength endurance

General enduranceflexibility strength

endurance

An endurancesensitive coordinationflexibility general

endurance

Mathematical Problems in Engineering 5

obtained from the expected information and entropy and itscalculation formula is

Gain(A) Pn minus kewn + E(A) (5)

+ere are many calculation methods of index weightsuch as eigenvector method and geometric average methodbut they all have their own disadvantages +e former is toocomplex and expensive while the latter is simple but thecalculation result is inaccurate [21] +erefore in this sec-tion the above two calculation methods are abandoned andthe arithmetic average method combining the above twoadvantages is used to calculate the index weight +earithmetic average method is described by the followingmathematical formula

f(x) 1n

minus Gain(A) 1113944n

j1

1M 1113936

ni1 xij1113872 1113873

ntimesn

(6)

Using this formula we can accurately calculate theweight value of each index in Table 1 and make full prep-arations for the subsequent physical fitness evaluation +eevaluation standard set of athletesrsquo physical fitness can beexpressed by the following set

M m1 m2 m3 m4 m51113864 1113865 (7)

where m is the set of evaluation criteria m1 is excellentm2 is good m3 is general m4 unqualified and m5 is thedifference +e information gain of each attribute is cal-culated and the attribute with the highest gain is selected asthe test attribute of the given set S as well as the corre-sponding branch node +ere is a lack of deeper data miningresearch and decision analysis for a big number of originaldata findings obtained in a sports scientific study and it ishard to identify what is concealed in the test data Althoughstatistical approaches have made significant contributions tosports science research their limits have been discoveredthroughout the application data analysis process leaving usunhappy in solving and analyzing vast amounts of real testdata [22] +e emergence of data mining technology pro-vides a scientific method for people to extract useful in-formation hidden between data from a large number of dataAccording to the relationship between force and timefunction f(x) isin [0 1) because f(x) is continuous in theinterval of 0 according to the boundedness theorem of acontinuous function on the closed interval f(x) has themaximum value on [0 1) because fprime(x)ge 0 fprime(x) ismonotonically increasing on [0 1) so themaximum value off(x) should be obtained at the right endpoint x t that is

f(n) f(t) minus 1

M f(x) minus fprime(x)1113858 11138592 (8)

Each variable conforms to the normal distribution +especial physical fitness of volleyball players refers to theability of volleyball players to bear the load required tocomplete the skills and tactics of volleyball and adapt to thechanges in the internal and external environment in specialtraining and competition It includes three aspects +ebodily type functional level and sporting quality of athletes

Body shape is the most fundamental and lowest degree ofphysical performance according to the level of analysis [23]+e functional level is the middle level of physical perfor-mance and its development level can be improved to adegree through systematic training Sports quality is thehighest level of physical performance and it is primarilyinfluenced by genetic factors and less so by training factorsthan other aspects Functional level is the middle level ofphysical performance and its development level can beimproved to a degree through systematic training Sportsquality is the highest level of physical performance Manyexperts characterize it as the restricted definition of physicalfitness It is the outward representation of an athletersquosphysical ability which is heavily influenced by trainingvariables

23 Progress Planning of Strength Quality Training of Vol-leyball Players Among the three classification structures ofvolleyball playersrsquo physical fitness sports quality is thecategory with the highest degree of training +e determi-nation of training content and the selection of methods andmeans should also focus on the improvement of sportsquality [24 25] +e physical function and body shape mustalso change with the change in sports quality +e specialquality of volleyball players mainly includes special basicquality and special compound quality +e strength speedendurance and flexibility needed by volleyball attack anddefense technical action are referred to as the specificfundamental quality Among these explosive quality is oneof them and explosive quality is separated into three cat-egories ballistics resilience and obligatory explosive powerSpecial composite quality refers to a variety of abilitiesneeded for volleyball attack and defense technical actionsand tactical transformations such as special strength speedbouncing ability sensitive coordination ability swing abilityand special endurance Flexibility and response time areexceptional Volleyballrsquos unique compound quality is madeup of two or more fundamental sports characteristicsAnalyzing the existing research results the main contents ofvolleyball playersrsquo physical training are shown in Figure 4

+e basic cycle training system is the most basic unit ofthe periodic training system According to different classi-fication standards excellent volleyball playersrsquo basic cycletraining system can be divided into functional characteristiccycle structural characteristic cycle content characteristiccycle and load characteristic cycle as shown in Figure 5+erefore the determination of the basic cycle trainingstandard should serve the stage training cycle system

Training methods and means are the premises for vol-leyball players to create excellent sports results Due to thediversity of the volleyball physical training content and thecharacteristics of mutual connection and hierarchy thediversity of training methods and means is determined +econstruction of volleyball physical training method system isto establish various physical training methods to meet theneeds of volleyball based on the content of physical training+e combination of these physical training methods con-stitutes the method system of volleyball playersrsquo physical

6 Mathematical Problems in Engineering

training In choosing training methods and means we shouldnot only take the training content as the main basis but alsoclosely combine it with the technical movements of volleyballOn the basis of strength speed endurance flexibility andsensitivity as general sports qualities we will focus on thedevelopment of exercise methods of mobile ability arm swingability jumping ability coordination ability and special ex-plosive power +e organic combination of these with variousexercise methods in sports training constitutes the methodsystem of special sports quality training for excellent volleyballplayers as shown in Figure 6

Volleyball playersrsquo periodic training systems are dividedinto four categories multiyear periodic training yearlyperiodic training stage periodic training and basic periodictraining Among these the multiyear cycle training

approach is mostly governed by the timing of major contestslike the Olympic Games which usually take place every fouryears +e training method splits the particular stage cycleaccording to the distinct competitive tasks using an annualtraining cycle +e first-order periodic training system ismade up of multiple fundamental cycles each of which has adistinct set of tasks and a variable length of time +e mostfundamental unit of the periodic training system is the basicperiodic training system which is formed based on severalspecialized activities +e current development trend ofcompetitive sports makes several competitive peaks appearin a large training cycle so the scientific planning and designof the training cycle are very important for excellent athletesOf course it is unrealistic to require athletes to deal withmany competitive peaks every year so the number of

Basic cycletraining system

Functionalfeatures

structurecharacteristics

Loadcharacteristics

Recoveryweek

Improveweek Keep week

Competitionweek

Pure physicalfitness week

Sports andtechnologyintegration

week

CombinationWeek of

sports and war

Contentfeatures

Basic physicalfitness week

Special fitnessweek

Heavy loadcycle

Impulse loadcycle

Low loadweek

Figure 5 Classification of basic cycle training system of volleyball players

Volley ballplayersphysicalfitness

Sports quality

Soul quality

BouncingqualitySpecial

flexibilitySpecial

endurance

Special speed

Special force

Body shape

Physicalfunction

Energy metabolismsystem

Nerve conductionsystem

Skeletal muscle system

Figure 4 Basic composition of volleyball playersrsquo sports theoretical quality

Mathematical Problems in Engineering 7

competitive peaks should be determined according to theneeds of sports teams and athletes

3 Analysis of Experimental Results

T-test was performed on the measured data using thecommonly used sports statistics (XS) method to test thesignificance of the experimental effect+e data processing iscompleted on the Casio FX-3800P calculator Based on the

above data the experimental group is further divided intothe control group for comparative detection According tothe experimental design the experimental group and thecontrol group are taught and the teaching effect is com-pared +e control group is taught with the traditionalteaching method and the original progress Before the end ofeach operation class the experimental group took15minutes to arrange strength quality training in a targetedand step-by-step manner in combination with technical

Competitiontraining method

Power Locomotivity Serve

Speed Arm swing abilitySpiking

Endurance Bounce Ability

Block

Pliable Special explosive force

Cushion

Sensitive Coordination ability Defense

pass the ball

Circular trainingmethod

Transformationtraining method

Continuoustraining method

Intermittenttraining method

Decompositiontraining method

Complete trainingmethod

Repetitive trainingmethod

Figure 6 Construction of special physical fitness training method for volleyball players

Table 8 Content design of classroom strength quality training

Textbookcontent Develop the main group muscle Practice method Practice

timePracticeintensity

Pass the ball Flexor digitorum flexor carpimuscle

Lifting and grasping shot put or sandbag fingerstanding and lying support etc

20minutes Maximum 65sim80

Cushion Arm and leg muscles Jib flexion and extension triangular movement etc

Serve Shoulder girdle muscle trunkmuscle +row a solid ball with one or both hands etc

Spiking Wrist flexor shoulder girdle trunkand leg muscles

Run up take-off throw a softball multi-level jumpetc

Table 9 Comparison of physical fitness of athletes in each group before and after the experiment

50M (s) 800M (s) Standing long jump(CM) Shot put (CM) Sit ups (times

minute)

Preliminary test ofexperiment

Experimentalclass 925plusmn 352 25665plusmn 1252 16761plusmn 1075 45506plusmn 795 2461plusmn 1432

Control class 929plusmn 348 24912plusmn 1165 16352plusmn 1252 45626plusmn 965 2675plusmn 1425Mean difference minus06 minus371 331 minus429 minus125

P gt005 gt005 gt005 gt005 gt005

End of experiment

Experimentalclass 833plusmn 125 22832plusmn 1152 18632plusmn 962 53512plusmn 865 3575plusmn 485

Control class 923plusmn 265 23865plusmn 1311 17765plusmn 1002 50832plusmn 1078 3083plusmn 335Mean difference minus098 minus1198 895 2815 495

P lt03 lt005 lt005 lt002 lt002

8 Mathematical Problems in Engineering

movements and practice structure +e design mode ofclassroom strength quality training is shown in Table 8

Table 9 shows the comparison of physical fitness ofathletes in each group before and after the experiment

Table 10 shows the comparison of physical fitness ofathletes in each group before and after the experiment

It can be seen from the values in Table 10 that thephysical fitness indexes of the experimental group afterpractice are significantly higher than those before the ex-periment and the difference is very significant It can be seenthat the plasticity of athletesrsquo physical quality is greatVolleyball technology has high requirements for strengthquality thus purposeful and targeted strengthening strengthquality training may help athletes enhance their entirephysical quality Serving for example needs shoulder girdleand trunk muscular strength passing necessitates flexorfingers and wrist muscle strength and spiking necessitateswrist flexor muscles shoulder girdle muscles trunk musclesand various leg muscle groups Strengthening strong qualitytraining may help athletes develop other physical charac-teristics but when athletes feel successful it can boost theirlearning excitement and help them avoid the weariness thatcomes with quality exercise Learning sports technology isbuilt on a foundation of good physical health +e results inthe table show that the physical attributes of the two groupsof athletes improved after the experiment +e developmentof quality indicators in the experimental group is signifi-cantly better than that in the control group and the

difference between the two groups has reached a significantdifference and the two items of shot put and sit-ups havereached a very significant difference +e control group alsoimproved but the improvement range was not as large asthat of the experimental group According to the relation-ship between force measurement and time the musclestrength test process is limited to a specific force and timeframe and the FT curve method is used to describe orexplain the variation characteristics of muscle strength +eresults are shown in Figure 7

Table 10 Comparison of self data mean of the experimental group before and after the experiment

Group items Before experiment After test Mean difference P

50M (s) 925plusmn 365 833plusmn 115 092 gt006800M (s) 24565plusmn 1325 22739plusmn 1220 1895 lt001Standing long jump (CM) 16732plusmn 1171 18565plusmn 962 1965 lt001Shot put (CM)) 45603plusmn 785 53512plusmn 867 -8008 lt001Sit ups (timesminute) 2552plusmn 1365 3579 -1226 lt001

Forc

e

Fmax

Time X(time)

50ms

Y=f(x)

t

STK

(a)

Forc

e

Y+F(x)

t2t1

(b)

Figure 7 FT curve of muscle strength after volleyball player strength training

0

Physical strength

30

60

Traditional methodPaper method

90

30 60 90

Trai

ning

pro

gres

s

Figure 8 Comparison of training effects of two methods

Mathematical Problems in Engineering 9

According to the time spent on the data miningmethods draw the running rate of the two methods for datamining and the results are shown in Figure 8

It can be seen from Figure 8 that the speed of this methodis significantly faster than that of traditional data miningand with the increase in data collection the data miningspeed advantage of this method is more obvious Howeverthe traditional data mining methods cannot analyze big dataquickly which leads to a large amount of data backlog andcannot be processed in time which reduces the rate of datamining Based on the above experimental results it is notdifficult to find that compared with the traditional trainingmethods this method is more scientific and practical

4 Conclusion

Different tactical schools of volleyball are not invariableWith the continuous development of the project the changeof mature rules and the change in athletesrsquo physical con-ditions the tactical characteristics of teams in differentcountries are also changing +e continuous integration anddevelopment of various playing methods are the drivingforce for the current progress of volleyball As long as anyoneignores the research in this field he will lag behind thedevelopment of world volleyball and pay a heavy price Onlythrough continuous absorption and innovation can he standat the forefront of world volleyball Good strength quality ofvolleyball players is the basic condition for masteringtechnology and achieving excellent results but in strengthquality training we should not only pay attention to physicaltraining We should also pay attention to the combination ofskills and tactics and do not ignore flexibility and relaxationtraining so as to achieve the best effect of strength training

Data Availability

+e data used to support the findings of this study are in-cluded within the article

Conflicts of Interest

+e authors declare that they have no conflicts of interest

References

[1] S Liu D Liu K Muhammad and W Ding ldquoEffectivetemplate update mechanism in visual tracking with back-ground clutterrdquo Neurocomputing vol 458 pp 615ndash625 2021

[2] S Liu S Wang X Liu et al ldquoHuman memory updatestrategy a multi-layer template update mechanism for remotevisual monitoringrdquo IEEE Transactions on Multimedia vol 23pp 2188ndash2198 2021

[3] S Liu T He and J Dai ldquoA survey of crf algorithm basedknowledge extraction of elementary mathematics in chineserdquoMobile Networks amp Applications vol 6 pp 1ndash13 2021

[4] K Lian Jing S-y Fang and Y-F Zhou ldquoModel predictivecontrol of the fuel cell cathode system based on state quantityestimationrdquo Computer Simulation vol 37 no 07 pp 119ndash122 2020

[5] S Bardak T Bardak H Peker E Sozen and Y CcedilabukldquoPredicting effects of selected impregnation processes on the

observed bending strength of wood with use of data miningmodelsrdquo Bioresources vol 16 no 3 pp 4891ndash4904 2021

[6] M Y N Attari B Ejlaly H Heidarpour and A Ala ldquoAp-plication of data mining techniques for the investigation offactors affecting transportation enterprisesrdquo IEEE Transac-tions on Intelligent Transportation Systems vol 2021 pp 1ndash162021

[7] N Ioannis P Vasilis and D Sotiris ldquoBayesian models forprediction of the set-difference in volleyballrdquo IMA Journal ofManagement Mathematics vol 34 no 4 p 4 2021

[8] D Gupta J L Jensen and L D Abraham ldquoBiomechanics ofhang-time in volleyball spike jumpsrdquo Journal of Biomechanicsvol 121 no 4 Article ID 110380 2021

[9] A Umek and A Kos ldquoSensor system for augmented feedbackapplications in volleyballrdquo Procedia Computer Sciencevol 174 no 3 pp 369ndash374 2020

[10] B A Pang Z A Ji Z A Zhang et al ldquoCharacteristics ofaerobic resistance strength training with different load in-tensity based on acceleration sensorrdquo Procedia ComputerScience vol 187 no 4 pp 7ndash11 2021

[11] L Zwingmann M Hoppstock J-P Goldmann and P Wahlldquo+e effect of physical training modality on exercise perfor-mance with police-related personal protective equipmentrdquoApplied Ergonomics vol 93 Article ID 103371 2021

[12] R Chu X Chen S Tao and D Yang ldquoResearch on inversesimulation of physical training process based on wirelesssensor networkrdquo International Journal of Distributed SensorNetworks vol 16 no 4 Article ID 155014772091426 2020

[13] T A Prasanna K A Vidhya D Baskar K U Rani andS Joseph ldquoEffect OF yogic practices and physical exercisestraining ON flexibility OF urban BOYS athletessrdquo HighTechnology Letters vol 26 no 6 pp 40ndash44 2020

[14] M Wirth S Kohl S Gradl R Farlock D Roth andB M Eskofier ldquoAssessing visual exploratory activity of ath-letes in virtual reality using head motion characteristicsrdquoSensors vol 21 no 11 2021

[15] T D Saunders R K Le K M Breedlove D A Bradney andT G Bowman ldquoSex differences in mechanisms of headimpacts in collegiate soccer athletesrdquo Clinical Biomechanicsvol 74 no 3 pp 14ndash20 2020

[16] S Kodera T Kamiya T Miyazawa and A Hirata ldquoCorre-lation between estimated thermoregulatory responses andpacing in athletes duringmarathonrdquo IEEE Access vol 8 no 4pp 173079ndash173091 2020

[17] Y Wang ldquoReal-time collection method of athletesrsquo abnormaltraining data based on machine learningrdquoMobile InformationSystems vol 2021 no 3 11 pages Article ID 9938605 2021

[18] S Romagnoli A Sbrollini M Colaneri et al ldquoInitial in-vestigation of athletesrsquo electrocardiograms acquired bywearable sensors during the pre-exercise phaserdquo 8e OpenBiomedical Engineering Journal vol 15 no 1 pp 37ndash44 2021

[19] D Biagini T Lomonaco S Ghimenti et al ldquoSaliva as a non-invasive tool for monitoring oxidative stress in swimmersathletes performing a VO2max cycle ergometer testrdquo Talantavol 216 no 12 Article ID 120979 2020

[20] M Pontillo C M Butowicz D Ebaugh C A +igpenB Sennett and S P Silfies ldquoComparison of core neuro-muscular control and lower extremity postural stability inathletes with and without shoulder injuriesrdquo Clinical Bio-mechanics vol 71 no 7 pp 196ndash200 2020

[21] M Ghaderi A Letafatkar T G Almonroeder andS Keyhani ldquoNeuromuscular training improves knee pro-prioception in athletes with a history of anterior cruciate

10 Mathematical Problems in Engineering

ligament reconstruction a randomized controlled trialrdquoClinical Biomechanics vol 80 no 4 Article ID 1 2020

[22] C Reche M Viana B L van Drooge et al ldquoAthletesrsquo ex-posure to air pollution during World Athletics Relays a pilotstudyrdquo 8e Science of the Total Environment vol 717 no 4Article ID 137161 2020

[23] N Petrone G Costa G Foscan et al ldquoDevelopment ofinstrumented running prosthetic feet for the collection oftrack loads on elite athletesrdquo Sensors vol 20 no 20 2020

[24] R Moghdani K Salimifard E Demir and A BenyettouldquoMulti-objective volleyball premier league algorithmKnowledge-based systemsrdquo vol 196 no 4 Article ID 1057812020

[25] B Pang Z Ji Z Zhang et al ldquoStrength training characteristicsof different loads based on acceleration sensor and finiteelement simulationrdquo Sensors vol 21 no 2 2021

Mathematical Problems in Engineering 11

information and knowledge from a large number of in-complete noisy fuzzy and random practical applicationdata It helps people discover useful new laws and newconcepts and improves researchersrsquo in-depth understandingand application of a large amount of original data [4] +ereare several data mining analysis techniques with the deci-sion tree algorithm being one of the most essential +isapproach may be used to categorize a vast amount of dataand identify or extract useful and important informationfrom it in order to get analytical findings Data mining is notjust a matter of applying formulae to the output of a basicdata model +e method of data mining is often used toexamine data for various research challenges Data inter-pretation data preparation model creation assessment andanalysis are all part of the process [5] In this study visualprocessing and decision-making analysis of relevant testparameters are carried out based on human grip strengthand muscle strength test data

One of the main functions of a data acquisition system isto convert analog signal N into digital signal Z +is processis quantization Quantization is the process of comparinganalog quantities of the same dimension with basic quan-tities Its input is a continuous analog signal and its output isa series of discrete digital signals [6] +e basic quantity usedin the quantization process is called quantization levelwhich is the ratio of full-scale voltage VFSR to the n-th powerof 2 where a is the binary digit of digital signal x and theresolution of ADC +e quantization level is generallyexpressed by Q as follows

Q VFSR

2aN

minus ZN (1)

It can be seen from the above formula that Q is deter-mined by VFSR It is the smallest unit that can be quantifiedand the resolution of the digital signal output after datamining Data mining visualization is a set of techniques fordisplaying multidimensional data [7] Data visualization isthe process of visually mapping data with different attri-butes transforming the data table into a visual structure andthen creating a visual structure diagram by coordinatepositioning scaling and other methods as well as throughhuman-computer interaction [8] Control how these pa-rameters are transformed and displayed +e rich test dataresults are displayed by the image method which provideshelp for scientific research and decision-makers [9] +especial sports quality of volleyball is mainly composed ofbounce ability movement ability and swing ability asshown in Figure 2 which are composed of strength speedendurance sensitivity and flexibility

+is paper analyzes themuscle strength characteristics ofvolleyball Combined with the volleyball movement andforce nature volleyball players need to develop lower limbexplosive force upper limb explosive force and waist andabdomen strength +e corresponding training methods aredesigned shown in Tables 1 and 2 and Figure 3

Data mining visualization is a set of techniques fordisplaying multidimensional data [7] Data visualization isthe process of visually mapping data with different

attributes transforming the data table into a visual structureand then creating a visual structure diagram by coordinatepositioning scaling and other methods as well as throughhuman-computer interaction [8] Control how these pa-rameters are transformed and displayed

Sports training is a very extensive process which refersto the social behavior of athletes to improve or maintain thespecial competitive level under the guidance of coaches It iscentered on the training practice that coaches guide athletesand is closely linked with the external factors that have animportant impact on sports training practice [10] +esefactors include the training implementation processtraining material conditions training scientific researchguarantee training theoretical support and training deci-sion-making We may concentrate on the substance andmethods of training including the content structure andarrangement of training activities to comprehend sportstraining in a restricted sense [11] As a result in the case ofvolleyball the main factors that have a significant impact onathletesrsquo physical fitness level and sports performance whichare interrelated and mutually restricted can be organizedinto a whole and the training content system for this sports

Research questions

Data understanding

Data preprocessing

Establish teaching model

Evaluation and inspection

Implementation Data visualization anddata analysis

Figure 1 Mining process of strength quality characteristics ofvolleyball players

Special physicalfitness Locomotivity Endurance General physical

fitness

Speed

Sensitive

Power

Pliable

Swing ability

BounceAbility

Figure 2 Relationship between general physical fitness and specialphysical fitness of volleyball players

2 Mathematical Problems in Engineering

project can be established based on the projectrsquos charac-teristics In contemporary volleyball effectively creating thecontent system of athletesrsquo physical training is a critical

component of ensuring that theymeet their physical traininggoals Physical training for volleyball players is a complicatedsystem including many variables In the course of training

Table 1 Methods of upper limb strength training of volleyball players

Denomination of dive Effect Using instruments Weight () Number ofgroupstimes frequency

Bench press inclined boardpress

Pectoralis major anterior deltoidbiceps brachii Bench press barbell 79sim90 5sim8times 2sim5

Sell without turning a profit Deltoid pectoralis major tricepsbrachii Light barbell dumbbell 65 5sim5times 8

Neck back push sitting push Deltoid triceps Barbell dumbbell 55sim65 5times 7Upper arm surround Biceps triceps deltoid Barbell barbell piece 55sim65 4sim9times12

Forearm surround Biceps brachii pronator teres Horizontal bar barbellpiece 55sim65 4sim9times12

Triceps extension Triceps brachii extensor carpimuscles

Horizontal bar barbellpiece 55sim65 4sim9times12

Lying triceps extension Triceps brachii Horizontal bar barbellpiece 55sim65 4sim9times12

Push the wall with yourfingers Triceps brachii Wall or floor Deadweight 4sim9times12

Load suspension Triceps brachii Ground Lighter 4times 7sim11

Table 2 Training methods of trunk strength of volleyball players

Denomination of dive Effect Using instruments Weight()

Number ofgroupstimes frequency

One hand side pull Internal and external oblique muscleof abdomen Big dumbbell 55sim65 3sim3times 7sim12

Weight-bearing swivel Internal and external oblique musclesgluteus maximus Barbell 65sim75 3sim4times 6sim9

Weight lifter Biceps femoris gluteus maximus Barbell 75sim85 5sim6times 6sim11Bow body Biceps femoris gluteus maximus Barbell 75sim85 6sim8times 2sim4Width pull-up Stretch trunk knee and foot flexors Barbell 75sim85 6simtimes 2sim4Straight leg hard pull Biceps femoris gluteus maximus Barbell 75sim85 6sim8times 2sim4

Abdominal curl Rectus femoris iliopsoas rectusabdominis Sand coat bell piece 55sim65 3simtimes 9sim12

Inclined plate abdomen andleg lifting

Rectus femoris iliopsoas rectusabdominis

Sand shinguard orconfrontation 55sim65 3simtimes 4sim12

Training cyclesystem

Training contentsystem

Training methodsystem

Theoretical frameworkof physical fitness trainingfor elite volleyball playerst

Training targetsystem

Multi year trainingcycle Annual training cycle Stage training cycle Basic training cycle

Figure 3 +eoretical system framework of physical training for excellent volleyball players

Mathematical Problems in Engineering 3

athletes are influenced by a variety of elements both withinand outside the system [12] +e human body is a largeopen and complicated system that interacts with both thenatural and social environments +erefore when imple-menting physical training for athletes we must pay attentionto the integrity relevance and comprehensive methods ofphysical systems and seek the optimization of trainingcontent design and implementation

22 Evaluation Index of StrengthQuality of Volleyball PlayersVolleyball is a competitive sport with rich content It hasvarious technical actions and complex tactics It has clearposition requirements for athletes competing on the fieldand athletes in different special positions have differenttechnical and tactical characteristics For example the mostimportant of free men must be the first pass and defensewhile the secondary attack is blocking and fast attack [13]+e requirements for blocking and attack in response to thesecond pass are equally high but the types and forms ofblocking and attack are obviously different from the sec-ondary attack As a result a high-level team should focus notonly on the physical attributes needed by volleyball specialsports but also on the physical activities of athletes in variousspecial positions and jobs as well as volleyball playersrsquophysical training particularly for various special positions[14] Targeted physical training for athletes with variousindividual characteristics is an important field of thecompetitive volleyball research that is not only in line withthe worldrsquos volleyball research development direction butalso an important factor in promoting the continuous im-provement of competitive volleyball level Sports quality isan essential component of competitive ability and an out-ward expression of athletesrsquo physical fitness level Due to thedifferent characteristics of each project the required sportsquality development level is also different (Table 3)

Taking Chinarsquos excellent volleyball players as the researchobject we should first clarify the main characteristics of tacticaldevelopment the concept of physical fitness of excellent vol-leyball players and the relevant theories of physical fitnesstraining take the special physical fitness training of volleyballplayers as the research basis and analyze the body shapecharacteristics technical and tactical characteristics andtechnical and tactical guiding ideology of athletes [15] +ispaper discusses the scientific theoretical principles of physicaltraining of elite volleyball players and explores the establish-ment of the content and method system of physical training ofelite volleyball players [16] Based on the analysis of the actionstructure and muscle strength characteristics of volleyball themeans and methods of strength training for volleyball playersare designed as shown in Tables 4 and 5

Muscle strength for example refers to the capacity towithstand resistance whenmuscles are stiff or flexed and it isalso the human bodyrsquos sole source of force for sports As aresult one of the physical aspects that determines sportssuccess in competitive sports is strength ability [17] Inrecent years research on human muscle strength has pri-marily focused on the development of human musclestrength test methods and instruments However data

analysis and data processing of test results have remained ingeneral analysis and statistical processing correlationcomparison and inspection [18] Volleyball training focuseson improving playersrsquo explosive strength flexibility andexceptional endurance Table 6 lists the most common ways

Physical fitness refers to the ability to support volleyballplayers to complete a sport or competition +ese abilitiesinclude body shape body function and sports quality+erefore the primary and secondary indicators of modelconstruction can be determined but there are many otherindicators of subordinates [19] If they are selected theamount of calculation will be increased which is not con-ducive to impact assessment so they need to be selected Inthis section the expert interview method is used to select thethree-level indicators and the selection results are shown inTable 7

By analyzing the above research results it can be con-sidered that many scholars have mainly discussed the specialsports quality of volleyball players from the aspects ofjumping ability special strength special speed arm swingability special endurance sensitivity and flexibility If xij isthe relative importance of the two indicators then thejudgment matrix can be described as follows

xij1113872 1113873ntimesn

x11 x12 x13 x1n

x21 x22 x23 x2n

xn1 xn2 xn3 xmn

⎡⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎣

⎤⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎦

(2)

where xmn and (xij)ntimesn are the important indexesAmong them jumping ability special speed and arm swingability are the key contents of volleyball playersrsquo specialsports quality Set si as a set of sni data samples with the labelpi and m different values Since P is the number of samplesin R the required information is

I si sni( 1113857 R xij1113872 1113873ntimesn

minus P 1113944m

i1Q + log2 pi( 1113857 (3)

where P An minus 1eminus τR minus 1 is the probability event of anysample belonging to Fn minus 1 For the gain of fitness andfatigue caused by training the difference equation ofphysical fitness state after training is formula (4) where wn

and kf represent the gain coefficient and there is a limit(eminus τ) for the increase in fitness

Pn An minus 1Fn + kewnAn minus 1e

minus τ

kn minus I si sni( 1113857minus GFn minus 1e

minus τ+ kfwn

(4)

where An and Fn represent the training load on day nand the physical state on the day respectively Pn representsthe adaptation and fatigue on day n respectively kf and kn

are the score which represents the adaptation and fatiguegain caused by training and the coefficient represents thehours of adaptation and fatigue regression respectively Gindicates the limit of adaptation [20] According to theresults it is found that each variable conforms to the normaldistribution +e corresponding information gain can be

4 Mathematical Problems in Engineering

Table 4 Strength training methods of volleyball players

Main means Secondary means Small muscle groupHalf squat deep squat and loading on the bench Snatch and calf flexion Finger push-upHeel lifting squatting and half squatting Lunge jump and sit-ups Load your knees highSupine true arm depression Stands up like goat bows and jumps Lateral flexion wrist flexion and extension

Table 5 Strength training methods of volleyball players

Training method Denomination of dive Resistance Number ofgroups Frequency Interval

time Explain

Concession exercise Squat 110sim130 3sim5 6 4 minute Slow down and add

protection

Static exercise Half squat shallowsquat 85sim100 3sim5 11 7 minute Segmentable static

Dynamic exercise Snatch 75sim100 4sim7 1sim11 4 minute Fast speedExplosive and bouncingstrength training mdash 25sim45 3sim7 11sim13 mdash Explosive

Small muscle group Finger wrist muscles grasping shot put (15 times) finger push-ups (15 times) one arm push-ups (15times) goat push-up static force (9 seconds) weight-bearing goat push-up (35 kg) times (10 times)

Table 6 Physical training methods of volleyball players

Method steps

Jump down practice+e athlete stands on the hopper with his feet parallel and shoulder-width apart and jumps off the box landingon both feet and bending his knees and hips maintain the posture for 5 seconds then relax and regress

immediately jump on the box carry out the next training and repeat 6 times

Deep jump practice +e athlete stands on the box with his feet the same width as his hips After jumping off he immediately jumpsup with his feet on the ground jumps as high as possible swings his arms and repeats 6 times

Slide movement exerciseUse 6sim10 cones to form a Z-shape with a spacing of 3 inches +e athlete starts standing up and starts runningStart with the first cone and step backward After the second one use the slide and the third cone of the cross

trail Stand up and clap your hands

Practice method of ldquoZhirdquofont

Place a row of obstacles one yard apart from each other +e athlete stands at the starting point steps forwarddiagonally to the right falls on the right side of the obstacle keeps up with the left foot falls on the left side of

the second obstacle and so on +e word ldquoZhirdquo passes through all obstacles

Table 7 Selected model indicators

Primary index Secondary index Tertiary indicators

Physical fitness changes of volleyball playersSecondary index Height dimension and weightPhysical function Biochemical indexes and cardiopulmonary functionSports quality Sports and special conditions

Table 3 Factors affecting the importance of physical fitness in different projects

Degree ofimportance

Project

Speed power project Cyclical projectItems requiring

complex coordinatedaction

Collectiveconfrontation project

One to oneconfrontation project

ASpeed speed strengthexplosive power special

endurance

Special endurance oneendurance specialstrength relative

strength

Flexibility agilitycoordination andrelative strength

Sensitivecoordination

explosive powerrelative power

Explosive forcemaximum forcerelative force

B Relative force maximumforce

Strength endurancespeed speed strength

Special enduranceexplosiveness speed

speed strength

Special enduranceexplosiveness speed

speed strength

Relative force speedspeed force

C

General enduranceflexibility agility andcoordination strength

and endurance

Maximum strengthexplosiveness

flexibility agility andcoordination

Maximum strengthgeneral endurancestrength endurance

General enduranceflexibility strength

endurance

An endurancesensitive coordinationflexibility general

endurance

Mathematical Problems in Engineering 5

obtained from the expected information and entropy and itscalculation formula is

Gain(A) Pn minus kewn + E(A) (5)

+ere are many calculation methods of index weightsuch as eigenvector method and geometric average methodbut they all have their own disadvantages +e former is toocomplex and expensive while the latter is simple but thecalculation result is inaccurate [21] +erefore in this sec-tion the above two calculation methods are abandoned andthe arithmetic average method combining the above twoadvantages is used to calculate the index weight +earithmetic average method is described by the followingmathematical formula

f(x) 1n

minus Gain(A) 1113944n

j1

1M 1113936

ni1 xij1113872 1113873

ntimesn

(6)

Using this formula we can accurately calculate theweight value of each index in Table 1 and make full prep-arations for the subsequent physical fitness evaluation +eevaluation standard set of athletesrsquo physical fitness can beexpressed by the following set

M m1 m2 m3 m4 m51113864 1113865 (7)

where m is the set of evaluation criteria m1 is excellentm2 is good m3 is general m4 unqualified and m5 is thedifference +e information gain of each attribute is cal-culated and the attribute with the highest gain is selected asthe test attribute of the given set S as well as the corre-sponding branch node +ere is a lack of deeper data miningresearch and decision analysis for a big number of originaldata findings obtained in a sports scientific study and it ishard to identify what is concealed in the test data Althoughstatistical approaches have made significant contributions tosports science research their limits have been discoveredthroughout the application data analysis process leaving usunhappy in solving and analyzing vast amounts of real testdata [22] +e emergence of data mining technology pro-vides a scientific method for people to extract useful in-formation hidden between data from a large number of dataAccording to the relationship between force and timefunction f(x) isin [0 1) because f(x) is continuous in theinterval of 0 according to the boundedness theorem of acontinuous function on the closed interval f(x) has themaximum value on [0 1) because fprime(x)ge 0 fprime(x) ismonotonically increasing on [0 1) so themaximum value off(x) should be obtained at the right endpoint x t that is

f(n) f(t) minus 1

M f(x) minus fprime(x)1113858 11138592 (8)

Each variable conforms to the normal distribution +especial physical fitness of volleyball players refers to theability of volleyball players to bear the load required tocomplete the skills and tactics of volleyball and adapt to thechanges in the internal and external environment in specialtraining and competition It includes three aspects +ebodily type functional level and sporting quality of athletes

Body shape is the most fundamental and lowest degree ofphysical performance according to the level of analysis [23]+e functional level is the middle level of physical perfor-mance and its development level can be improved to adegree through systematic training Sports quality is thehighest level of physical performance and it is primarilyinfluenced by genetic factors and less so by training factorsthan other aspects Functional level is the middle level ofphysical performance and its development level can beimproved to a degree through systematic training Sportsquality is the highest level of physical performance Manyexperts characterize it as the restricted definition of physicalfitness It is the outward representation of an athletersquosphysical ability which is heavily influenced by trainingvariables

23 Progress Planning of Strength Quality Training of Vol-leyball Players Among the three classification structures ofvolleyball playersrsquo physical fitness sports quality is thecategory with the highest degree of training +e determi-nation of training content and the selection of methods andmeans should also focus on the improvement of sportsquality [24 25] +e physical function and body shape mustalso change with the change in sports quality +e specialquality of volleyball players mainly includes special basicquality and special compound quality +e strength speedendurance and flexibility needed by volleyball attack anddefense technical action are referred to as the specificfundamental quality Among these explosive quality is oneof them and explosive quality is separated into three cat-egories ballistics resilience and obligatory explosive powerSpecial composite quality refers to a variety of abilitiesneeded for volleyball attack and defense technical actionsand tactical transformations such as special strength speedbouncing ability sensitive coordination ability swing abilityand special endurance Flexibility and response time areexceptional Volleyballrsquos unique compound quality is madeup of two or more fundamental sports characteristicsAnalyzing the existing research results the main contents ofvolleyball playersrsquo physical training are shown in Figure 4

+e basic cycle training system is the most basic unit ofthe periodic training system According to different classi-fication standards excellent volleyball playersrsquo basic cycletraining system can be divided into functional characteristiccycle structural characteristic cycle content characteristiccycle and load characteristic cycle as shown in Figure 5+erefore the determination of the basic cycle trainingstandard should serve the stage training cycle system

Training methods and means are the premises for vol-leyball players to create excellent sports results Due to thediversity of the volleyball physical training content and thecharacteristics of mutual connection and hierarchy thediversity of training methods and means is determined +econstruction of volleyball physical training method system isto establish various physical training methods to meet theneeds of volleyball based on the content of physical training+e combination of these physical training methods con-stitutes the method system of volleyball playersrsquo physical

6 Mathematical Problems in Engineering

training In choosing training methods and means we shouldnot only take the training content as the main basis but alsoclosely combine it with the technical movements of volleyballOn the basis of strength speed endurance flexibility andsensitivity as general sports qualities we will focus on thedevelopment of exercise methods of mobile ability arm swingability jumping ability coordination ability and special ex-plosive power +e organic combination of these with variousexercise methods in sports training constitutes the methodsystem of special sports quality training for excellent volleyballplayers as shown in Figure 6

Volleyball playersrsquo periodic training systems are dividedinto four categories multiyear periodic training yearlyperiodic training stage periodic training and basic periodictraining Among these the multiyear cycle training

approach is mostly governed by the timing of major contestslike the Olympic Games which usually take place every fouryears +e training method splits the particular stage cycleaccording to the distinct competitive tasks using an annualtraining cycle +e first-order periodic training system ismade up of multiple fundamental cycles each of which has adistinct set of tasks and a variable length of time +e mostfundamental unit of the periodic training system is the basicperiodic training system which is formed based on severalspecialized activities +e current development trend ofcompetitive sports makes several competitive peaks appearin a large training cycle so the scientific planning and designof the training cycle are very important for excellent athletesOf course it is unrealistic to require athletes to deal withmany competitive peaks every year so the number of

Basic cycletraining system

Functionalfeatures

structurecharacteristics

Loadcharacteristics

Recoveryweek

Improveweek Keep week

Competitionweek

Pure physicalfitness week

Sports andtechnologyintegration

week

CombinationWeek of

sports and war

Contentfeatures

Basic physicalfitness week

Special fitnessweek

Heavy loadcycle

Impulse loadcycle

Low loadweek

Figure 5 Classification of basic cycle training system of volleyball players

Volley ballplayersphysicalfitness

Sports quality

Soul quality

BouncingqualitySpecial

flexibilitySpecial

endurance

Special speed

Special force

Body shape

Physicalfunction

Energy metabolismsystem

Nerve conductionsystem

Skeletal muscle system

Figure 4 Basic composition of volleyball playersrsquo sports theoretical quality

Mathematical Problems in Engineering 7

competitive peaks should be determined according to theneeds of sports teams and athletes

3 Analysis of Experimental Results

T-test was performed on the measured data using thecommonly used sports statistics (XS) method to test thesignificance of the experimental effect+e data processing iscompleted on the Casio FX-3800P calculator Based on the

above data the experimental group is further divided intothe control group for comparative detection According tothe experimental design the experimental group and thecontrol group are taught and the teaching effect is com-pared +e control group is taught with the traditionalteaching method and the original progress Before the end ofeach operation class the experimental group took15minutes to arrange strength quality training in a targetedand step-by-step manner in combination with technical

Competitiontraining method

Power Locomotivity Serve

Speed Arm swing abilitySpiking

Endurance Bounce Ability

Block

Pliable Special explosive force

Cushion

Sensitive Coordination ability Defense

pass the ball

Circular trainingmethod

Transformationtraining method

Continuoustraining method

Intermittenttraining method

Decompositiontraining method

Complete trainingmethod

Repetitive trainingmethod

Figure 6 Construction of special physical fitness training method for volleyball players

Table 8 Content design of classroom strength quality training

Textbookcontent Develop the main group muscle Practice method Practice

timePracticeintensity

Pass the ball Flexor digitorum flexor carpimuscle

Lifting and grasping shot put or sandbag fingerstanding and lying support etc

20minutes Maximum 65sim80

Cushion Arm and leg muscles Jib flexion and extension triangular movement etc

Serve Shoulder girdle muscle trunkmuscle +row a solid ball with one or both hands etc

Spiking Wrist flexor shoulder girdle trunkand leg muscles

Run up take-off throw a softball multi-level jumpetc

Table 9 Comparison of physical fitness of athletes in each group before and after the experiment

50M (s) 800M (s) Standing long jump(CM) Shot put (CM) Sit ups (times

minute)

Preliminary test ofexperiment

Experimentalclass 925plusmn 352 25665plusmn 1252 16761plusmn 1075 45506plusmn 795 2461plusmn 1432

Control class 929plusmn 348 24912plusmn 1165 16352plusmn 1252 45626plusmn 965 2675plusmn 1425Mean difference minus06 minus371 331 minus429 minus125

P gt005 gt005 gt005 gt005 gt005

End of experiment

Experimentalclass 833plusmn 125 22832plusmn 1152 18632plusmn 962 53512plusmn 865 3575plusmn 485

Control class 923plusmn 265 23865plusmn 1311 17765plusmn 1002 50832plusmn 1078 3083plusmn 335Mean difference minus098 minus1198 895 2815 495

P lt03 lt005 lt005 lt002 lt002

8 Mathematical Problems in Engineering

movements and practice structure +e design mode ofclassroom strength quality training is shown in Table 8

Table 9 shows the comparison of physical fitness ofathletes in each group before and after the experiment

Table 10 shows the comparison of physical fitness ofathletes in each group before and after the experiment

It can be seen from the values in Table 10 that thephysical fitness indexes of the experimental group afterpractice are significantly higher than those before the ex-periment and the difference is very significant It can be seenthat the plasticity of athletesrsquo physical quality is greatVolleyball technology has high requirements for strengthquality thus purposeful and targeted strengthening strengthquality training may help athletes enhance their entirephysical quality Serving for example needs shoulder girdleand trunk muscular strength passing necessitates flexorfingers and wrist muscle strength and spiking necessitateswrist flexor muscles shoulder girdle muscles trunk musclesand various leg muscle groups Strengthening strong qualitytraining may help athletes develop other physical charac-teristics but when athletes feel successful it can boost theirlearning excitement and help them avoid the weariness thatcomes with quality exercise Learning sports technology isbuilt on a foundation of good physical health +e results inthe table show that the physical attributes of the two groupsof athletes improved after the experiment +e developmentof quality indicators in the experimental group is signifi-cantly better than that in the control group and the

difference between the two groups has reached a significantdifference and the two items of shot put and sit-ups havereached a very significant difference +e control group alsoimproved but the improvement range was not as large asthat of the experimental group According to the relation-ship between force measurement and time the musclestrength test process is limited to a specific force and timeframe and the FT curve method is used to describe orexplain the variation characteristics of muscle strength +eresults are shown in Figure 7

Table 10 Comparison of self data mean of the experimental group before and after the experiment

Group items Before experiment After test Mean difference P

50M (s) 925plusmn 365 833plusmn 115 092 gt006800M (s) 24565plusmn 1325 22739plusmn 1220 1895 lt001Standing long jump (CM) 16732plusmn 1171 18565plusmn 962 1965 lt001Shot put (CM)) 45603plusmn 785 53512plusmn 867 -8008 lt001Sit ups (timesminute) 2552plusmn 1365 3579 -1226 lt001

Forc

e

Fmax

Time X(time)

50ms

Y=f(x)

t

STK

(a)

Forc

e

Y+F(x)

t2t1

(b)

Figure 7 FT curve of muscle strength after volleyball player strength training

0

Physical strength

30

60

Traditional methodPaper method

90

30 60 90

Trai

ning

pro

gres

s

Figure 8 Comparison of training effects of two methods

Mathematical Problems in Engineering 9

According to the time spent on the data miningmethods draw the running rate of the two methods for datamining and the results are shown in Figure 8

It can be seen from Figure 8 that the speed of this methodis significantly faster than that of traditional data miningand with the increase in data collection the data miningspeed advantage of this method is more obvious Howeverthe traditional data mining methods cannot analyze big dataquickly which leads to a large amount of data backlog andcannot be processed in time which reduces the rate of datamining Based on the above experimental results it is notdifficult to find that compared with the traditional trainingmethods this method is more scientific and practical

4 Conclusion

Different tactical schools of volleyball are not invariableWith the continuous development of the project the changeof mature rules and the change in athletesrsquo physical con-ditions the tactical characteristics of teams in differentcountries are also changing +e continuous integration anddevelopment of various playing methods are the drivingforce for the current progress of volleyball As long as anyoneignores the research in this field he will lag behind thedevelopment of world volleyball and pay a heavy price Onlythrough continuous absorption and innovation can he standat the forefront of world volleyball Good strength quality ofvolleyball players is the basic condition for masteringtechnology and achieving excellent results but in strengthquality training we should not only pay attention to physicaltraining We should also pay attention to the combination ofskills and tactics and do not ignore flexibility and relaxationtraining so as to achieve the best effect of strength training

Data Availability

+e data used to support the findings of this study are in-cluded within the article

Conflicts of Interest

+e authors declare that they have no conflicts of interest

References

[1] S Liu D Liu K Muhammad and W Ding ldquoEffectivetemplate update mechanism in visual tracking with back-ground clutterrdquo Neurocomputing vol 458 pp 615ndash625 2021

[2] S Liu S Wang X Liu et al ldquoHuman memory updatestrategy a multi-layer template update mechanism for remotevisual monitoringrdquo IEEE Transactions on Multimedia vol 23pp 2188ndash2198 2021

[3] S Liu T He and J Dai ldquoA survey of crf algorithm basedknowledge extraction of elementary mathematics in chineserdquoMobile Networks amp Applications vol 6 pp 1ndash13 2021

[4] K Lian Jing S-y Fang and Y-F Zhou ldquoModel predictivecontrol of the fuel cell cathode system based on state quantityestimationrdquo Computer Simulation vol 37 no 07 pp 119ndash122 2020

[5] S Bardak T Bardak H Peker E Sozen and Y CcedilabukldquoPredicting effects of selected impregnation processes on the

observed bending strength of wood with use of data miningmodelsrdquo Bioresources vol 16 no 3 pp 4891ndash4904 2021

[6] M Y N Attari B Ejlaly H Heidarpour and A Ala ldquoAp-plication of data mining techniques for the investigation offactors affecting transportation enterprisesrdquo IEEE Transac-tions on Intelligent Transportation Systems vol 2021 pp 1ndash162021

[7] N Ioannis P Vasilis and D Sotiris ldquoBayesian models forprediction of the set-difference in volleyballrdquo IMA Journal ofManagement Mathematics vol 34 no 4 p 4 2021

[8] D Gupta J L Jensen and L D Abraham ldquoBiomechanics ofhang-time in volleyball spike jumpsrdquo Journal of Biomechanicsvol 121 no 4 Article ID 110380 2021

[9] A Umek and A Kos ldquoSensor system for augmented feedbackapplications in volleyballrdquo Procedia Computer Sciencevol 174 no 3 pp 369ndash374 2020

[10] B A Pang Z A Ji Z A Zhang et al ldquoCharacteristics ofaerobic resistance strength training with different load in-tensity based on acceleration sensorrdquo Procedia ComputerScience vol 187 no 4 pp 7ndash11 2021

[11] L Zwingmann M Hoppstock J-P Goldmann and P Wahlldquo+e effect of physical training modality on exercise perfor-mance with police-related personal protective equipmentrdquoApplied Ergonomics vol 93 Article ID 103371 2021

[12] R Chu X Chen S Tao and D Yang ldquoResearch on inversesimulation of physical training process based on wirelesssensor networkrdquo International Journal of Distributed SensorNetworks vol 16 no 4 Article ID 155014772091426 2020

[13] T A Prasanna K A Vidhya D Baskar K U Rani andS Joseph ldquoEffect OF yogic practices and physical exercisestraining ON flexibility OF urban BOYS athletessrdquo HighTechnology Letters vol 26 no 6 pp 40ndash44 2020

[14] M Wirth S Kohl S Gradl R Farlock D Roth andB M Eskofier ldquoAssessing visual exploratory activity of ath-letes in virtual reality using head motion characteristicsrdquoSensors vol 21 no 11 2021

[15] T D Saunders R K Le K M Breedlove D A Bradney andT G Bowman ldquoSex differences in mechanisms of headimpacts in collegiate soccer athletesrdquo Clinical Biomechanicsvol 74 no 3 pp 14ndash20 2020

[16] S Kodera T Kamiya T Miyazawa and A Hirata ldquoCorre-lation between estimated thermoregulatory responses andpacing in athletes duringmarathonrdquo IEEE Access vol 8 no 4pp 173079ndash173091 2020

[17] Y Wang ldquoReal-time collection method of athletesrsquo abnormaltraining data based on machine learningrdquoMobile InformationSystems vol 2021 no 3 11 pages Article ID 9938605 2021

[18] S Romagnoli A Sbrollini M Colaneri et al ldquoInitial in-vestigation of athletesrsquo electrocardiograms acquired bywearable sensors during the pre-exercise phaserdquo 8e OpenBiomedical Engineering Journal vol 15 no 1 pp 37ndash44 2021

[19] D Biagini T Lomonaco S Ghimenti et al ldquoSaliva as a non-invasive tool for monitoring oxidative stress in swimmersathletes performing a VO2max cycle ergometer testrdquo Talantavol 216 no 12 Article ID 120979 2020

[20] M Pontillo C M Butowicz D Ebaugh C A +igpenB Sennett and S P Silfies ldquoComparison of core neuro-muscular control and lower extremity postural stability inathletes with and without shoulder injuriesrdquo Clinical Bio-mechanics vol 71 no 7 pp 196ndash200 2020

[21] M Ghaderi A Letafatkar T G Almonroeder andS Keyhani ldquoNeuromuscular training improves knee pro-prioception in athletes with a history of anterior cruciate

10 Mathematical Problems in Engineering

ligament reconstruction a randomized controlled trialrdquoClinical Biomechanics vol 80 no 4 Article ID 1 2020

[22] C Reche M Viana B L van Drooge et al ldquoAthletesrsquo ex-posure to air pollution during World Athletics Relays a pilotstudyrdquo 8e Science of the Total Environment vol 717 no 4Article ID 137161 2020

[23] N Petrone G Costa G Foscan et al ldquoDevelopment ofinstrumented running prosthetic feet for the collection oftrack loads on elite athletesrdquo Sensors vol 20 no 20 2020

[24] R Moghdani K Salimifard E Demir and A BenyettouldquoMulti-objective volleyball premier league algorithmKnowledge-based systemsrdquo vol 196 no 4 Article ID 1057812020

[25] B Pang Z Ji Z Zhang et al ldquoStrength training characteristicsof different loads based on acceleration sensor and finiteelement simulationrdquo Sensors vol 21 no 2 2021

Mathematical Problems in Engineering 11

project can be established based on the projectrsquos charac-teristics In contemporary volleyball effectively creating thecontent system of athletesrsquo physical training is a critical

component of ensuring that theymeet their physical traininggoals Physical training for volleyball players is a complicatedsystem including many variables In the course of training

Table 1 Methods of upper limb strength training of volleyball players

Denomination of dive Effect Using instruments Weight () Number ofgroupstimes frequency

Bench press inclined boardpress

Pectoralis major anterior deltoidbiceps brachii Bench press barbell 79sim90 5sim8times 2sim5

Sell without turning a profit Deltoid pectoralis major tricepsbrachii Light barbell dumbbell 65 5sim5times 8

Neck back push sitting push Deltoid triceps Barbell dumbbell 55sim65 5times 7Upper arm surround Biceps triceps deltoid Barbell barbell piece 55sim65 4sim9times12

Forearm surround Biceps brachii pronator teres Horizontal bar barbellpiece 55sim65 4sim9times12

Triceps extension Triceps brachii extensor carpimuscles

Horizontal bar barbellpiece 55sim65 4sim9times12

Lying triceps extension Triceps brachii Horizontal bar barbellpiece 55sim65 4sim9times12

Push the wall with yourfingers Triceps brachii Wall or floor Deadweight 4sim9times12

Load suspension Triceps brachii Ground Lighter 4times 7sim11

Table 2 Training methods of trunk strength of volleyball players

Denomination of dive Effect Using instruments Weight()

Number ofgroupstimes frequency

One hand side pull Internal and external oblique muscleof abdomen Big dumbbell 55sim65 3sim3times 7sim12

Weight-bearing swivel Internal and external oblique musclesgluteus maximus Barbell 65sim75 3sim4times 6sim9

Weight lifter Biceps femoris gluteus maximus Barbell 75sim85 5sim6times 6sim11Bow body Biceps femoris gluteus maximus Barbell 75sim85 6sim8times 2sim4Width pull-up Stretch trunk knee and foot flexors Barbell 75sim85 6simtimes 2sim4Straight leg hard pull Biceps femoris gluteus maximus Barbell 75sim85 6sim8times 2sim4

Abdominal curl Rectus femoris iliopsoas rectusabdominis Sand coat bell piece 55sim65 3simtimes 9sim12

Inclined plate abdomen andleg lifting

Rectus femoris iliopsoas rectusabdominis

Sand shinguard orconfrontation 55sim65 3simtimes 4sim12

Training cyclesystem

Training contentsystem

Training methodsystem

Theoretical frameworkof physical fitness trainingfor elite volleyball playerst

Training targetsystem

Multi year trainingcycle Annual training cycle Stage training cycle Basic training cycle

Figure 3 +eoretical system framework of physical training for excellent volleyball players

Mathematical Problems in Engineering 3

athletes are influenced by a variety of elements both withinand outside the system [12] +e human body is a largeopen and complicated system that interacts with both thenatural and social environments +erefore when imple-menting physical training for athletes we must pay attentionto the integrity relevance and comprehensive methods ofphysical systems and seek the optimization of trainingcontent design and implementation

22 Evaluation Index of StrengthQuality of Volleyball PlayersVolleyball is a competitive sport with rich content It hasvarious technical actions and complex tactics It has clearposition requirements for athletes competing on the fieldand athletes in different special positions have differenttechnical and tactical characteristics For example the mostimportant of free men must be the first pass and defensewhile the secondary attack is blocking and fast attack [13]+e requirements for blocking and attack in response to thesecond pass are equally high but the types and forms ofblocking and attack are obviously different from the sec-ondary attack As a result a high-level team should focus notonly on the physical attributes needed by volleyball specialsports but also on the physical activities of athletes in variousspecial positions and jobs as well as volleyball playersrsquophysical training particularly for various special positions[14] Targeted physical training for athletes with variousindividual characteristics is an important field of thecompetitive volleyball research that is not only in line withthe worldrsquos volleyball research development direction butalso an important factor in promoting the continuous im-provement of competitive volleyball level Sports quality isan essential component of competitive ability and an out-ward expression of athletesrsquo physical fitness level Due to thedifferent characteristics of each project the required sportsquality development level is also different (Table 3)

Taking Chinarsquos excellent volleyball players as the researchobject we should first clarify the main characteristics of tacticaldevelopment the concept of physical fitness of excellent vol-leyball players and the relevant theories of physical fitnesstraining take the special physical fitness training of volleyballplayers as the research basis and analyze the body shapecharacteristics technical and tactical characteristics andtechnical and tactical guiding ideology of athletes [15] +ispaper discusses the scientific theoretical principles of physicaltraining of elite volleyball players and explores the establish-ment of the content and method system of physical training ofelite volleyball players [16] Based on the analysis of the actionstructure and muscle strength characteristics of volleyball themeans and methods of strength training for volleyball playersare designed as shown in Tables 4 and 5

Muscle strength for example refers to the capacity towithstand resistance whenmuscles are stiff or flexed and it isalso the human bodyrsquos sole source of force for sports As aresult one of the physical aspects that determines sportssuccess in competitive sports is strength ability [17] Inrecent years research on human muscle strength has pri-marily focused on the development of human musclestrength test methods and instruments However data

analysis and data processing of test results have remained ingeneral analysis and statistical processing correlationcomparison and inspection [18] Volleyball training focuseson improving playersrsquo explosive strength flexibility andexceptional endurance Table 6 lists the most common ways

Physical fitness refers to the ability to support volleyballplayers to complete a sport or competition +ese abilitiesinclude body shape body function and sports quality+erefore the primary and secondary indicators of modelconstruction can be determined but there are many otherindicators of subordinates [19] If they are selected theamount of calculation will be increased which is not con-ducive to impact assessment so they need to be selected Inthis section the expert interview method is used to select thethree-level indicators and the selection results are shown inTable 7

By analyzing the above research results it can be con-sidered that many scholars have mainly discussed the specialsports quality of volleyball players from the aspects ofjumping ability special strength special speed arm swingability special endurance sensitivity and flexibility If xij isthe relative importance of the two indicators then thejudgment matrix can be described as follows

xij1113872 1113873ntimesn

x11 x12 x13 x1n

x21 x22 x23 x2n

xn1 xn2 xn3 xmn

⎡⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎣

⎤⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎦

(2)

where xmn and (xij)ntimesn are the important indexesAmong them jumping ability special speed and arm swingability are the key contents of volleyball playersrsquo specialsports quality Set si as a set of sni data samples with the labelpi and m different values Since P is the number of samplesin R the required information is

I si sni( 1113857 R xij1113872 1113873ntimesn

minus P 1113944m

i1Q + log2 pi( 1113857 (3)

where P An minus 1eminus τR minus 1 is the probability event of anysample belonging to Fn minus 1 For the gain of fitness andfatigue caused by training the difference equation ofphysical fitness state after training is formula (4) where wn

and kf represent the gain coefficient and there is a limit(eminus τ) for the increase in fitness

Pn An minus 1Fn + kewnAn minus 1e

minus τ

kn minus I si sni( 1113857minus GFn minus 1e

minus τ+ kfwn

(4)

where An and Fn represent the training load on day nand the physical state on the day respectively Pn representsthe adaptation and fatigue on day n respectively kf and kn

are the score which represents the adaptation and fatiguegain caused by training and the coefficient represents thehours of adaptation and fatigue regression respectively Gindicates the limit of adaptation [20] According to theresults it is found that each variable conforms to the normaldistribution +e corresponding information gain can be

4 Mathematical Problems in Engineering

Table 4 Strength training methods of volleyball players

Main means Secondary means Small muscle groupHalf squat deep squat and loading on the bench Snatch and calf flexion Finger push-upHeel lifting squatting and half squatting Lunge jump and sit-ups Load your knees highSupine true arm depression Stands up like goat bows and jumps Lateral flexion wrist flexion and extension

Table 5 Strength training methods of volleyball players

Training method Denomination of dive Resistance Number ofgroups Frequency Interval

time Explain

Concession exercise Squat 110sim130 3sim5 6 4 minute Slow down and add

protection

Static exercise Half squat shallowsquat 85sim100 3sim5 11 7 minute Segmentable static

Dynamic exercise Snatch 75sim100 4sim7 1sim11 4 minute Fast speedExplosive and bouncingstrength training mdash 25sim45 3sim7 11sim13 mdash Explosive

Small muscle group Finger wrist muscles grasping shot put (15 times) finger push-ups (15 times) one arm push-ups (15times) goat push-up static force (9 seconds) weight-bearing goat push-up (35 kg) times (10 times)

Table 6 Physical training methods of volleyball players

Method steps

Jump down practice+e athlete stands on the hopper with his feet parallel and shoulder-width apart and jumps off the box landingon both feet and bending his knees and hips maintain the posture for 5 seconds then relax and regress

immediately jump on the box carry out the next training and repeat 6 times

Deep jump practice +e athlete stands on the box with his feet the same width as his hips After jumping off he immediately jumpsup with his feet on the ground jumps as high as possible swings his arms and repeats 6 times

Slide movement exerciseUse 6sim10 cones to form a Z-shape with a spacing of 3 inches +e athlete starts standing up and starts runningStart with the first cone and step backward After the second one use the slide and the third cone of the cross

trail Stand up and clap your hands

Practice method of ldquoZhirdquofont

Place a row of obstacles one yard apart from each other +e athlete stands at the starting point steps forwarddiagonally to the right falls on the right side of the obstacle keeps up with the left foot falls on the left side of

the second obstacle and so on +e word ldquoZhirdquo passes through all obstacles

Table 7 Selected model indicators

Primary index Secondary index Tertiary indicators

Physical fitness changes of volleyball playersSecondary index Height dimension and weightPhysical function Biochemical indexes and cardiopulmonary functionSports quality Sports and special conditions

Table 3 Factors affecting the importance of physical fitness in different projects

Degree ofimportance

Project

Speed power project Cyclical projectItems requiring

complex coordinatedaction

Collectiveconfrontation project

One to oneconfrontation project

ASpeed speed strengthexplosive power special

endurance

Special endurance oneendurance specialstrength relative

strength

Flexibility agilitycoordination andrelative strength

Sensitivecoordination

explosive powerrelative power

Explosive forcemaximum forcerelative force

B Relative force maximumforce

Strength endurancespeed speed strength

Special enduranceexplosiveness speed

speed strength

Special enduranceexplosiveness speed

speed strength

Relative force speedspeed force

C

General enduranceflexibility agility andcoordination strength

and endurance

Maximum strengthexplosiveness

flexibility agility andcoordination

Maximum strengthgeneral endurancestrength endurance

General enduranceflexibility strength

endurance

An endurancesensitive coordinationflexibility general

endurance

Mathematical Problems in Engineering 5

obtained from the expected information and entropy and itscalculation formula is

Gain(A) Pn minus kewn + E(A) (5)

+ere are many calculation methods of index weightsuch as eigenvector method and geometric average methodbut they all have their own disadvantages +e former is toocomplex and expensive while the latter is simple but thecalculation result is inaccurate [21] +erefore in this sec-tion the above two calculation methods are abandoned andthe arithmetic average method combining the above twoadvantages is used to calculate the index weight +earithmetic average method is described by the followingmathematical formula

f(x) 1n

minus Gain(A) 1113944n

j1

1M 1113936

ni1 xij1113872 1113873

ntimesn

(6)

Using this formula we can accurately calculate theweight value of each index in Table 1 and make full prep-arations for the subsequent physical fitness evaluation +eevaluation standard set of athletesrsquo physical fitness can beexpressed by the following set

M m1 m2 m3 m4 m51113864 1113865 (7)

where m is the set of evaluation criteria m1 is excellentm2 is good m3 is general m4 unqualified and m5 is thedifference +e information gain of each attribute is cal-culated and the attribute with the highest gain is selected asthe test attribute of the given set S as well as the corre-sponding branch node +ere is a lack of deeper data miningresearch and decision analysis for a big number of originaldata findings obtained in a sports scientific study and it ishard to identify what is concealed in the test data Althoughstatistical approaches have made significant contributions tosports science research their limits have been discoveredthroughout the application data analysis process leaving usunhappy in solving and analyzing vast amounts of real testdata [22] +e emergence of data mining technology pro-vides a scientific method for people to extract useful in-formation hidden between data from a large number of dataAccording to the relationship between force and timefunction f(x) isin [0 1) because f(x) is continuous in theinterval of 0 according to the boundedness theorem of acontinuous function on the closed interval f(x) has themaximum value on [0 1) because fprime(x)ge 0 fprime(x) ismonotonically increasing on [0 1) so themaximum value off(x) should be obtained at the right endpoint x t that is

f(n) f(t) minus 1

M f(x) minus fprime(x)1113858 11138592 (8)

Each variable conforms to the normal distribution +especial physical fitness of volleyball players refers to theability of volleyball players to bear the load required tocomplete the skills and tactics of volleyball and adapt to thechanges in the internal and external environment in specialtraining and competition It includes three aspects +ebodily type functional level and sporting quality of athletes

Body shape is the most fundamental and lowest degree ofphysical performance according to the level of analysis [23]+e functional level is the middle level of physical perfor-mance and its development level can be improved to adegree through systematic training Sports quality is thehighest level of physical performance and it is primarilyinfluenced by genetic factors and less so by training factorsthan other aspects Functional level is the middle level ofphysical performance and its development level can beimproved to a degree through systematic training Sportsquality is the highest level of physical performance Manyexperts characterize it as the restricted definition of physicalfitness It is the outward representation of an athletersquosphysical ability which is heavily influenced by trainingvariables

23 Progress Planning of Strength Quality Training of Vol-leyball Players Among the three classification structures ofvolleyball playersrsquo physical fitness sports quality is thecategory with the highest degree of training +e determi-nation of training content and the selection of methods andmeans should also focus on the improvement of sportsquality [24 25] +e physical function and body shape mustalso change with the change in sports quality +e specialquality of volleyball players mainly includes special basicquality and special compound quality +e strength speedendurance and flexibility needed by volleyball attack anddefense technical action are referred to as the specificfundamental quality Among these explosive quality is oneof them and explosive quality is separated into three cat-egories ballistics resilience and obligatory explosive powerSpecial composite quality refers to a variety of abilitiesneeded for volleyball attack and defense technical actionsand tactical transformations such as special strength speedbouncing ability sensitive coordination ability swing abilityand special endurance Flexibility and response time areexceptional Volleyballrsquos unique compound quality is madeup of two or more fundamental sports characteristicsAnalyzing the existing research results the main contents ofvolleyball playersrsquo physical training are shown in Figure 4

+e basic cycle training system is the most basic unit ofthe periodic training system According to different classi-fication standards excellent volleyball playersrsquo basic cycletraining system can be divided into functional characteristiccycle structural characteristic cycle content characteristiccycle and load characteristic cycle as shown in Figure 5+erefore the determination of the basic cycle trainingstandard should serve the stage training cycle system

Training methods and means are the premises for vol-leyball players to create excellent sports results Due to thediversity of the volleyball physical training content and thecharacteristics of mutual connection and hierarchy thediversity of training methods and means is determined +econstruction of volleyball physical training method system isto establish various physical training methods to meet theneeds of volleyball based on the content of physical training+e combination of these physical training methods con-stitutes the method system of volleyball playersrsquo physical

6 Mathematical Problems in Engineering

training In choosing training methods and means we shouldnot only take the training content as the main basis but alsoclosely combine it with the technical movements of volleyballOn the basis of strength speed endurance flexibility andsensitivity as general sports qualities we will focus on thedevelopment of exercise methods of mobile ability arm swingability jumping ability coordination ability and special ex-plosive power +e organic combination of these with variousexercise methods in sports training constitutes the methodsystem of special sports quality training for excellent volleyballplayers as shown in Figure 6

Volleyball playersrsquo periodic training systems are dividedinto four categories multiyear periodic training yearlyperiodic training stage periodic training and basic periodictraining Among these the multiyear cycle training

approach is mostly governed by the timing of major contestslike the Olympic Games which usually take place every fouryears +e training method splits the particular stage cycleaccording to the distinct competitive tasks using an annualtraining cycle +e first-order periodic training system ismade up of multiple fundamental cycles each of which has adistinct set of tasks and a variable length of time +e mostfundamental unit of the periodic training system is the basicperiodic training system which is formed based on severalspecialized activities +e current development trend ofcompetitive sports makes several competitive peaks appearin a large training cycle so the scientific planning and designof the training cycle are very important for excellent athletesOf course it is unrealistic to require athletes to deal withmany competitive peaks every year so the number of

Basic cycletraining system

Functionalfeatures

structurecharacteristics

Loadcharacteristics

Recoveryweek

Improveweek Keep week

Competitionweek

Pure physicalfitness week

Sports andtechnologyintegration

week

CombinationWeek of

sports and war

Contentfeatures

Basic physicalfitness week

Special fitnessweek

Heavy loadcycle

Impulse loadcycle

Low loadweek

Figure 5 Classification of basic cycle training system of volleyball players

Volley ballplayersphysicalfitness

Sports quality

Soul quality

BouncingqualitySpecial

flexibilitySpecial

endurance

Special speed

Special force

Body shape

Physicalfunction

Energy metabolismsystem

Nerve conductionsystem

Skeletal muscle system

Figure 4 Basic composition of volleyball playersrsquo sports theoretical quality

Mathematical Problems in Engineering 7

competitive peaks should be determined according to theneeds of sports teams and athletes

3 Analysis of Experimental Results

T-test was performed on the measured data using thecommonly used sports statistics (XS) method to test thesignificance of the experimental effect+e data processing iscompleted on the Casio FX-3800P calculator Based on the

above data the experimental group is further divided intothe control group for comparative detection According tothe experimental design the experimental group and thecontrol group are taught and the teaching effect is com-pared +e control group is taught with the traditionalteaching method and the original progress Before the end ofeach operation class the experimental group took15minutes to arrange strength quality training in a targetedand step-by-step manner in combination with technical

Competitiontraining method

Power Locomotivity Serve

Speed Arm swing abilitySpiking

Endurance Bounce Ability

Block

Pliable Special explosive force

Cushion

Sensitive Coordination ability Defense

pass the ball

Circular trainingmethod

Transformationtraining method

Continuoustraining method

Intermittenttraining method

Decompositiontraining method

Complete trainingmethod

Repetitive trainingmethod

Figure 6 Construction of special physical fitness training method for volleyball players

Table 8 Content design of classroom strength quality training

Textbookcontent Develop the main group muscle Practice method Practice

timePracticeintensity

Pass the ball Flexor digitorum flexor carpimuscle

Lifting and grasping shot put or sandbag fingerstanding and lying support etc

20minutes Maximum 65sim80

Cushion Arm and leg muscles Jib flexion and extension triangular movement etc

Serve Shoulder girdle muscle trunkmuscle +row a solid ball with one or both hands etc

Spiking Wrist flexor shoulder girdle trunkand leg muscles

Run up take-off throw a softball multi-level jumpetc

Table 9 Comparison of physical fitness of athletes in each group before and after the experiment

50M (s) 800M (s) Standing long jump(CM) Shot put (CM) Sit ups (times

minute)

Preliminary test ofexperiment

Experimentalclass 925plusmn 352 25665plusmn 1252 16761plusmn 1075 45506plusmn 795 2461plusmn 1432

Control class 929plusmn 348 24912plusmn 1165 16352plusmn 1252 45626plusmn 965 2675plusmn 1425Mean difference minus06 minus371 331 minus429 minus125

P gt005 gt005 gt005 gt005 gt005

End of experiment

Experimentalclass 833plusmn 125 22832plusmn 1152 18632plusmn 962 53512plusmn 865 3575plusmn 485

Control class 923plusmn 265 23865plusmn 1311 17765plusmn 1002 50832plusmn 1078 3083plusmn 335Mean difference minus098 minus1198 895 2815 495

P lt03 lt005 lt005 lt002 lt002

8 Mathematical Problems in Engineering

movements and practice structure +e design mode ofclassroom strength quality training is shown in Table 8

Table 9 shows the comparison of physical fitness ofathletes in each group before and after the experiment

Table 10 shows the comparison of physical fitness ofathletes in each group before and after the experiment

It can be seen from the values in Table 10 that thephysical fitness indexes of the experimental group afterpractice are significantly higher than those before the ex-periment and the difference is very significant It can be seenthat the plasticity of athletesrsquo physical quality is greatVolleyball technology has high requirements for strengthquality thus purposeful and targeted strengthening strengthquality training may help athletes enhance their entirephysical quality Serving for example needs shoulder girdleand trunk muscular strength passing necessitates flexorfingers and wrist muscle strength and spiking necessitateswrist flexor muscles shoulder girdle muscles trunk musclesand various leg muscle groups Strengthening strong qualitytraining may help athletes develop other physical charac-teristics but when athletes feel successful it can boost theirlearning excitement and help them avoid the weariness thatcomes with quality exercise Learning sports technology isbuilt on a foundation of good physical health +e results inthe table show that the physical attributes of the two groupsof athletes improved after the experiment +e developmentof quality indicators in the experimental group is signifi-cantly better than that in the control group and the

difference between the two groups has reached a significantdifference and the two items of shot put and sit-ups havereached a very significant difference +e control group alsoimproved but the improvement range was not as large asthat of the experimental group According to the relation-ship between force measurement and time the musclestrength test process is limited to a specific force and timeframe and the FT curve method is used to describe orexplain the variation characteristics of muscle strength +eresults are shown in Figure 7

Table 10 Comparison of self data mean of the experimental group before and after the experiment

Group items Before experiment After test Mean difference P

50M (s) 925plusmn 365 833plusmn 115 092 gt006800M (s) 24565plusmn 1325 22739plusmn 1220 1895 lt001Standing long jump (CM) 16732plusmn 1171 18565plusmn 962 1965 lt001Shot put (CM)) 45603plusmn 785 53512plusmn 867 -8008 lt001Sit ups (timesminute) 2552plusmn 1365 3579 -1226 lt001

Forc

e

Fmax

Time X(time)

50ms

Y=f(x)

t

STK

(a)

Forc

e

Y+F(x)

t2t1

(b)

Figure 7 FT curve of muscle strength after volleyball player strength training

0

Physical strength

30

60

Traditional methodPaper method

90

30 60 90

Trai

ning

pro

gres

s

Figure 8 Comparison of training effects of two methods

Mathematical Problems in Engineering 9

According to the time spent on the data miningmethods draw the running rate of the two methods for datamining and the results are shown in Figure 8

It can be seen from Figure 8 that the speed of this methodis significantly faster than that of traditional data miningand with the increase in data collection the data miningspeed advantage of this method is more obvious Howeverthe traditional data mining methods cannot analyze big dataquickly which leads to a large amount of data backlog andcannot be processed in time which reduces the rate of datamining Based on the above experimental results it is notdifficult to find that compared with the traditional trainingmethods this method is more scientific and practical

4 Conclusion

Different tactical schools of volleyball are not invariableWith the continuous development of the project the changeof mature rules and the change in athletesrsquo physical con-ditions the tactical characteristics of teams in differentcountries are also changing +e continuous integration anddevelopment of various playing methods are the drivingforce for the current progress of volleyball As long as anyoneignores the research in this field he will lag behind thedevelopment of world volleyball and pay a heavy price Onlythrough continuous absorption and innovation can he standat the forefront of world volleyball Good strength quality ofvolleyball players is the basic condition for masteringtechnology and achieving excellent results but in strengthquality training we should not only pay attention to physicaltraining We should also pay attention to the combination ofskills and tactics and do not ignore flexibility and relaxationtraining so as to achieve the best effect of strength training

Data Availability

+e data used to support the findings of this study are in-cluded within the article

Conflicts of Interest

+e authors declare that they have no conflicts of interest

References

[1] S Liu D Liu K Muhammad and W Ding ldquoEffectivetemplate update mechanism in visual tracking with back-ground clutterrdquo Neurocomputing vol 458 pp 615ndash625 2021

[2] S Liu S Wang X Liu et al ldquoHuman memory updatestrategy a multi-layer template update mechanism for remotevisual monitoringrdquo IEEE Transactions on Multimedia vol 23pp 2188ndash2198 2021

[3] S Liu T He and J Dai ldquoA survey of crf algorithm basedknowledge extraction of elementary mathematics in chineserdquoMobile Networks amp Applications vol 6 pp 1ndash13 2021

[4] K Lian Jing S-y Fang and Y-F Zhou ldquoModel predictivecontrol of the fuel cell cathode system based on state quantityestimationrdquo Computer Simulation vol 37 no 07 pp 119ndash122 2020

[5] S Bardak T Bardak H Peker E Sozen and Y CcedilabukldquoPredicting effects of selected impregnation processes on the

observed bending strength of wood with use of data miningmodelsrdquo Bioresources vol 16 no 3 pp 4891ndash4904 2021

[6] M Y N Attari B Ejlaly H Heidarpour and A Ala ldquoAp-plication of data mining techniques for the investigation offactors affecting transportation enterprisesrdquo IEEE Transac-tions on Intelligent Transportation Systems vol 2021 pp 1ndash162021

[7] N Ioannis P Vasilis and D Sotiris ldquoBayesian models forprediction of the set-difference in volleyballrdquo IMA Journal ofManagement Mathematics vol 34 no 4 p 4 2021

[8] D Gupta J L Jensen and L D Abraham ldquoBiomechanics ofhang-time in volleyball spike jumpsrdquo Journal of Biomechanicsvol 121 no 4 Article ID 110380 2021

[9] A Umek and A Kos ldquoSensor system for augmented feedbackapplications in volleyballrdquo Procedia Computer Sciencevol 174 no 3 pp 369ndash374 2020

[10] B A Pang Z A Ji Z A Zhang et al ldquoCharacteristics ofaerobic resistance strength training with different load in-tensity based on acceleration sensorrdquo Procedia ComputerScience vol 187 no 4 pp 7ndash11 2021

[11] L Zwingmann M Hoppstock J-P Goldmann and P Wahlldquo+e effect of physical training modality on exercise perfor-mance with police-related personal protective equipmentrdquoApplied Ergonomics vol 93 Article ID 103371 2021

[12] R Chu X Chen S Tao and D Yang ldquoResearch on inversesimulation of physical training process based on wirelesssensor networkrdquo International Journal of Distributed SensorNetworks vol 16 no 4 Article ID 155014772091426 2020

[13] T A Prasanna K A Vidhya D Baskar K U Rani andS Joseph ldquoEffect OF yogic practices and physical exercisestraining ON flexibility OF urban BOYS athletessrdquo HighTechnology Letters vol 26 no 6 pp 40ndash44 2020

[14] M Wirth S Kohl S Gradl R Farlock D Roth andB M Eskofier ldquoAssessing visual exploratory activity of ath-letes in virtual reality using head motion characteristicsrdquoSensors vol 21 no 11 2021

[15] T D Saunders R K Le K M Breedlove D A Bradney andT G Bowman ldquoSex differences in mechanisms of headimpacts in collegiate soccer athletesrdquo Clinical Biomechanicsvol 74 no 3 pp 14ndash20 2020

[16] S Kodera T Kamiya T Miyazawa and A Hirata ldquoCorre-lation between estimated thermoregulatory responses andpacing in athletes duringmarathonrdquo IEEE Access vol 8 no 4pp 173079ndash173091 2020

[17] Y Wang ldquoReal-time collection method of athletesrsquo abnormaltraining data based on machine learningrdquoMobile InformationSystems vol 2021 no 3 11 pages Article ID 9938605 2021

[18] S Romagnoli A Sbrollini M Colaneri et al ldquoInitial in-vestigation of athletesrsquo electrocardiograms acquired bywearable sensors during the pre-exercise phaserdquo 8e OpenBiomedical Engineering Journal vol 15 no 1 pp 37ndash44 2021

[19] D Biagini T Lomonaco S Ghimenti et al ldquoSaliva as a non-invasive tool for monitoring oxidative stress in swimmersathletes performing a VO2max cycle ergometer testrdquo Talantavol 216 no 12 Article ID 120979 2020

[20] M Pontillo C M Butowicz D Ebaugh C A +igpenB Sennett and S P Silfies ldquoComparison of core neuro-muscular control and lower extremity postural stability inathletes with and without shoulder injuriesrdquo Clinical Bio-mechanics vol 71 no 7 pp 196ndash200 2020

[21] M Ghaderi A Letafatkar T G Almonroeder andS Keyhani ldquoNeuromuscular training improves knee pro-prioception in athletes with a history of anterior cruciate

10 Mathematical Problems in Engineering

ligament reconstruction a randomized controlled trialrdquoClinical Biomechanics vol 80 no 4 Article ID 1 2020

[22] C Reche M Viana B L van Drooge et al ldquoAthletesrsquo ex-posure to air pollution during World Athletics Relays a pilotstudyrdquo 8e Science of the Total Environment vol 717 no 4Article ID 137161 2020

[23] N Petrone G Costa G Foscan et al ldquoDevelopment ofinstrumented running prosthetic feet for the collection oftrack loads on elite athletesrdquo Sensors vol 20 no 20 2020

[24] R Moghdani K Salimifard E Demir and A BenyettouldquoMulti-objective volleyball premier league algorithmKnowledge-based systemsrdquo vol 196 no 4 Article ID 1057812020

[25] B Pang Z Ji Z Zhang et al ldquoStrength training characteristicsof different loads based on acceleration sensor and finiteelement simulationrdquo Sensors vol 21 no 2 2021

Mathematical Problems in Engineering 11

athletes are influenced by a variety of elements both withinand outside the system [12] +e human body is a largeopen and complicated system that interacts with both thenatural and social environments +erefore when imple-menting physical training for athletes we must pay attentionto the integrity relevance and comprehensive methods ofphysical systems and seek the optimization of trainingcontent design and implementation

22 Evaluation Index of StrengthQuality of Volleyball PlayersVolleyball is a competitive sport with rich content It hasvarious technical actions and complex tactics It has clearposition requirements for athletes competing on the fieldand athletes in different special positions have differenttechnical and tactical characteristics For example the mostimportant of free men must be the first pass and defensewhile the secondary attack is blocking and fast attack [13]+e requirements for blocking and attack in response to thesecond pass are equally high but the types and forms ofblocking and attack are obviously different from the sec-ondary attack As a result a high-level team should focus notonly on the physical attributes needed by volleyball specialsports but also on the physical activities of athletes in variousspecial positions and jobs as well as volleyball playersrsquophysical training particularly for various special positions[14] Targeted physical training for athletes with variousindividual characteristics is an important field of thecompetitive volleyball research that is not only in line withthe worldrsquos volleyball research development direction butalso an important factor in promoting the continuous im-provement of competitive volleyball level Sports quality isan essential component of competitive ability and an out-ward expression of athletesrsquo physical fitness level Due to thedifferent characteristics of each project the required sportsquality development level is also different (Table 3)

Taking Chinarsquos excellent volleyball players as the researchobject we should first clarify the main characteristics of tacticaldevelopment the concept of physical fitness of excellent vol-leyball players and the relevant theories of physical fitnesstraining take the special physical fitness training of volleyballplayers as the research basis and analyze the body shapecharacteristics technical and tactical characteristics andtechnical and tactical guiding ideology of athletes [15] +ispaper discusses the scientific theoretical principles of physicaltraining of elite volleyball players and explores the establish-ment of the content and method system of physical training ofelite volleyball players [16] Based on the analysis of the actionstructure and muscle strength characteristics of volleyball themeans and methods of strength training for volleyball playersare designed as shown in Tables 4 and 5

Muscle strength for example refers to the capacity towithstand resistance whenmuscles are stiff or flexed and it isalso the human bodyrsquos sole source of force for sports As aresult one of the physical aspects that determines sportssuccess in competitive sports is strength ability [17] Inrecent years research on human muscle strength has pri-marily focused on the development of human musclestrength test methods and instruments However data

analysis and data processing of test results have remained ingeneral analysis and statistical processing correlationcomparison and inspection [18] Volleyball training focuseson improving playersrsquo explosive strength flexibility andexceptional endurance Table 6 lists the most common ways

Physical fitness refers to the ability to support volleyballplayers to complete a sport or competition +ese abilitiesinclude body shape body function and sports quality+erefore the primary and secondary indicators of modelconstruction can be determined but there are many otherindicators of subordinates [19] If they are selected theamount of calculation will be increased which is not con-ducive to impact assessment so they need to be selected Inthis section the expert interview method is used to select thethree-level indicators and the selection results are shown inTable 7

By analyzing the above research results it can be con-sidered that many scholars have mainly discussed the specialsports quality of volleyball players from the aspects ofjumping ability special strength special speed arm swingability special endurance sensitivity and flexibility If xij isthe relative importance of the two indicators then thejudgment matrix can be described as follows

xij1113872 1113873ntimesn

x11 x12 x13 x1n

x21 x22 x23 x2n

xn1 xn2 xn3 xmn

⎡⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎣

⎤⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎦

(2)

where xmn and (xij)ntimesn are the important indexesAmong them jumping ability special speed and arm swingability are the key contents of volleyball playersrsquo specialsports quality Set si as a set of sni data samples with the labelpi and m different values Since P is the number of samplesin R the required information is

I si sni( 1113857 R xij1113872 1113873ntimesn

minus P 1113944m

i1Q + log2 pi( 1113857 (3)

where P An minus 1eminus τR minus 1 is the probability event of anysample belonging to Fn minus 1 For the gain of fitness andfatigue caused by training the difference equation ofphysical fitness state after training is formula (4) where wn

and kf represent the gain coefficient and there is a limit(eminus τ) for the increase in fitness

Pn An minus 1Fn + kewnAn minus 1e

minus τ

kn minus I si sni( 1113857minus GFn minus 1e

minus τ+ kfwn

(4)

where An and Fn represent the training load on day nand the physical state on the day respectively Pn representsthe adaptation and fatigue on day n respectively kf and kn

are the score which represents the adaptation and fatiguegain caused by training and the coefficient represents thehours of adaptation and fatigue regression respectively Gindicates the limit of adaptation [20] According to theresults it is found that each variable conforms to the normaldistribution +e corresponding information gain can be

4 Mathematical Problems in Engineering

Table 4 Strength training methods of volleyball players

Main means Secondary means Small muscle groupHalf squat deep squat and loading on the bench Snatch and calf flexion Finger push-upHeel lifting squatting and half squatting Lunge jump and sit-ups Load your knees highSupine true arm depression Stands up like goat bows and jumps Lateral flexion wrist flexion and extension

Table 5 Strength training methods of volleyball players

Training method Denomination of dive Resistance Number ofgroups Frequency Interval

time Explain

Concession exercise Squat 110sim130 3sim5 6 4 minute Slow down and add

protection

Static exercise Half squat shallowsquat 85sim100 3sim5 11 7 minute Segmentable static

Dynamic exercise Snatch 75sim100 4sim7 1sim11 4 minute Fast speedExplosive and bouncingstrength training mdash 25sim45 3sim7 11sim13 mdash Explosive

Small muscle group Finger wrist muscles grasping shot put (15 times) finger push-ups (15 times) one arm push-ups (15times) goat push-up static force (9 seconds) weight-bearing goat push-up (35 kg) times (10 times)

Table 6 Physical training methods of volleyball players

Method steps

Jump down practice+e athlete stands on the hopper with his feet parallel and shoulder-width apart and jumps off the box landingon both feet and bending his knees and hips maintain the posture for 5 seconds then relax and regress

immediately jump on the box carry out the next training and repeat 6 times

Deep jump practice +e athlete stands on the box with his feet the same width as his hips After jumping off he immediately jumpsup with his feet on the ground jumps as high as possible swings his arms and repeats 6 times

Slide movement exerciseUse 6sim10 cones to form a Z-shape with a spacing of 3 inches +e athlete starts standing up and starts runningStart with the first cone and step backward After the second one use the slide and the third cone of the cross

trail Stand up and clap your hands

Practice method of ldquoZhirdquofont

Place a row of obstacles one yard apart from each other +e athlete stands at the starting point steps forwarddiagonally to the right falls on the right side of the obstacle keeps up with the left foot falls on the left side of

the second obstacle and so on +e word ldquoZhirdquo passes through all obstacles

Table 7 Selected model indicators

Primary index Secondary index Tertiary indicators

Physical fitness changes of volleyball playersSecondary index Height dimension and weightPhysical function Biochemical indexes and cardiopulmonary functionSports quality Sports and special conditions

Table 3 Factors affecting the importance of physical fitness in different projects

Degree ofimportance

Project

Speed power project Cyclical projectItems requiring

complex coordinatedaction

Collectiveconfrontation project

One to oneconfrontation project

ASpeed speed strengthexplosive power special

endurance

Special endurance oneendurance specialstrength relative

strength

Flexibility agilitycoordination andrelative strength

Sensitivecoordination

explosive powerrelative power

Explosive forcemaximum forcerelative force

B Relative force maximumforce

Strength endurancespeed speed strength

Special enduranceexplosiveness speed

speed strength

Special enduranceexplosiveness speed

speed strength

Relative force speedspeed force

C

General enduranceflexibility agility andcoordination strength

and endurance

Maximum strengthexplosiveness

flexibility agility andcoordination

Maximum strengthgeneral endurancestrength endurance

General enduranceflexibility strength

endurance

An endurancesensitive coordinationflexibility general

endurance

Mathematical Problems in Engineering 5

obtained from the expected information and entropy and itscalculation formula is

Gain(A) Pn minus kewn + E(A) (5)

+ere are many calculation methods of index weightsuch as eigenvector method and geometric average methodbut they all have their own disadvantages +e former is toocomplex and expensive while the latter is simple but thecalculation result is inaccurate [21] +erefore in this sec-tion the above two calculation methods are abandoned andthe arithmetic average method combining the above twoadvantages is used to calculate the index weight +earithmetic average method is described by the followingmathematical formula

f(x) 1n

minus Gain(A) 1113944n

j1

1M 1113936

ni1 xij1113872 1113873

ntimesn

(6)

Using this formula we can accurately calculate theweight value of each index in Table 1 and make full prep-arations for the subsequent physical fitness evaluation +eevaluation standard set of athletesrsquo physical fitness can beexpressed by the following set

M m1 m2 m3 m4 m51113864 1113865 (7)

where m is the set of evaluation criteria m1 is excellentm2 is good m3 is general m4 unqualified and m5 is thedifference +e information gain of each attribute is cal-culated and the attribute with the highest gain is selected asthe test attribute of the given set S as well as the corre-sponding branch node +ere is a lack of deeper data miningresearch and decision analysis for a big number of originaldata findings obtained in a sports scientific study and it ishard to identify what is concealed in the test data Althoughstatistical approaches have made significant contributions tosports science research their limits have been discoveredthroughout the application data analysis process leaving usunhappy in solving and analyzing vast amounts of real testdata [22] +e emergence of data mining technology pro-vides a scientific method for people to extract useful in-formation hidden between data from a large number of dataAccording to the relationship between force and timefunction f(x) isin [0 1) because f(x) is continuous in theinterval of 0 according to the boundedness theorem of acontinuous function on the closed interval f(x) has themaximum value on [0 1) because fprime(x)ge 0 fprime(x) ismonotonically increasing on [0 1) so themaximum value off(x) should be obtained at the right endpoint x t that is

f(n) f(t) minus 1

M f(x) minus fprime(x)1113858 11138592 (8)

Each variable conforms to the normal distribution +especial physical fitness of volleyball players refers to theability of volleyball players to bear the load required tocomplete the skills and tactics of volleyball and adapt to thechanges in the internal and external environment in specialtraining and competition It includes three aspects +ebodily type functional level and sporting quality of athletes

Body shape is the most fundamental and lowest degree ofphysical performance according to the level of analysis [23]+e functional level is the middle level of physical perfor-mance and its development level can be improved to adegree through systematic training Sports quality is thehighest level of physical performance and it is primarilyinfluenced by genetic factors and less so by training factorsthan other aspects Functional level is the middle level ofphysical performance and its development level can beimproved to a degree through systematic training Sportsquality is the highest level of physical performance Manyexperts characterize it as the restricted definition of physicalfitness It is the outward representation of an athletersquosphysical ability which is heavily influenced by trainingvariables

23 Progress Planning of Strength Quality Training of Vol-leyball Players Among the three classification structures ofvolleyball playersrsquo physical fitness sports quality is thecategory with the highest degree of training +e determi-nation of training content and the selection of methods andmeans should also focus on the improvement of sportsquality [24 25] +e physical function and body shape mustalso change with the change in sports quality +e specialquality of volleyball players mainly includes special basicquality and special compound quality +e strength speedendurance and flexibility needed by volleyball attack anddefense technical action are referred to as the specificfundamental quality Among these explosive quality is oneof them and explosive quality is separated into three cat-egories ballistics resilience and obligatory explosive powerSpecial composite quality refers to a variety of abilitiesneeded for volleyball attack and defense technical actionsand tactical transformations such as special strength speedbouncing ability sensitive coordination ability swing abilityand special endurance Flexibility and response time areexceptional Volleyballrsquos unique compound quality is madeup of two or more fundamental sports characteristicsAnalyzing the existing research results the main contents ofvolleyball playersrsquo physical training are shown in Figure 4

+e basic cycle training system is the most basic unit ofthe periodic training system According to different classi-fication standards excellent volleyball playersrsquo basic cycletraining system can be divided into functional characteristiccycle structural characteristic cycle content characteristiccycle and load characteristic cycle as shown in Figure 5+erefore the determination of the basic cycle trainingstandard should serve the stage training cycle system

Training methods and means are the premises for vol-leyball players to create excellent sports results Due to thediversity of the volleyball physical training content and thecharacteristics of mutual connection and hierarchy thediversity of training methods and means is determined +econstruction of volleyball physical training method system isto establish various physical training methods to meet theneeds of volleyball based on the content of physical training+e combination of these physical training methods con-stitutes the method system of volleyball playersrsquo physical

6 Mathematical Problems in Engineering

training In choosing training methods and means we shouldnot only take the training content as the main basis but alsoclosely combine it with the technical movements of volleyballOn the basis of strength speed endurance flexibility andsensitivity as general sports qualities we will focus on thedevelopment of exercise methods of mobile ability arm swingability jumping ability coordination ability and special ex-plosive power +e organic combination of these with variousexercise methods in sports training constitutes the methodsystem of special sports quality training for excellent volleyballplayers as shown in Figure 6

Volleyball playersrsquo periodic training systems are dividedinto four categories multiyear periodic training yearlyperiodic training stage periodic training and basic periodictraining Among these the multiyear cycle training

approach is mostly governed by the timing of major contestslike the Olympic Games which usually take place every fouryears +e training method splits the particular stage cycleaccording to the distinct competitive tasks using an annualtraining cycle +e first-order periodic training system ismade up of multiple fundamental cycles each of which has adistinct set of tasks and a variable length of time +e mostfundamental unit of the periodic training system is the basicperiodic training system which is formed based on severalspecialized activities +e current development trend ofcompetitive sports makes several competitive peaks appearin a large training cycle so the scientific planning and designof the training cycle are very important for excellent athletesOf course it is unrealistic to require athletes to deal withmany competitive peaks every year so the number of

Basic cycletraining system

Functionalfeatures

structurecharacteristics

Loadcharacteristics

Recoveryweek

Improveweek Keep week

Competitionweek

Pure physicalfitness week

Sports andtechnologyintegration

week

CombinationWeek of

sports and war

Contentfeatures

Basic physicalfitness week

Special fitnessweek

Heavy loadcycle

Impulse loadcycle

Low loadweek

Figure 5 Classification of basic cycle training system of volleyball players

Volley ballplayersphysicalfitness

Sports quality

Soul quality

BouncingqualitySpecial

flexibilitySpecial

endurance

Special speed

Special force

Body shape

Physicalfunction

Energy metabolismsystem

Nerve conductionsystem

Skeletal muscle system

Figure 4 Basic composition of volleyball playersrsquo sports theoretical quality

Mathematical Problems in Engineering 7

competitive peaks should be determined according to theneeds of sports teams and athletes

3 Analysis of Experimental Results

T-test was performed on the measured data using thecommonly used sports statistics (XS) method to test thesignificance of the experimental effect+e data processing iscompleted on the Casio FX-3800P calculator Based on the

above data the experimental group is further divided intothe control group for comparative detection According tothe experimental design the experimental group and thecontrol group are taught and the teaching effect is com-pared +e control group is taught with the traditionalteaching method and the original progress Before the end ofeach operation class the experimental group took15minutes to arrange strength quality training in a targetedand step-by-step manner in combination with technical

Competitiontraining method

Power Locomotivity Serve

Speed Arm swing abilitySpiking

Endurance Bounce Ability

Block

Pliable Special explosive force

Cushion

Sensitive Coordination ability Defense

pass the ball

Circular trainingmethod

Transformationtraining method

Continuoustraining method

Intermittenttraining method

Decompositiontraining method

Complete trainingmethod

Repetitive trainingmethod

Figure 6 Construction of special physical fitness training method for volleyball players

Table 8 Content design of classroom strength quality training

Textbookcontent Develop the main group muscle Practice method Practice

timePracticeintensity

Pass the ball Flexor digitorum flexor carpimuscle

Lifting and grasping shot put or sandbag fingerstanding and lying support etc

20minutes Maximum 65sim80

Cushion Arm and leg muscles Jib flexion and extension triangular movement etc

Serve Shoulder girdle muscle trunkmuscle +row a solid ball with one or both hands etc

Spiking Wrist flexor shoulder girdle trunkand leg muscles

Run up take-off throw a softball multi-level jumpetc

Table 9 Comparison of physical fitness of athletes in each group before and after the experiment

50M (s) 800M (s) Standing long jump(CM) Shot put (CM) Sit ups (times

minute)

Preliminary test ofexperiment

Experimentalclass 925plusmn 352 25665plusmn 1252 16761plusmn 1075 45506plusmn 795 2461plusmn 1432

Control class 929plusmn 348 24912plusmn 1165 16352plusmn 1252 45626plusmn 965 2675plusmn 1425Mean difference minus06 minus371 331 minus429 minus125

P gt005 gt005 gt005 gt005 gt005

End of experiment

Experimentalclass 833plusmn 125 22832plusmn 1152 18632plusmn 962 53512plusmn 865 3575plusmn 485

Control class 923plusmn 265 23865plusmn 1311 17765plusmn 1002 50832plusmn 1078 3083plusmn 335Mean difference minus098 minus1198 895 2815 495

P lt03 lt005 lt005 lt002 lt002

8 Mathematical Problems in Engineering

movements and practice structure +e design mode ofclassroom strength quality training is shown in Table 8

Table 9 shows the comparison of physical fitness ofathletes in each group before and after the experiment

Table 10 shows the comparison of physical fitness ofathletes in each group before and after the experiment

It can be seen from the values in Table 10 that thephysical fitness indexes of the experimental group afterpractice are significantly higher than those before the ex-periment and the difference is very significant It can be seenthat the plasticity of athletesrsquo physical quality is greatVolleyball technology has high requirements for strengthquality thus purposeful and targeted strengthening strengthquality training may help athletes enhance their entirephysical quality Serving for example needs shoulder girdleand trunk muscular strength passing necessitates flexorfingers and wrist muscle strength and spiking necessitateswrist flexor muscles shoulder girdle muscles trunk musclesand various leg muscle groups Strengthening strong qualitytraining may help athletes develop other physical charac-teristics but when athletes feel successful it can boost theirlearning excitement and help them avoid the weariness thatcomes with quality exercise Learning sports technology isbuilt on a foundation of good physical health +e results inthe table show that the physical attributes of the two groupsof athletes improved after the experiment +e developmentof quality indicators in the experimental group is signifi-cantly better than that in the control group and the

difference between the two groups has reached a significantdifference and the two items of shot put and sit-ups havereached a very significant difference +e control group alsoimproved but the improvement range was not as large asthat of the experimental group According to the relation-ship between force measurement and time the musclestrength test process is limited to a specific force and timeframe and the FT curve method is used to describe orexplain the variation characteristics of muscle strength +eresults are shown in Figure 7

Table 10 Comparison of self data mean of the experimental group before and after the experiment

Group items Before experiment After test Mean difference P

50M (s) 925plusmn 365 833plusmn 115 092 gt006800M (s) 24565plusmn 1325 22739plusmn 1220 1895 lt001Standing long jump (CM) 16732plusmn 1171 18565plusmn 962 1965 lt001Shot put (CM)) 45603plusmn 785 53512plusmn 867 -8008 lt001Sit ups (timesminute) 2552plusmn 1365 3579 -1226 lt001

Forc

e

Fmax

Time X(time)

50ms

Y=f(x)

t

STK

(a)

Forc

e

Y+F(x)

t2t1

(b)

Figure 7 FT curve of muscle strength after volleyball player strength training

0

Physical strength

30

60

Traditional methodPaper method

90

30 60 90

Trai

ning

pro

gres

s

Figure 8 Comparison of training effects of two methods

Mathematical Problems in Engineering 9

According to the time spent on the data miningmethods draw the running rate of the two methods for datamining and the results are shown in Figure 8

It can be seen from Figure 8 that the speed of this methodis significantly faster than that of traditional data miningand with the increase in data collection the data miningspeed advantage of this method is more obvious Howeverthe traditional data mining methods cannot analyze big dataquickly which leads to a large amount of data backlog andcannot be processed in time which reduces the rate of datamining Based on the above experimental results it is notdifficult to find that compared with the traditional trainingmethods this method is more scientific and practical

4 Conclusion

Different tactical schools of volleyball are not invariableWith the continuous development of the project the changeof mature rules and the change in athletesrsquo physical con-ditions the tactical characteristics of teams in differentcountries are also changing +e continuous integration anddevelopment of various playing methods are the drivingforce for the current progress of volleyball As long as anyoneignores the research in this field he will lag behind thedevelopment of world volleyball and pay a heavy price Onlythrough continuous absorption and innovation can he standat the forefront of world volleyball Good strength quality ofvolleyball players is the basic condition for masteringtechnology and achieving excellent results but in strengthquality training we should not only pay attention to physicaltraining We should also pay attention to the combination ofskills and tactics and do not ignore flexibility and relaxationtraining so as to achieve the best effect of strength training

Data Availability

+e data used to support the findings of this study are in-cluded within the article

Conflicts of Interest

+e authors declare that they have no conflicts of interest

References

[1] S Liu D Liu K Muhammad and W Ding ldquoEffectivetemplate update mechanism in visual tracking with back-ground clutterrdquo Neurocomputing vol 458 pp 615ndash625 2021

[2] S Liu S Wang X Liu et al ldquoHuman memory updatestrategy a multi-layer template update mechanism for remotevisual monitoringrdquo IEEE Transactions on Multimedia vol 23pp 2188ndash2198 2021

[3] S Liu T He and J Dai ldquoA survey of crf algorithm basedknowledge extraction of elementary mathematics in chineserdquoMobile Networks amp Applications vol 6 pp 1ndash13 2021

[4] K Lian Jing S-y Fang and Y-F Zhou ldquoModel predictivecontrol of the fuel cell cathode system based on state quantityestimationrdquo Computer Simulation vol 37 no 07 pp 119ndash122 2020

[5] S Bardak T Bardak H Peker E Sozen and Y CcedilabukldquoPredicting effects of selected impregnation processes on the

observed bending strength of wood with use of data miningmodelsrdquo Bioresources vol 16 no 3 pp 4891ndash4904 2021

[6] M Y N Attari B Ejlaly H Heidarpour and A Ala ldquoAp-plication of data mining techniques for the investigation offactors affecting transportation enterprisesrdquo IEEE Transac-tions on Intelligent Transportation Systems vol 2021 pp 1ndash162021

[7] N Ioannis P Vasilis and D Sotiris ldquoBayesian models forprediction of the set-difference in volleyballrdquo IMA Journal ofManagement Mathematics vol 34 no 4 p 4 2021

[8] D Gupta J L Jensen and L D Abraham ldquoBiomechanics ofhang-time in volleyball spike jumpsrdquo Journal of Biomechanicsvol 121 no 4 Article ID 110380 2021

[9] A Umek and A Kos ldquoSensor system for augmented feedbackapplications in volleyballrdquo Procedia Computer Sciencevol 174 no 3 pp 369ndash374 2020

[10] B A Pang Z A Ji Z A Zhang et al ldquoCharacteristics ofaerobic resistance strength training with different load in-tensity based on acceleration sensorrdquo Procedia ComputerScience vol 187 no 4 pp 7ndash11 2021

[11] L Zwingmann M Hoppstock J-P Goldmann and P Wahlldquo+e effect of physical training modality on exercise perfor-mance with police-related personal protective equipmentrdquoApplied Ergonomics vol 93 Article ID 103371 2021

[12] R Chu X Chen S Tao and D Yang ldquoResearch on inversesimulation of physical training process based on wirelesssensor networkrdquo International Journal of Distributed SensorNetworks vol 16 no 4 Article ID 155014772091426 2020

[13] T A Prasanna K A Vidhya D Baskar K U Rani andS Joseph ldquoEffect OF yogic practices and physical exercisestraining ON flexibility OF urban BOYS athletessrdquo HighTechnology Letters vol 26 no 6 pp 40ndash44 2020

[14] M Wirth S Kohl S Gradl R Farlock D Roth andB M Eskofier ldquoAssessing visual exploratory activity of ath-letes in virtual reality using head motion characteristicsrdquoSensors vol 21 no 11 2021

[15] T D Saunders R K Le K M Breedlove D A Bradney andT G Bowman ldquoSex differences in mechanisms of headimpacts in collegiate soccer athletesrdquo Clinical Biomechanicsvol 74 no 3 pp 14ndash20 2020

[16] S Kodera T Kamiya T Miyazawa and A Hirata ldquoCorre-lation between estimated thermoregulatory responses andpacing in athletes duringmarathonrdquo IEEE Access vol 8 no 4pp 173079ndash173091 2020

[17] Y Wang ldquoReal-time collection method of athletesrsquo abnormaltraining data based on machine learningrdquoMobile InformationSystems vol 2021 no 3 11 pages Article ID 9938605 2021

[18] S Romagnoli A Sbrollini M Colaneri et al ldquoInitial in-vestigation of athletesrsquo electrocardiograms acquired bywearable sensors during the pre-exercise phaserdquo 8e OpenBiomedical Engineering Journal vol 15 no 1 pp 37ndash44 2021

[19] D Biagini T Lomonaco S Ghimenti et al ldquoSaliva as a non-invasive tool for monitoring oxidative stress in swimmersathletes performing a VO2max cycle ergometer testrdquo Talantavol 216 no 12 Article ID 120979 2020

[20] M Pontillo C M Butowicz D Ebaugh C A +igpenB Sennett and S P Silfies ldquoComparison of core neuro-muscular control and lower extremity postural stability inathletes with and without shoulder injuriesrdquo Clinical Bio-mechanics vol 71 no 7 pp 196ndash200 2020

[21] M Ghaderi A Letafatkar T G Almonroeder andS Keyhani ldquoNeuromuscular training improves knee pro-prioception in athletes with a history of anterior cruciate

10 Mathematical Problems in Engineering

ligament reconstruction a randomized controlled trialrdquoClinical Biomechanics vol 80 no 4 Article ID 1 2020

[22] C Reche M Viana B L van Drooge et al ldquoAthletesrsquo ex-posure to air pollution during World Athletics Relays a pilotstudyrdquo 8e Science of the Total Environment vol 717 no 4Article ID 137161 2020

[23] N Petrone G Costa G Foscan et al ldquoDevelopment ofinstrumented running prosthetic feet for the collection oftrack loads on elite athletesrdquo Sensors vol 20 no 20 2020

[24] R Moghdani K Salimifard E Demir and A BenyettouldquoMulti-objective volleyball premier league algorithmKnowledge-based systemsrdquo vol 196 no 4 Article ID 1057812020

[25] B Pang Z Ji Z Zhang et al ldquoStrength training characteristicsof different loads based on acceleration sensor and finiteelement simulationrdquo Sensors vol 21 no 2 2021

Mathematical Problems in Engineering 11

Table 4 Strength training methods of volleyball players

Main means Secondary means Small muscle groupHalf squat deep squat and loading on the bench Snatch and calf flexion Finger push-upHeel lifting squatting and half squatting Lunge jump and sit-ups Load your knees highSupine true arm depression Stands up like goat bows and jumps Lateral flexion wrist flexion and extension

Table 5 Strength training methods of volleyball players

Training method Denomination of dive Resistance Number ofgroups Frequency Interval

time Explain

Concession exercise Squat 110sim130 3sim5 6 4 minute Slow down and add

protection

Static exercise Half squat shallowsquat 85sim100 3sim5 11 7 minute Segmentable static

Dynamic exercise Snatch 75sim100 4sim7 1sim11 4 minute Fast speedExplosive and bouncingstrength training mdash 25sim45 3sim7 11sim13 mdash Explosive

Small muscle group Finger wrist muscles grasping shot put (15 times) finger push-ups (15 times) one arm push-ups (15times) goat push-up static force (9 seconds) weight-bearing goat push-up (35 kg) times (10 times)

Table 6 Physical training methods of volleyball players

Method steps

Jump down practice+e athlete stands on the hopper with his feet parallel and shoulder-width apart and jumps off the box landingon both feet and bending his knees and hips maintain the posture for 5 seconds then relax and regress

immediately jump on the box carry out the next training and repeat 6 times

Deep jump practice +e athlete stands on the box with his feet the same width as his hips After jumping off he immediately jumpsup with his feet on the ground jumps as high as possible swings his arms and repeats 6 times

Slide movement exerciseUse 6sim10 cones to form a Z-shape with a spacing of 3 inches +e athlete starts standing up and starts runningStart with the first cone and step backward After the second one use the slide and the third cone of the cross

trail Stand up and clap your hands

Practice method of ldquoZhirdquofont

Place a row of obstacles one yard apart from each other +e athlete stands at the starting point steps forwarddiagonally to the right falls on the right side of the obstacle keeps up with the left foot falls on the left side of

the second obstacle and so on +e word ldquoZhirdquo passes through all obstacles

Table 7 Selected model indicators

Primary index Secondary index Tertiary indicators

Physical fitness changes of volleyball playersSecondary index Height dimension and weightPhysical function Biochemical indexes and cardiopulmonary functionSports quality Sports and special conditions

Table 3 Factors affecting the importance of physical fitness in different projects

Degree ofimportance

Project

Speed power project Cyclical projectItems requiring

complex coordinatedaction

Collectiveconfrontation project

One to oneconfrontation project

ASpeed speed strengthexplosive power special

endurance

Special endurance oneendurance specialstrength relative

strength

Flexibility agilitycoordination andrelative strength

Sensitivecoordination

explosive powerrelative power

Explosive forcemaximum forcerelative force

B Relative force maximumforce

Strength endurancespeed speed strength

Special enduranceexplosiveness speed

speed strength

Special enduranceexplosiveness speed

speed strength

Relative force speedspeed force

C

General enduranceflexibility agility andcoordination strength

and endurance

Maximum strengthexplosiveness

flexibility agility andcoordination

Maximum strengthgeneral endurancestrength endurance

General enduranceflexibility strength

endurance

An endurancesensitive coordinationflexibility general

endurance

Mathematical Problems in Engineering 5

obtained from the expected information and entropy and itscalculation formula is

Gain(A) Pn minus kewn + E(A) (5)

+ere are many calculation methods of index weightsuch as eigenvector method and geometric average methodbut they all have their own disadvantages +e former is toocomplex and expensive while the latter is simple but thecalculation result is inaccurate [21] +erefore in this sec-tion the above two calculation methods are abandoned andthe arithmetic average method combining the above twoadvantages is used to calculate the index weight +earithmetic average method is described by the followingmathematical formula

f(x) 1n

minus Gain(A) 1113944n

j1

1M 1113936

ni1 xij1113872 1113873

ntimesn

(6)

Using this formula we can accurately calculate theweight value of each index in Table 1 and make full prep-arations for the subsequent physical fitness evaluation +eevaluation standard set of athletesrsquo physical fitness can beexpressed by the following set

M m1 m2 m3 m4 m51113864 1113865 (7)

where m is the set of evaluation criteria m1 is excellentm2 is good m3 is general m4 unqualified and m5 is thedifference +e information gain of each attribute is cal-culated and the attribute with the highest gain is selected asthe test attribute of the given set S as well as the corre-sponding branch node +ere is a lack of deeper data miningresearch and decision analysis for a big number of originaldata findings obtained in a sports scientific study and it ishard to identify what is concealed in the test data Althoughstatistical approaches have made significant contributions tosports science research their limits have been discoveredthroughout the application data analysis process leaving usunhappy in solving and analyzing vast amounts of real testdata [22] +e emergence of data mining technology pro-vides a scientific method for people to extract useful in-formation hidden between data from a large number of dataAccording to the relationship between force and timefunction f(x) isin [0 1) because f(x) is continuous in theinterval of 0 according to the boundedness theorem of acontinuous function on the closed interval f(x) has themaximum value on [0 1) because fprime(x)ge 0 fprime(x) ismonotonically increasing on [0 1) so themaximum value off(x) should be obtained at the right endpoint x t that is

f(n) f(t) minus 1

M f(x) minus fprime(x)1113858 11138592 (8)

Each variable conforms to the normal distribution +especial physical fitness of volleyball players refers to theability of volleyball players to bear the load required tocomplete the skills and tactics of volleyball and adapt to thechanges in the internal and external environment in specialtraining and competition It includes three aspects +ebodily type functional level and sporting quality of athletes

Body shape is the most fundamental and lowest degree ofphysical performance according to the level of analysis [23]+e functional level is the middle level of physical perfor-mance and its development level can be improved to adegree through systematic training Sports quality is thehighest level of physical performance and it is primarilyinfluenced by genetic factors and less so by training factorsthan other aspects Functional level is the middle level ofphysical performance and its development level can beimproved to a degree through systematic training Sportsquality is the highest level of physical performance Manyexperts characterize it as the restricted definition of physicalfitness It is the outward representation of an athletersquosphysical ability which is heavily influenced by trainingvariables

23 Progress Planning of Strength Quality Training of Vol-leyball Players Among the three classification structures ofvolleyball playersrsquo physical fitness sports quality is thecategory with the highest degree of training +e determi-nation of training content and the selection of methods andmeans should also focus on the improvement of sportsquality [24 25] +e physical function and body shape mustalso change with the change in sports quality +e specialquality of volleyball players mainly includes special basicquality and special compound quality +e strength speedendurance and flexibility needed by volleyball attack anddefense technical action are referred to as the specificfundamental quality Among these explosive quality is oneof them and explosive quality is separated into three cat-egories ballistics resilience and obligatory explosive powerSpecial composite quality refers to a variety of abilitiesneeded for volleyball attack and defense technical actionsand tactical transformations such as special strength speedbouncing ability sensitive coordination ability swing abilityand special endurance Flexibility and response time areexceptional Volleyballrsquos unique compound quality is madeup of two or more fundamental sports characteristicsAnalyzing the existing research results the main contents ofvolleyball playersrsquo physical training are shown in Figure 4

+e basic cycle training system is the most basic unit ofthe periodic training system According to different classi-fication standards excellent volleyball playersrsquo basic cycletraining system can be divided into functional characteristiccycle structural characteristic cycle content characteristiccycle and load characteristic cycle as shown in Figure 5+erefore the determination of the basic cycle trainingstandard should serve the stage training cycle system

Training methods and means are the premises for vol-leyball players to create excellent sports results Due to thediversity of the volleyball physical training content and thecharacteristics of mutual connection and hierarchy thediversity of training methods and means is determined +econstruction of volleyball physical training method system isto establish various physical training methods to meet theneeds of volleyball based on the content of physical training+e combination of these physical training methods con-stitutes the method system of volleyball playersrsquo physical

6 Mathematical Problems in Engineering

training In choosing training methods and means we shouldnot only take the training content as the main basis but alsoclosely combine it with the technical movements of volleyballOn the basis of strength speed endurance flexibility andsensitivity as general sports qualities we will focus on thedevelopment of exercise methods of mobile ability arm swingability jumping ability coordination ability and special ex-plosive power +e organic combination of these with variousexercise methods in sports training constitutes the methodsystem of special sports quality training for excellent volleyballplayers as shown in Figure 6

Volleyball playersrsquo periodic training systems are dividedinto four categories multiyear periodic training yearlyperiodic training stage periodic training and basic periodictraining Among these the multiyear cycle training

approach is mostly governed by the timing of major contestslike the Olympic Games which usually take place every fouryears +e training method splits the particular stage cycleaccording to the distinct competitive tasks using an annualtraining cycle +e first-order periodic training system ismade up of multiple fundamental cycles each of which has adistinct set of tasks and a variable length of time +e mostfundamental unit of the periodic training system is the basicperiodic training system which is formed based on severalspecialized activities +e current development trend ofcompetitive sports makes several competitive peaks appearin a large training cycle so the scientific planning and designof the training cycle are very important for excellent athletesOf course it is unrealistic to require athletes to deal withmany competitive peaks every year so the number of

Basic cycletraining system

Functionalfeatures

structurecharacteristics

Loadcharacteristics

Recoveryweek

Improveweek Keep week

Competitionweek

Pure physicalfitness week

Sports andtechnologyintegration

week

CombinationWeek of

sports and war

Contentfeatures

Basic physicalfitness week

Special fitnessweek

Heavy loadcycle

Impulse loadcycle

Low loadweek

Figure 5 Classification of basic cycle training system of volleyball players

Volley ballplayersphysicalfitness

Sports quality

Soul quality

BouncingqualitySpecial

flexibilitySpecial

endurance

Special speed

Special force

Body shape

Physicalfunction

Energy metabolismsystem

Nerve conductionsystem

Skeletal muscle system

Figure 4 Basic composition of volleyball playersrsquo sports theoretical quality

Mathematical Problems in Engineering 7

competitive peaks should be determined according to theneeds of sports teams and athletes

3 Analysis of Experimental Results

T-test was performed on the measured data using thecommonly used sports statistics (XS) method to test thesignificance of the experimental effect+e data processing iscompleted on the Casio FX-3800P calculator Based on the

above data the experimental group is further divided intothe control group for comparative detection According tothe experimental design the experimental group and thecontrol group are taught and the teaching effect is com-pared +e control group is taught with the traditionalteaching method and the original progress Before the end ofeach operation class the experimental group took15minutes to arrange strength quality training in a targetedand step-by-step manner in combination with technical

Competitiontraining method

Power Locomotivity Serve

Speed Arm swing abilitySpiking

Endurance Bounce Ability

Block

Pliable Special explosive force

Cushion

Sensitive Coordination ability Defense

pass the ball

Circular trainingmethod

Transformationtraining method

Continuoustraining method

Intermittenttraining method

Decompositiontraining method

Complete trainingmethod

Repetitive trainingmethod

Figure 6 Construction of special physical fitness training method for volleyball players

Table 8 Content design of classroom strength quality training

Textbookcontent Develop the main group muscle Practice method Practice

timePracticeintensity

Pass the ball Flexor digitorum flexor carpimuscle

Lifting and grasping shot put or sandbag fingerstanding and lying support etc

20minutes Maximum 65sim80

Cushion Arm and leg muscles Jib flexion and extension triangular movement etc

Serve Shoulder girdle muscle trunkmuscle +row a solid ball with one or both hands etc

Spiking Wrist flexor shoulder girdle trunkand leg muscles

Run up take-off throw a softball multi-level jumpetc

Table 9 Comparison of physical fitness of athletes in each group before and after the experiment

50M (s) 800M (s) Standing long jump(CM) Shot put (CM) Sit ups (times

minute)

Preliminary test ofexperiment

Experimentalclass 925plusmn 352 25665plusmn 1252 16761plusmn 1075 45506plusmn 795 2461plusmn 1432

Control class 929plusmn 348 24912plusmn 1165 16352plusmn 1252 45626plusmn 965 2675plusmn 1425Mean difference minus06 minus371 331 minus429 minus125

P gt005 gt005 gt005 gt005 gt005

End of experiment

Experimentalclass 833plusmn 125 22832plusmn 1152 18632plusmn 962 53512plusmn 865 3575plusmn 485

Control class 923plusmn 265 23865plusmn 1311 17765plusmn 1002 50832plusmn 1078 3083plusmn 335Mean difference minus098 minus1198 895 2815 495

P lt03 lt005 lt005 lt002 lt002

8 Mathematical Problems in Engineering

movements and practice structure +e design mode ofclassroom strength quality training is shown in Table 8

Table 9 shows the comparison of physical fitness ofathletes in each group before and after the experiment

Table 10 shows the comparison of physical fitness ofathletes in each group before and after the experiment

It can be seen from the values in Table 10 that thephysical fitness indexes of the experimental group afterpractice are significantly higher than those before the ex-periment and the difference is very significant It can be seenthat the plasticity of athletesrsquo physical quality is greatVolleyball technology has high requirements for strengthquality thus purposeful and targeted strengthening strengthquality training may help athletes enhance their entirephysical quality Serving for example needs shoulder girdleand trunk muscular strength passing necessitates flexorfingers and wrist muscle strength and spiking necessitateswrist flexor muscles shoulder girdle muscles trunk musclesand various leg muscle groups Strengthening strong qualitytraining may help athletes develop other physical charac-teristics but when athletes feel successful it can boost theirlearning excitement and help them avoid the weariness thatcomes with quality exercise Learning sports technology isbuilt on a foundation of good physical health +e results inthe table show that the physical attributes of the two groupsof athletes improved after the experiment +e developmentof quality indicators in the experimental group is signifi-cantly better than that in the control group and the

difference between the two groups has reached a significantdifference and the two items of shot put and sit-ups havereached a very significant difference +e control group alsoimproved but the improvement range was not as large asthat of the experimental group According to the relation-ship between force measurement and time the musclestrength test process is limited to a specific force and timeframe and the FT curve method is used to describe orexplain the variation characteristics of muscle strength +eresults are shown in Figure 7

Table 10 Comparison of self data mean of the experimental group before and after the experiment

Group items Before experiment After test Mean difference P

50M (s) 925plusmn 365 833plusmn 115 092 gt006800M (s) 24565plusmn 1325 22739plusmn 1220 1895 lt001Standing long jump (CM) 16732plusmn 1171 18565plusmn 962 1965 lt001Shot put (CM)) 45603plusmn 785 53512plusmn 867 -8008 lt001Sit ups (timesminute) 2552plusmn 1365 3579 -1226 lt001

Forc

e

Fmax

Time X(time)

50ms

Y=f(x)

t

STK

(a)

Forc

e

Y+F(x)

t2t1

(b)

Figure 7 FT curve of muscle strength after volleyball player strength training

0

Physical strength

30

60

Traditional methodPaper method

90

30 60 90

Trai

ning

pro

gres

s

Figure 8 Comparison of training effects of two methods

Mathematical Problems in Engineering 9

According to the time spent on the data miningmethods draw the running rate of the two methods for datamining and the results are shown in Figure 8

It can be seen from Figure 8 that the speed of this methodis significantly faster than that of traditional data miningand with the increase in data collection the data miningspeed advantage of this method is more obvious Howeverthe traditional data mining methods cannot analyze big dataquickly which leads to a large amount of data backlog andcannot be processed in time which reduces the rate of datamining Based on the above experimental results it is notdifficult to find that compared with the traditional trainingmethods this method is more scientific and practical

4 Conclusion

Different tactical schools of volleyball are not invariableWith the continuous development of the project the changeof mature rules and the change in athletesrsquo physical con-ditions the tactical characteristics of teams in differentcountries are also changing +e continuous integration anddevelopment of various playing methods are the drivingforce for the current progress of volleyball As long as anyoneignores the research in this field he will lag behind thedevelopment of world volleyball and pay a heavy price Onlythrough continuous absorption and innovation can he standat the forefront of world volleyball Good strength quality ofvolleyball players is the basic condition for masteringtechnology and achieving excellent results but in strengthquality training we should not only pay attention to physicaltraining We should also pay attention to the combination ofskills and tactics and do not ignore flexibility and relaxationtraining so as to achieve the best effect of strength training

Data Availability

+e data used to support the findings of this study are in-cluded within the article

Conflicts of Interest

+e authors declare that they have no conflicts of interest

References

[1] S Liu D Liu K Muhammad and W Ding ldquoEffectivetemplate update mechanism in visual tracking with back-ground clutterrdquo Neurocomputing vol 458 pp 615ndash625 2021

[2] S Liu S Wang X Liu et al ldquoHuman memory updatestrategy a multi-layer template update mechanism for remotevisual monitoringrdquo IEEE Transactions on Multimedia vol 23pp 2188ndash2198 2021

[3] S Liu T He and J Dai ldquoA survey of crf algorithm basedknowledge extraction of elementary mathematics in chineserdquoMobile Networks amp Applications vol 6 pp 1ndash13 2021

[4] K Lian Jing S-y Fang and Y-F Zhou ldquoModel predictivecontrol of the fuel cell cathode system based on state quantityestimationrdquo Computer Simulation vol 37 no 07 pp 119ndash122 2020

[5] S Bardak T Bardak H Peker E Sozen and Y CcedilabukldquoPredicting effects of selected impregnation processes on the

observed bending strength of wood with use of data miningmodelsrdquo Bioresources vol 16 no 3 pp 4891ndash4904 2021

[6] M Y N Attari B Ejlaly H Heidarpour and A Ala ldquoAp-plication of data mining techniques for the investigation offactors affecting transportation enterprisesrdquo IEEE Transac-tions on Intelligent Transportation Systems vol 2021 pp 1ndash162021

[7] N Ioannis P Vasilis and D Sotiris ldquoBayesian models forprediction of the set-difference in volleyballrdquo IMA Journal ofManagement Mathematics vol 34 no 4 p 4 2021

[8] D Gupta J L Jensen and L D Abraham ldquoBiomechanics ofhang-time in volleyball spike jumpsrdquo Journal of Biomechanicsvol 121 no 4 Article ID 110380 2021

[9] A Umek and A Kos ldquoSensor system for augmented feedbackapplications in volleyballrdquo Procedia Computer Sciencevol 174 no 3 pp 369ndash374 2020

[10] B A Pang Z A Ji Z A Zhang et al ldquoCharacteristics ofaerobic resistance strength training with different load in-tensity based on acceleration sensorrdquo Procedia ComputerScience vol 187 no 4 pp 7ndash11 2021

[11] L Zwingmann M Hoppstock J-P Goldmann and P Wahlldquo+e effect of physical training modality on exercise perfor-mance with police-related personal protective equipmentrdquoApplied Ergonomics vol 93 Article ID 103371 2021

[12] R Chu X Chen S Tao and D Yang ldquoResearch on inversesimulation of physical training process based on wirelesssensor networkrdquo International Journal of Distributed SensorNetworks vol 16 no 4 Article ID 155014772091426 2020

[13] T A Prasanna K A Vidhya D Baskar K U Rani andS Joseph ldquoEffect OF yogic practices and physical exercisestraining ON flexibility OF urban BOYS athletessrdquo HighTechnology Letters vol 26 no 6 pp 40ndash44 2020

[14] M Wirth S Kohl S Gradl R Farlock D Roth andB M Eskofier ldquoAssessing visual exploratory activity of ath-letes in virtual reality using head motion characteristicsrdquoSensors vol 21 no 11 2021

[15] T D Saunders R K Le K M Breedlove D A Bradney andT G Bowman ldquoSex differences in mechanisms of headimpacts in collegiate soccer athletesrdquo Clinical Biomechanicsvol 74 no 3 pp 14ndash20 2020

[16] S Kodera T Kamiya T Miyazawa and A Hirata ldquoCorre-lation between estimated thermoregulatory responses andpacing in athletes duringmarathonrdquo IEEE Access vol 8 no 4pp 173079ndash173091 2020

[17] Y Wang ldquoReal-time collection method of athletesrsquo abnormaltraining data based on machine learningrdquoMobile InformationSystems vol 2021 no 3 11 pages Article ID 9938605 2021

[18] S Romagnoli A Sbrollini M Colaneri et al ldquoInitial in-vestigation of athletesrsquo electrocardiograms acquired bywearable sensors during the pre-exercise phaserdquo 8e OpenBiomedical Engineering Journal vol 15 no 1 pp 37ndash44 2021

[19] D Biagini T Lomonaco S Ghimenti et al ldquoSaliva as a non-invasive tool for monitoring oxidative stress in swimmersathletes performing a VO2max cycle ergometer testrdquo Talantavol 216 no 12 Article ID 120979 2020

[20] M Pontillo C M Butowicz D Ebaugh C A +igpenB Sennett and S P Silfies ldquoComparison of core neuro-muscular control and lower extremity postural stability inathletes with and without shoulder injuriesrdquo Clinical Bio-mechanics vol 71 no 7 pp 196ndash200 2020

[21] M Ghaderi A Letafatkar T G Almonroeder andS Keyhani ldquoNeuromuscular training improves knee pro-prioception in athletes with a history of anterior cruciate

10 Mathematical Problems in Engineering

ligament reconstruction a randomized controlled trialrdquoClinical Biomechanics vol 80 no 4 Article ID 1 2020

[22] C Reche M Viana B L van Drooge et al ldquoAthletesrsquo ex-posure to air pollution during World Athletics Relays a pilotstudyrdquo 8e Science of the Total Environment vol 717 no 4Article ID 137161 2020

[23] N Petrone G Costa G Foscan et al ldquoDevelopment ofinstrumented running prosthetic feet for the collection oftrack loads on elite athletesrdquo Sensors vol 20 no 20 2020

[24] R Moghdani K Salimifard E Demir and A BenyettouldquoMulti-objective volleyball premier league algorithmKnowledge-based systemsrdquo vol 196 no 4 Article ID 1057812020

[25] B Pang Z Ji Z Zhang et al ldquoStrength training characteristicsof different loads based on acceleration sensor and finiteelement simulationrdquo Sensors vol 21 no 2 2021

Mathematical Problems in Engineering 11

obtained from the expected information and entropy and itscalculation formula is

Gain(A) Pn minus kewn + E(A) (5)

+ere are many calculation methods of index weightsuch as eigenvector method and geometric average methodbut they all have their own disadvantages +e former is toocomplex and expensive while the latter is simple but thecalculation result is inaccurate [21] +erefore in this sec-tion the above two calculation methods are abandoned andthe arithmetic average method combining the above twoadvantages is used to calculate the index weight +earithmetic average method is described by the followingmathematical formula

f(x) 1n

minus Gain(A) 1113944n

j1

1M 1113936

ni1 xij1113872 1113873

ntimesn

(6)

Using this formula we can accurately calculate theweight value of each index in Table 1 and make full prep-arations for the subsequent physical fitness evaluation +eevaluation standard set of athletesrsquo physical fitness can beexpressed by the following set

M m1 m2 m3 m4 m51113864 1113865 (7)

where m is the set of evaluation criteria m1 is excellentm2 is good m3 is general m4 unqualified and m5 is thedifference +e information gain of each attribute is cal-culated and the attribute with the highest gain is selected asthe test attribute of the given set S as well as the corre-sponding branch node +ere is a lack of deeper data miningresearch and decision analysis for a big number of originaldata findings obtained in a sports scientific study and it ishard to identify what is concealed in the test data Althoughstatistical approaches have made significant contributions tosports science research their limits have been discoveredthroughout the application data analysis process leaving usunhappy in solving and analyzing vast amounts of real testdata [22] +e emergence of data mining technology pro-vides a scientific method for people to extract useful in-formation hidden between data from a large number of dataAccording to the relationship between force and timefunction f(x) isin [0 1) because f(x) is continuous in theinterval of 0 according to the boundedness theorem of acontinuous function on the closed interval f(x) has themaximum value on [0 1) because fprime(x)ge 0 fprime(x) ismonotonically increasing on [0 1) so themaximum value off(x) should be obtained at the right endpoint x t that is

f(n) f(t) minus 1

M f(x) minus fprime(x)1113858 11138592 (8)

Each variable conforms to the normal distribution +especial physical fitness of volleyball players refers to theability of volleyball players to bear the load required tocomplete the skills and tactics of volleyball and adapt to thechanges in the internal and external environment in specialtraining and competition It includes three aspects +ebodily type functional level and sporting quality of athletes

Body shape is the most fundamental and lowest degree ofphysical performance according to the level of analysis [23]+e functional level is the middle level of physical perfor-mance and its development level can be improved to adegree through systematic training Sports quality is thehighest level of physical performance and it is primarilyinfluenced by genetic factors and less so by training factorsthan other aspects Functional level is the middle level ofphysical performance and its development level can beimproved to a degree through systematic training Sportsquality is the highest level of physical performance Manyexperts characterize it as the restricted definition of physicalfitness It is the outward representation of an athletersquosphysical ability which is heavily influenced by trainingvariables

23 Progress Planning of Strength Quality Training of Vol-leyball Players Among the three classification structures ofvolleyball playersrsquo physical fitness sports quality is thecategory with the highest degree of training +e determi-nation of training content and the selection of methods andmeans should also focus on the improvement of sportsquality [24 25] +e physical function and body shape mustalso change with the change in sports quality +e specialquality of volleyball players mainly includes special basicquality and special compound quality +e strength speedendurance and flexibility needed by volleyball attack anddefense technical action are referred to as the specificfundamental quality Among these explosive quality is oneof them and explosive quality is separated into three cat-egories ballistics resilience and obligatory explosive powerSpecial composite quality refers to a variety of abilitiesneeded for volleyball attack and defense technical actionsand tactical transformations such as special strength speedbouncing ability sensitive coordination ability swing abilityand special endurance Flexibility and response time areexceptional Volleyballrsquos unique compound quality is madeup of two or more fundamental sports characteristicsAnalyzing the existing research results the main contents ofvolleyball playersrsquo physical training are shown in Figure 4

+e basic cycle training system is the most basic unit ofthe periodic training system According to different classi-fication standards excellent volleyball playersrsquo basic cycletraining system can be divided into functional characteristiccycle structural characteristic cycle content characteristiccycle and load characteristic cycle as shown in Figure 5+erefore the determination of the basic cycle trainingstandard should serve the stage training cycle system

Training methods and means are the premises for vol-leyball players to create excellent sports results Due to thediversity of the volleyball physical training content and thecharacteristics of mutual connection and hierarchy thediversity of training methods and means is determined +econstruction of volleyball physical training method system isto establish various physical training methods to meet theneeds of volleyball based on the content of physical training+e combination of these physical training methods con-stitutes the method system of volleyball playersrsquo physical

6 Mathematical Problems in Engineering

training In choosing training methods and means we shouldnot only take the training content as the main basis but alsoclosely combine it with the technical movements of volleyballOn the basis of strength speed endurance flexibility andsensitivity as general sports qualities we will focus on thedevelopment of exercise methods of mobile ability arm swingability jumping ability coordination ability and special ex-plosive power +e organic combination of these with variousexercise methods in sports training constitutes the methodsystem of special sports quality training for excellent volleyballplayers as shown in Figure 6

Volleyball playersrsquo periodic training systems are dividedinto four categories multiyear periodic training yearlyperiodic training stage periodic training and basic periodictraining Among these the multiyear cycle training

approach is mostly governed by the timing of major contestslike the Olympic Games which usually take place every fouryears +e training method splits the particular stage cycleaccording to the distinct competitive tasks using an annualtraining cycle +e first-order periodic training system ismade up of multiple fundamental cycles each of which has adistinct set of tasks and a variable length of time +e mostfundamental unit of the periodic training system is the basicperiodic training system which is formed based on severalspecialized activities +e current development trend ofcompetitive sports makes several competitive peaks appearin a large training cycle so the scientific planning and designof the training cycle are very important for excellent athletesOf course it is unrealistic to require athletes to deal withmany competitive peaks every year so the number of

Basic cycletraining system

Functionalfeatures

structurecharacteristics

Loadcharacteristics

Recoveryweek

Improveweek Keep week

Competitionweek

Pure physicalfitness week

Sports andtechnologyintegration

week

CombinationWeek of

sports and war

Contentfeatures

Basic physicalfitness week

Special fitnessweek

Heavy loadcycle

Impulse loadcycle

Low loadweek

Figure 5 Classification of basic cycle training system of volleyball players

Volley ballplayersphysicalfitness

Sports quality

Soul quality

BouncingqualitySpecial

flexibilitySpecial

endurance

Special speed

Special force

Body shape

Physicalfunction

Energy metabolismsystem

Nerve conductionsystem

Skeletal muscle system

Figure 4 Basic composition of volleyball playersrsquo sports theoretical quality

Mathematical Problems in Engineering 7

competitive peaks should be determined according to theneeds of sports teams and athletes

3 Analysis of Experimental Results

T-test was performed on the measured data using thecommonly used sports statistics (XS) method to test thesignificance of the experimental effect+e data processing iscompleted on the Casio FX-3800P calculator Based on the

above data the experimental group is further divided intothe control group for comparative detection According tothe experimental design the experimental group and thecontrol group are taught and the teaching effect is com-pared +e control group is taught with the traditionalteaching method and the original progress Before the end ofeach operation class the experimental group took15minutes to arrange strength quality training in a targetedand step-by-step manner in combination with technical

Competitiontraining method

Power Locomotivity Serve

Speed Arm swing abilitySpiking

Endurance Bounce Ability

Block

Pliable Special explosive force

Cushion

Sensitive Coordination ability Defense

pass the ball

Circular trainingmethod

Transformationtraining method

Continuoustraining method

Intermittenttraining method

Decompositiontraining method

Complete trainingmethod

Repetitive trainingmethod

Figure 6 Construction of special physical fitness training method for volleyball players

Table 8 Content design of classroom strength quality training

Textbookcontent Develop the main group muscle Practice method Practice

timePracticeintensity

Pass the ball Flexor digitorum flexor carpimuscle

Lifting and grasping shot put or sandbag fingerstanding and lying support etc

20minutes Maximum 65sim80

Cushion Arm and leg muscles Jib flexion and extension triangular movement etc

Serve Shoulder girdle muscle trunkmuscle +row a solid ball with one or both hands etc

Spiking Wrist flexor shoulder girdle trunkand leg muscles

Run up take-off throw a softball multi-level jumpetc

Table 9 Comparison of physical fitness of athletes in each group before and after the experiment

50M (s) 800M (s) Standing long jump(CM) Shot put (CM) Sit ups (times

minute)

Preliminary test ofexperiment

Experimentalclass 925plusmn 352 25665plusmn 1252 16761plusmn 1075 45506plusmn 795 2461plusmn 1432

Control class 929plusmn 348 24912plusmn 1165 16352plusmn 1252 45626plusmn 965 2675plusmn 1425Mean difference minus06 minus371 331 minus429 minus125

P gt005 gt005 gt005 gt005 gt005

End of experiment

Experimentalclass 833plusmn 125 22832plusmn 1152 18632plusmn 962 53512plusmn 865 3575plusmn 485

Control class 923plusmn 265 23865plusmn 1311 17765plusmn 1002 50832plusmn 1078 3083plusmn 335Mean difference minus098 minus1198 895 2815 495

P lt03 lt005 lt005 lt002 lt002

8 Mathematical Problems in Engineering

movements and practice structure +e design mode ofclassroom strength quality training is shown in Table 8

Table 9 shows the comparison of physical fitness ofathletes in each group before and after the experiment

Table 10 shows the comparison of physical fitness ofathletes in each group before and after the experiment

It can be seen from the values in Table 10 that thephysical fitness indexes of the experimental group afterpractice are significantly higher than those before the ex-periment and the difference is very significant It can be seenthat the plasticity of athletesrsquo physical quality is greatVolleyball technology has high requirements for strengthquality thus purposeful and targeted strengthening strengthquality training may help athletes enhance their entirephysical quality Serving for example needs shoulder girdleand trunk muscular strength passing necessitates flexorfingers and wrist muscle strength and spiking necessitateswrist flexor muscles shoulder girdle muscles trunk musclesand various leg muscle groups Strengthening strong qualitytraining may help athletes develop other physical charac-teristics but when athletes feel successful it can boost theirlearning excitement and help them avoid the weariness thatcomes with quality exercise Learning sports technology isbuilt on a foundation of good physical health +e results inthe table show that the physical attributes of the two groupsof athletes improved after the experiment +e developmentof quality indicators in the experimental group is signifi-cantly better than that in the control group and the

difference between the two groups has reached a significantdifference and the two items of shot put and sit-ups havereached a very significant difference +e control group alsoimproved but the improvement range was not as large asthat of the experimental group According to the relation-ship between force measurement and time the musclestrength test process is limited to a specific force and timeframe and the FT curve method is used to describe orexplain the variation characteristics of muscle strength +eresults are shown in Figure 7

Table 10 Comparison of self data mean of the experimental group before and after the experiment

Group items Before experiment After test Mean difference P

50M (s) 925plusmn 365 833plusmn 115 092 gt006800M (s) 24565plusmn 1325 22739plusmn 1220 1895 lt001Standing long jump (CM) 16732plusmn 1171 18565plusmn 962 1965 lt001Shot put (CM)) 45603plusmn 785 53512plusmn 867 -8008 lt001Sit ups (timesminute) 2552plusmn 1365 3579 -1226 lt001

Forc

e

Fmax

Time X(time)

50ms

Y=f(x)

t

STK

(a)

Forc

e

Y+F(x)

t2t1

(b)

Figure 7 FT curve of muscle strength after volleyball player strength training

0

Physical strength

30

60

Traditional methodPaper method

90

30 60 90

Trai

ning

pro

gres

s

Figure 8 Comparison of training effects of two methods

Mathematical Problems in Engineering 9

According to the time spent on the data miningmethods draw the running rate of the two methods for datamining and the results are shown in Figure 8

It can be seen from Figure 8 that the speed of this methodis significantly faster than that of traditional data miningand with the increase in data collection the data miningspeed advantage of this method is more obvious Howeverthe traditional data mining methods cannot analyze big dataquickly which leads to a large amount of data backlog andcannot be processed in time which reduces the rate of datamining Based on the above experimental results it is notdifficult to find that compared with the traditional trainingmethods this method is more scientific and practical

4 Conclusion

Different tactical schools of volleyball are not invariableWith the continuous development of the project the changeof mature rules and the change in athletesrsquo physical con-ditions the tactical characteristics of teams in differentcountries are also changing +e continuous integration anddevelopment of various playing methods are the drivingforce for the current progress of volleyball As long as anyoneignores the research in this field he will lag behind thedevelopment of world volleyball and pay a heavy price Onlythrough continuous absorption and innovation can he standat the forefront of world volleyball Good strength quality ofvolleyball players is the basic condition for masteringtechnology and achieving excellent results but in strengthquality training we should not only pay attention to physicaltraining We should also pay attention to the combination ofskills and tactics and do not ignore flexibility and relaxationtraining so as to achieve the best effect of strength training

Data Availability

+e data used to support the findings of this study are in-cluded within the article

Conflicts of Interest

+e authors declare that they have no conflicts of interest

References

[1] S Liu D Liu K Muhammad and W Ding ldquoEffectivetemplate update mechanism in visual tracking with back-ground clutterrdquo Neurocomputing vol 458 pp 615ndash625 2021

[2] S Liu S Wang X Liu et al ldquoHuman memory updatestrategy a multi-layer template update mechanism for remotevisual monitoringrdquo IEEE Transactions on Multimedia vol 23pp 2188ndash2198 2021

[3] S Liu T He and J Dai ldquoA survey of crf algorithm basedknowledge extraction of elementary mathematics in chineserdquoMobile Networks amp Applications vol 6 pp 1ndash13 2021

[4] K Lian Jing S-y Fang and Y-F Zhou ldquoModel predictivecontrol of the fuel cell cathode system based on state quantityestimationrdquo Computer Simulation vol 37 no 07 pp 119ndash122 2020

[5] S Bardak T Bardak H Peker E Sozen and Y CcedilabukldquoPredicting effects of selected impregnation processes on the

observed bending strength of wood with use of data miningmodelsrdquo Bioresources vol 16 no 3 pp 4891ndash4904 2021

[6] M Y N Attari B Ejlaly H Heidarpour and A Ala ldquoAp-plication of data mining techniques for the investigation offactors affecting transportation enterprisesrdquo IEEE Transac-tions on Intelligent Transportation Systems vol 2021 pp 1ndash162021

[7] N Ioannis P Vasilis and D Sotiris ldquoBayesian models forprediction of the set-difference in volleyballrdquo IMA Journal ofManagement Mathematics vol 34 no 4 p 4 2021

[8] D Gupta J L Jensen and L D Abraham ldquoBiomechanics ofhang-time in volleyball spike jumpsrdquo Journal of Biomechanicsvol 121 no 4 Article ID 110380 2021

[9] A Umek and A Kos ldquoSensor system for augmented feedbackapplications in volleyballrdquo Procedia Computer Sciencevol 174 no 3 pp 369ndash374 2020

[10] B A Pang Z A Ji Z A Zhang et al ldquoCharacteristics ofaerobic resistance strength training with different load in-tensity based on acceleration sensorrdquo Procedia ComputerScience vol 187 no 4 pp 7ndash11 2021

[11] L Zwingmann M Hoppstock J-P Goldmann and P Wahlldquo+e effect of physical training modality on exercise perfor-mance with police-related personal protective equipmentrdquoApplied Ergonomics vol 93 Article ID 103371 2021

[12] R Chu X Chen S Tao and D Yang ldquoResearch on inversesimulation of physical training process based on wirelesssensor networkrdquo International Journal of Distributed SensorNetworks vol 16 no 4 Article ID 155014772091426 2020

[13] T A Prasanna K A Vidhya D Baskar K U Rani andS Joseph ldquoEffect OF yogic practices and physical exercisestraining ON flexibility OF urban BOYS athletessrdquo HighTechnology Letters vol 26 no 6 pp 40ndash44 2020

[14] M Wirth S Kohl S Gradl R Farlock D Roth andB M Eskofier ldquoAssessing visual exploratory activity of ath-letes in virtual reality using head motion characteristicsrdquoSensors vol 21 no 11 2021

[15] T D Saunders R K Le K M Breedlove D A Bradney andT G Bowman ldquoSex differences in mechanisms of headimpacts in collegiate soccer athletesrdquo Clinical Biomechanicsvol 74 no 3 pp 14ndash20 2020

[16] S Kodera T Kamiya T Miyazawa and A Hirata ldquoCorre-lation between estimated thermoregulatory responses andpacing in athletes duringmarathonrdquo IEEE Access vol 8 no 4pp 173079ndash173091 2020

[17] Y Wang ldquoReal-time collection method of athletesrsquo abnormaltraining data based on machine learningrdquoMobile InformationSystems vol 2021 no 3 11 pages Article ID 9938605 2021

[18] S Romagnoli A Sbrollini M Colaneri et al ldquoInitial in-vestigation of athletesrsquo electrocardiograms acquired bywearable sensors during the pre-exercise phaserdquo 8e OpenBiomedical Engineering Journal vol 15 no 1 pp 37ndash44 2021

[19] D Biagini T Lomonaco S Ghimenti et al ldquoSaliva as a non-invasive tool for monitoring oxidative stress in swimmersathletes performing a VO2max cycle ergometer testrdquo Talantavol 216 no 12 Article ID 120979 2020

[20] M Pontillo C M Butowicz D Ebaugh C A +igpenB Sennett and S P Silfies ldquoComparison of core neuro-muscular control and lower extremity postural stability inathletes with and without shoulder injuriesrdquo Clinical Bio-mechanics vol 71 no 7 pp 196ndash200 2020

[21] M Ghaderi A Letafatkar T G Almonroeder andS Keyhani ldquoNeuromuscular training improves knee pro-prioception in athletes with a history of anterior cruciate

10 Mathematical Problems in Engineering

ligament reconstruction a randomized controlled trialrdquoClinical Biomechanics vol 80 no 4 Article ID 1 2020

[22] C Reche M Viana B L van Drooge et al ldquoAthletesrsquo ex-posure to air pollution during World Athletics Relays a pilotstudyrdquo 8e Science of the Total Environment vol 717 no 4Article ID 137161 2020

[23] N Petrone G Costa G Foscan et al ldquoDevelopment ofinstrumented running prosthetic feet for the collection oftrack loads on elite athletesrdquo Sensors vol 20 no 20 2020

[24] R Moghdani K Salimifard E Demir and A BenyettouldquoMulti-objective volleyball premier league algorithmKnowledge-based systemsrdquo vol 196 no 4 Article ID 1057812020

[25] B Pang Z Ji Z Zhang et al ldquoStrength training characteristicsof different loads based on acceleration sensor and finiteelement simulationrdquo Sensors vol 21 no 2 2021

Mathematical Problems in Engineering 11

training In choosing training methods and means we shouldnot only take the training content as the main basis but alsoclosely combine it with the technical movements of volleyballOn the basis of strength speed endurance flexibility andsensitivity as general sports qualities we will focus on thedevelopment of exercise methods of mobile ability arm swingability jumping ability coordination ability and special ex-plosive power +e organic combination of these with variousexercise methods in sports training constitutes the methodsystem of special sports quality training for excellent volleyballplayers as shown in Figure 6

Volleyball playersrsquo periodic training systems are dividedinto four categories multiyear periodic training yearlyperiodic training stage periodic training and basic periodictraining Among these the multiyear cycle training

approach is mostly governed by the timing of major contestslike the Olympic Games which usually take place every fouryears +e training method splits the particular stage cycleaccording to the distinct competitive tasks using an annualtraining cycle +e first-order periodic training system ismade up of multiple fundamental cycles each of which has adistinct set of tasks and a variable length of time +e mostfundamental unit of the periodic training system is the basicperiodic training system which is formed based on severalspecialized activities +e current development trend ofcompetitive sports makes several competitive peaks appearin a large training cycle so the scientific planning and designof the training cycle are very important for excellent athletesOf course it is unrealistic to require athletes to deal withmany competitive peaks every year so the number of

Basic cycletraining system

Functionalfeatures

structurecharacteristics

Loadcharacteristics

Recoveryweek

Improveweek Keep week

Competitionweek

Pure physicalfitness week

Sports andtechnologyintegration

week

CombinationWeek of

sports and war

Contentfeatures

Basic physicalfitness week

Special fitnessweek

Heavy loadcycle

Impulse loadcycle

Low loadweek

Figure 5 Classification of basic cycle training system of volleyball players

Volley ballplayersphysicalfitness

Sports quality

Soul quality

BouncingqualitySpecial

flexibilitySpecial

endurance

Special speed

Special force

Body shape

Physicalfunction

Energy metabolismsystem

Nerve conductionsystem

Skeletal muscle system

Figure 4 Basic composition of volleyball playersrsquo sports theoretical quality

Mathematical Problems in Engineering 7

competitive peaks should be determined according to theneeds of sports teams and athletes

3 Analysis of Experimental Results

T-test was performed on the measured data using thecommonly used sports statistics (XS) method to test thesignificance of the experimental effect+e data processing iscompleted on the Casio FX-3800P calculator Based on the

above data the experimental group is further divided intothe control group for comparative detection According tothe experimental design the experimental group and thecontrol group are taught and the teaching effect is com-pared +e control group is taught with the traditionalteaching method and the original progress Before the end ofeach operation class the experimental group took15minutes to arrange strength quality training in a targetedand step-by-step manner in combination with technical

Competitiontraining method

Power Locomotivity Serve

Speed Arm swing abilitySpiking

Endurance Bounce Ability

Block

Pliable Special explosive force

Cushion

Sensitive Coordination ability Defense

pass the ball

Circular trainingmethod

Transformationtraining method

Continuoustraining method

Intermittenttraining method

Decompositiontraining method

Complete trainingmethod

Repetitive trainingmethod

Figure 6 Construction of special physical fitness training method for volleyball players

Table 8 Content design of classroom strength quality training

Textbookcontent Develop the main group muscle Practice method Practice

timePracticeintensity

Pass the ball Flexor digitorum flexor carpimuscle

Lifting and grasping shot put or sandbag fingerstanding and lying support etc

20minutes Maximum 65sim80

Cushion Arm and leg muscles Jib flexion and extension triangular movement etc

Serve Shoulder girdle muscle trunkmuscle +row a solid ball with one or both hands etc

Spiking Wrist flexor shoulder girdle trunkand leg muscles

Run up take-off throw a softball multi-level jumpetc

Table 9 Comparison of physical fitness of athletes in each group before and after the experiment

50M (s) 800M (s) Standing long jump(CM) Shot put (CM) Sit ups (times

minute)

Preliminary test ofexperiment

Experimentalclass 925plusmn 352 25665plusmn 1252 16761plusmn 1075 45506plusmn 795 2461plusmn 1432

Control class 929plusmn 348 24912plusmn 1165 16352plusmn 1252 45626plusmn 965 2675plusmn 1425Mean difference minus06 minus371 331 minus429 minus125

P gt005 gt005 gt005 gt005 gt005

End of experiment

Experimentalclass 833plusmn 125 22832plusmn 1152 18632plusmn 962 53512plusmn 865 3575plusmn 485

Control class 923plusmn 265 23865plusmn 1311 17765plusmn 1002 50832plusmn 1078 3083plusmn 335Mean difference minus098 minus1198 895 2815 495

P lt03 lt005 lt005 lt002 lt002

8 Mathematical Problems in Engineering

movements and practice structure +e design mode ofclassroom strength quality training is shown in Table 8

Table 9 shows the comparison of physical fitness ofathletes in each group before and after the experiment

Table 10 shows the comparison of physical fitness ofathletes in each group before and after the experiment

It can be seen from the values in Table 10 that thephysical fitness indexes of the experimental group afterpractice are significantly higher than those before the ex-periment and the difference is very significant It can be seenthat the plasticity of athletesrsquo physical quality is greatVolleyball technology has high requirements for strengthquality thus purposeful and targeted strengthening strengthquality training may help athletes enhance their entirephysical quality Serving for example needs shoulder girdleand trunk muscular strength passing necessitates flexorfingers and wrist muscle strength and spiking necessitateswrist flexor muscles shoulder girdle muscles trunk musclesand various leg muscle groups Strengthening strong qualitytraining may help athletes develop other physical charac-teristics but when athletes feel successful it can boost theirlearning excitement and help them avoid the weariness thatcomes with quality exercise Learning sports technology isbuilt on a foundation of good physical health +e results inthe table show that the physical attributes of the two groupsof athletes improved after the experiment +e developmentof quality indicators in the experimental group is signifi-cantly better than that in the control group and the

difference between the two groups has reached a significantdifference and the two items of shot put and sit-ups havereached a very significant difference +e control group alsoimproved but the improvement range was not as large asthat of the experimental group According to the relation-ship between force measurement and time the musclestrength test process is limited to a specific force and timeframe and the FT curve method is used to describe orexplain the variation characteristics of muscle strength +eresults are shown in Figure 7

Table 10 Comparison of self data mean of the experimental group before and after the experiment

Group items Before experiment After test Mean difference P

50M (s) 925plusmn 365 833plusmn 115 092 gt006800M (s) 24565plusmn 1325 22739plusmn 1220 1895 lt001Standing long jump (CM) 16732plusmn 1171 18565plusmn 962 1965 lt001Shot put (CM)) 45603plusmn 785 53512plusmn 867 -8008 lt001Sit ups (timesminute) 2552plusmn 1365 3579 -1226 lt001

Forc

e

Fmax

Time X(time)

50ms

Y=f(x)

t

STK

(a)

Forc

e

Y+F(x)

t2t1

(b)

Figure 7 FT curve of muscle strength after volleyball player strength training

0

Physical strength

30

60

Traditional methodPaper method

90

30 60 90

Trai

ning

pro

gres

s

Figure 8 Comparison of training effects of two methods

Mathematical Problems in Engineering 9

According to the time spent on the data miningmethods draw the running rate of the two methods for datamining and the results are shown in Figure 8

It can be seen from Figure 8 that the speed of this methodis significantly faster than that of traditional data miningand with the increase in data collection the data miningspeed advantage of this method is more obvious Howeverthe traditional data mining methods cannot analyze big dataquickly which leads to a large amount of data backlog andcannot be processed in time which reduces the rate of datamining Based on the above experimental results it is notdifficult to find that compared with the traditional trainingmethods this method is more scientific and practical

4 Conclusion

Different tactical schools of volleyball are not invariableWith the continuous development of the project the changeof mature rules and the change in athletesrsquo physical con-ditions the tactical characteristics of teams in differentcountries are also changing +e continuous integration anddevelopment of various playing methods are the drivingforce for the current progress of volleyball As long as anyoneignores the research in this field he will lag behind thedevelopment of world volleyball and pay a heavy price Onlythrough continuous absorption and innovation can he standat the forefront of world volleyball Good strength quality ofvolleyball players is the basic condition for masteringtechnology and achieving excellent results but in strengthquality training we should not only pay attention to physicaltraining We should also pay attention to the combination ofskills and tactics and do not ignore flexibility and relaxationtraining so as to achieve the best effect of strength training

Data Availability

+e data used to support the findings of this study are in-cluded within the article

Conflicts of Interest

+e authors declare that they have no conflicts of interest

References

[1] S Liu D Liu K Muhammad and W Ding ldquoEffectivetemplate update mechanism in visual tracking with back-ground clutterrdquo Neurocomputing vol 458 pp 615ndash625 2021

[2] S Liu S Wang X Liu et al ldquoHuman memory updatestrategy a multi-layer template update mechanism for remotevisual monitoringrdquo IEEE Transactions on Multimedia vol 23pp 2188ndash2198 2021

[3] S Liu T He and J Dai ldquoA survey of crf algorithm basedknowledge extraction of elementary mathematics in chineserdquoMobile Networks amp Applications vol 6 pp 1ndash13 2021

[4] K Lian Jing S-y Fang and Y-F Zhou ldquoModel predictivecontrol of the fuel cell cathode system based on state quantityestimationrdquo Computer Simulation vol 37 no 07 pp 119ndash122 2020

[5] S Bardak T Bardak H Peker E Sozen and Y CcedilabukldquoPredicting effects of selected impregnation processes on the

observed bending strength of wood with use of data miningmodelsrdquo Bioresources vol 16 no 3 pp 4891ndash4904 2021

[6] M Y N Attari B Ejlaly H Heidarpour and A Ala ldquoAp-plication of data mining techniques for the investigation offactors affecting transportation enterprisesrdquo IEEE Transac-tions on Intelligent Transportation Systems vol 2021 pp 1ndash162021

[7] N Ioannis P Vasilis and D Sotiris ldquoBayesian models forprediction of the set-difference in volleyballrdquo IMA Journal ofManagement Mathematics vol 34 no 4 p 4 2021

[8] D Gupta J L Jensen and L D Abraham ldquoBiomechanics ofhang-time in volleyball spike jumpsrdquo Journal of Biomechanicsvol 121 no 4 Article ID 110380 2021

[9] A Umek and A Kos ldquoSensor system for augmented feedbackapplications in volleyballrdquo Procedia Computer Sciencevol 174 no 3 pp 369ndash374 2020

[10] B A Pang Z A Ji Z A Zhang et al ldquoCharacteristics ofaerobic resistance strength training with different load in-tensity based on acceleration sensorrdquo Procedia ComputerScience vol 187 no 4 pp 7ndash11 2021

[11] L Zwingmann M Hoppstock J-P Goldmann and P Wahlldquo+e effect of physical training modality on exercise perfor-mance with police-related personal protective equipmentrdquoApplied Ergonomics vol 93 Article ID 103371 2021

[12] R Chu X Chen S Tao and D Yang ldquoResearch on inversesimulation of physical training process based on wirelesssensor networkrdquo International Journal of Distributed SensorNetworks vol 16 no 4 Article ID 155014772091426 2020

[13] T A Prasanna K A Vidhya D Baskar K U Rani andS Joseph ldquoEffect OF yogic practices and physical exercisestraining ON flexibility OF urban BOYS athletessrdquo HighTechnology Letters vol 26 no 6 pp 40ndash44 2020

[14] M Wirth S Kohl S Gradl R Farlock D Roth andB M Eskofier ldquoAssessing visual exploratory activity of ath-letes in virtual reality using head motion characteristicsrdquoSensors vol 21 no 11 2021

[15] T D Saunders R K Le K M Breedlove D A Bradney andT G Bowman ldquoSex differences in mechanisms of headimpacts in collegiate soccer athletesrdquo Clinical Biomechanicsvol 74 no 3 pp 14ndash20 2020

[16] S Kodera T Kamiya T Miyazawa and A Hirata ldquoCorre-lation between estimated thermoregulatory responses andpacing in athletes duringmarathonrdquo IEEE Access vol 8 no 4pp 173079ndash173091 2020

[17] Y Wang ldquoReal-time collection method of athletesrsquo abnormaltraining data based on machine learningrdquoMobile InformationSystems vol 2021 no 3 11 pages Article ID 9938605 2021

[18] S Romagnoli A Sbrollini M Colaneri et al ldquoInitial in-vestigation of athletesrsquo electrocardiograms acquired bywearable sensors during the pre-exercise phaserdquo 8e OpenBiomedical Engineering Journal vol 15 no 1 pp 37ndash44 2021

[19] D Biagini T Lomonaco S Ghimenti et al ldquoSaliva as a non-invasive tool for monitoring oxidative stress in swimmersathletes performing a VO2max cycle ergometer testrdquo Talantavol 216 no 12 Article ID 120979 2020

[20] M Pontillo C M Butowicz D Ebaugh C A +igpenB Sennett and S P Silfies ldquoComparison of core neuro-muscular control and lower extremity postural stability inathletes with and without shoulder injuriesrdquo Clinical Bio-mechanics vol 71 no 7 pp 196ndash200 2020

[21] M Ghaderi A Letafatkar T G Almonroeder andS Keyhani ldquoNeuromuscular training improves knee pro-prioception in athletes with a history of anterior cruciate

10 Mathematical Problems in Engineering

ligament reconstruction a randomized controlled trialrdquoClinical Biomechanics vol 80 no 4 Article ID 1 2020

[22] C Reche M Viana B L van Drooge et al ldquoAthletesrsquo ex-posure to air pollution during World Athletics Relays a pilotstudyrdquo 8e Science of the Total Environment vol 717 no 4Article ID 137161 2020

[23] N Petrone G Costa G Foscan et al ldquoDevelopment ofinstrumented running prosthetic feet for the collection oftrack loads on elite athletesrdquo Sensors vol 20 no 20 2020

[24] R Moghdani K Salimifard E Demir and A BenyettouldquoMulti-objective volleyball premier league algorithmKnowledge-based systemsrdquo vol 196 no 4 Article ID 1057812020

[25] B Pang Z Ji Z Zhang et al ldquoStrength training characteristicsof different loads based on acceleration sensor and finiteelement simulationrdquo Sensors vol 21 no 2 2021

Mathematical Problems in Engineering 11

competitive peaks should be determined according to theneeds of sports teams and athletes

3 Analysis of Experimental Results

T-test was performed on the measured data using thecommonly used sports statistics (XS) method to test thesignificance of the experimental effect+e data processing iscompleted on the Casio FX-3800P calculator Based on the

above data the experimental group is further divided intothe control group for comparative detection According tothe experimental design the experimental group and thecontrol group are taught and the teaching effect is com-pared +e control group is taught with the traditionalteaching method and the original progress Before the end ofeach operation class the experimental group took15minutes to arrange strength quality training in a targetedand step-by-step manner in combination with technical

Competitiontraining method

Power Locomotivity Serve

Speed Arm swing abilitySpiking

Endurance Bounce Ability

Block

Pliable Special explosive force

Cushion

Sensitive Coordination ability Defense

pass the ball

Circular trainingmethod

Transformationtraining method

Continuoustraining method

Intermittenttraining method

Decompositiontraining method

Complete trainingmethod

Repetitive trainingmethod

Figure 6 Construction of special physical fitness training method for volleyball players

Table 8 Content design of classroom strength quality training

Textbookcontent Develop the main group muscle Practice method Practice

timePracticeintensity

Pass the ball Flexor digitorum flexor carpimuscle

Lifting and grasping shot put or sandbag fingerstanding and lying support etc

20minutes Maximum 65sim80

Cushion Arm and leg muscles Jib flexion and extension triangular movement etc

Serve Shoulder girdle muscle trunkmuscle +row a solid ball with one or both hands etc

Spiking Wrist flexor shoulder girdle trunkand leg muscles

Run up take-off throw a softball multi-level jumpetc

Table 9 Comparison of physical fitness of athletes in each group before and after the experiment

50M (s) 800M (s) Standing long jump(CM) Shot put (CM) Sit ups (times

minute)

Preliminary test ofexperiment

Experimentalclass 925plusmn 352 25665plusmn 1252 16761plusmn 1075 45506plusmn 795 2461plusmn 1432

Control class 929plusmn 348 24912plusmn 1165 16352plusmn 1252 45626plusmn 965 2675plusmn 1425Mean difference minus06 minus371 331 minus429 minus125

P gt005 gt005 gt005 gt005 gt005

End of experiment

Experimentalclass 833plusmn 125 22832plusmn 1152 18632plusmn 962 53512plusmn 865 3575plusmn 485

Control class 923plusmn 265 23865plusmn 1311 17765plusmn 1002 50832plusmn 1078 3083plusmn 335Mean difference minus098 minus1198 895 2815 495

P lt03 lt005 lt005 lt002 lt002

8 Mathematical Problems in Engineering

movements and practice structure +e design mode ofclassroom strength quality training is shown in Table 8

Table 9 shows the comparison of physical fitness ofathletes in each group before and after the experiment

Table 10 shows the comparison of physical fitness ofathletes in each group before and after the experiment

It can be seen from the values in Table 10 that thephysical fitness indexes of the experimental group afterpractice are significantly higher than those before the ex-periment and the difference is very significant It can be seenthat the plasticity of athletesrsquo physical quality is greatVolleyball technology has high requirements for strengthquality thus purposeful and targeted strengthening strengthquality training may help athletes enhance their entirephysical quality Serving for example needs shoulder girdleand trunk muscular strength passing necessitates flexorfingers and wrist muscle strength and spiking necessitateswrist flexor muscles shoulder girdle muscles trunk musclesand various leg muscle groups Strengthening strong qualitytraining may help athletes develop other physical charac-teristics but when athletes feel successful it can boost theirlearning excitement and help them avoid the weariness thatcomes with quality exercise Learning sports technology isbuilt on a foundation of good physical health +e results inthe table show that the physical attributes of the two groupsof athletes improved after the experiment +e developmentof quality indicators in the experimental group is signifi-cantly better than that in the control group and the

difference between the two groups has reached a significantdifference and the two items of shot put and sit-ups havereached a very significant difference +e control group alsoimproved but the improvement range was not as large asthat of the experimental group According to the relation-ship between force measurement and time the musclestrength test process is limited to a specific force and timeframe and the FT curve method is used to describe orexplain the variation characteristics of muscle strength +eresults are shown in Figure 7

Table 10 Comparison of self data mean of the experimental group before and after the experiment

Group items Before experiment After test Mean difference P

50M (s) 925plusmn 365 833plusmn 115 092 gt006800M (s) 24565plusmn 1325 22739plusmn 1220 1895 lt001Standing long jump (CM) 16732plusmn 1171 18565plusmn 962 1965 lt001Shot put (CM)) 45603plusmn 785 53512plusmn 867 -8008 lt001Sit ups (timesminute) 2552plusmn 1365 3579 -1226 lt001

Forc

e

Fmax

Time X(time)

50ms

Y=f(x)

t

STK

(a)

Forc

e

Y+F(x)

t2t1

(b)

Figure 7 FT curve of muscle strength after volleyball player strength training

0

Physical strength

30

60

Traditional methodPaper method

90

30 60 90

Trai

ning

pro

gres

s

Figure 8 Comparison of training effects of two methods

Mathematical Problems in Engineering 9

According to the time spent on the data miningmethods draw the running rate of the two methods for datamining and the results are shown in Figure 8

It can be seen from Figure 8 that the speed of this methodis significantly faster than that of traditional data miningand with the increase in data collection the data miningspeed advantage of this method is more obvious Howeverthe traditional data mining methods cannot analyze big dataquickly which leads to a large amount of data backlog andcannot be processed in time which reduces the rate of datamining Based on the above experimental results it is notdifficult to find that compared with the traditional trainingmethods this method is more scientific and practical

4 Conclusion

Different tactical schools of volleyball are not invariableWith the continuous development of the project the changeof mature rules and the change in athletesrsquo physical con-ditions the tactical characteristics of teams in differentcountries are also changing +e continuous integration anddevelopment of various playing methods are the drivingforce for the current progress of volleyball As long as anyoneignores the research in this field he will lag behind thedevelopment of world volleyball and pay a heavy price Onlythrough continuous absorption and innovation can he standat the forefront of world volleyball Good strength quality ofvolleyball players is the basic condition for masteringtechnology and achieving excellent results but in strengthquality training we should not only pay attention to physicaltraining We should also pay attention to the combination ofskills and tactics and do not ignore flexibility and relaxationtraining so as to achieve the best effect of strength training

Data Availability

+e data used to support the findings of this study are in-cluded within the article

Conflicts of Interest

+e authors declare that they have no conflicts of interest

References

[1] S Liu D Liu K Muhammad and W Ding ldquoEffectivetemplate update mechanism in visual tracking with back-ground clutterrdquo Neurocomputing vol 458 pp 615ndash625 2021

[2] S Liu S Wang X Liu et al ldquoHuman memory updatestrategy a multi-layer template update mechanism for remotevisual monitoringrdquo IEEE Transactions on Multimedia vol 23pp 2188ndash2198 2021

[3] S Liu T He and J Dai ldquoA survey of crf algorithm basedknowledge extraction of elementary mathematics in chineserdquoMobile Networks amp Applications vol 6 pp 1ndash13 2021

[4] K Lian Jing S-y Fang and Y-F Zhou ldquoModel predictivecontrol of the fuel cell cathode system based on state quantityestimationrdquo Computer Simulation vol 37 no 07 pp 119ndash122 2020

[5] S Bardak T Bardak H Peker E Sozen and Y CcedilabukldquoPredicting effects of selected impregnation processes on the

observed bending strength of wood with use of data miningmodelsrdquo Bioresources vol 16 no 3 pp 4891ndash4904 2021

[6] M Y N Attari B Ejlaly H Heidarpour and A Ala ldquoAp-plication of data mining techniques for the investigation offactors affecting transportation enterprisesrdquo IEEE Transac-tions on Intelligent Transportation Systems vol 2021 pp 1ndash162021

[7] N Ioannis P Vasilis and D Sotiris ldquoBayesian models forprediction of the set-difference in volleyballrdquo IMA Journal ofManagement Mathematics vol 34 no 4 p 4 2021

[8] D Gupta J L Jensen and L D Abraham ldquoBiomechanics ofhang-time in volleyball spike jumpsrdquo Journal of Biomechanicsvol 121 no 4 Article ID 110380 2021

[9] A Umek and A Kos ldquoSensor system for augmented feedbackapplications in volleyballrdquo Procedia Computer Sciencevol 174 no 3 pp 369ndash374 2020

[10] B A Pang Z A Ji Z A Zhang et al ldquoCharacteristics ofaerobic resistance strength training with different load in-tensity based on acceleration sensorrdquo Procedia ComputerScience vol 187 no 4 pp 7ndash11 2021

[11] L Zwingmann M Hoppstock J-P Goldmann and P Wahlldquo+e effect of physical training modality on exercise perfor-mance with police-related personal protective equipmentrdquoApplied Ergonomics vol 93 Article ID 103371 2021

[12] R Chu X Chen S Tao and D Yang ldquoResearch on inversesimulation of physical training process based on wirelesssensor networkrdquo International Journal of Distributed SensorNetworks vol 16 no 4 Article ID 155014772091426 2020

[13] T A Prasanna K A Vidhya D Baskar K U Rani andS Joseph ldquoEffect OF yogic practices and physical exercisestraining ON flexibility OF urban BOYS athletessrdquo HighTechnology Letters vol 26 no 6 pp 40ndash44 2020

[14] M Wirth S Kohl S Gradl R Farlock D Roth andB M Eskofier ldquoAssessing visual exploratory activity of ath-letes in virtual reality using head motion characteristicsrdquoSensors vol 21 no 11 2021

[15] T D Saunders R K Le K M Breedlove D A Bradney andT G Bowman ldquoSex differences in mechanisms of headimpacts in collegiate soccer athletesrdquo Clinical Biomechanicsvol 74 no 3 pp 14ndash20 2020

[16] S Kodera T Kamiya T Miyazawa and A Hirata ldquoCorre-lation between estimated thermoregulatory responses andpacing in athletes duringmarathonrdquo IEEE Access vol 8 no 4pp 173079ndash173091 2020

[17] Y Wang ldquoReal-time collection method of athletesrsquo abnormaltraining data based on machine learningrdquoMobile InformationSystems vol 2021 no 3 11 pages Article ID 9938605 2021

[18] S Romagnoli A Sbrollini M Colaneri et al ldquoInitial in-vestigation of athletesrsquo electrocardiograms acquired bywearable sensors during the pre-exercise phaserdquo 8e OpenBiomedical Engineering Journal vol 15 no 1 pp 37ndash44 2021

[19] D Biagini T Lomonaco S Ghimenti et al ldquoSaliva as a non-invasive tool for monitoring oxidative stress in swimmersathletes performing a VO2max cycle ergometer testrdquo Talantavol 216 no 12 Article ID 120979 2020

[20] M Pontillo C M Butowicz D Ebaugh C A +igpenB Sennett and S P Silfies ldquoComparison of core neuro-muscular control and lower extremity postural stability inathletes with and without shoulder injuriesrdquo Clinical Bio-mechanics vol 71 no 7 pp 196ndash200 2020

[21] M Ghaderi A Letafatkar T G Almonroeder andS Keyhani ldquoNeuromuscular training improves knee pro-prioception in athletes with a history of anterior cruciate

10 Mathematical Problems in Engineering

ligament reconstruction a randomized controlled trialrdquoClinical Biomechanics vol 80 no 4 Article ID 1 2020

[22] C Reche M Viana B L van Drooge et al ldquoAthletesrsquo ex-posure to air pollution during World Athletics Relays a pilotstudyrdquo 8e Science of the Total Environment vol 717 no 4Article ID 137161 2020

[23] N Petrone G Costa G Foscan et al ldquoDevelopment ofinstrumented running prosthetic feet for the collection oftrack loads on elite athletesrdquo Sensors vol 20 no 20 2020

[24] R Moghdani K Salimifard E Demir and A BenyettouldquoMulti-objective volleyball premier league algorithmKnowledge-based systemsrdquo vol 196 no 4 Article ID 1057812020

[25] B Pang Z Ji Z Zhang et al ldquoStrength training characteristicsof different loads based on acceleration sensor and finiteelement simulationrdquo Sensors vol 21 no 2 2021

Mathematical Problems in Engineering 11

movements and practice structure +e design mode ofclassroom strength quality training is shown in Table 8

Table 9 shows the comparison of physical fitness ofathletes in each group before and after the experiment

Table 10 shows the comparison of physical fitness ofathletes in each group before and after the experiment

It can be seen from the values in Table 10 that thephysical fitness indexes of the experimental group afterpractice are significantly higher than those before the ex-periment and the difference is very significant It can be seenthat the plasticity of athletesrsquo physical quality is greatVolleyball technology has high requirements for strengthquality thus purposeful and targeted strengthening strengthquality training may help athletes enhance their entirephysical quality Serving for example needs shoulder girdleand trunk muscular strength passing necessitates flexorfingers and wrist muscle strength and spiking necessitateswrist flexor muscles shoulder girdle muscles trunk musclesand various leg muscle groups Strengthening strong qualitytraining may help athletes develop other physical charac-teristics but when athletes feel successful it can boost theirlearning excitement and help them avoid the weariness thatcomes with quality exercise Learning sports technology isbuilt on a foundation of good physical health +e results inthe table show that the physical attributes of the two groupsof athletes improved after the experiment +e developmentof quality indicators in the experimental group is signifi-cantly better than that in the control group and the

difference between the two groups has reached a significantdifference and the two items of shot put and sit-ups havereached a very significant difference +e control group alsoimproved but the improvement range was not as large asthat of the experimental group According to the relation-ship between force measurement and time the musclestrength test process is limited to a specific force and timeframe and the FT curve method is used to describe orexplain the variation characteristics of muscle strength +eresults are shown in Figure 7

Table 10 Comparison of self data mean of the experimental group before and after the experiment

Group items Before experiment After test Mean difference P

50M (s) 925plusmn 365 833plusmn 115 092 gt006800M (s) 24565plusmn 1325 22739plusmn 1220 1895 lt001Standing long jump (CM) 16732plusmn 1171 18565plusmn 962 1965 lt001Shot put (CM)) 45603plusmn 785 53512plusmn 867 -8008 lt001Sit ups (timesminute) 2552plusmn 1365 3579 -1226 lt001

Forc

e

Fmax

Time X(time)

50ms

Y=f(x)

t

STK

(a)

Forc

e

Y+F(x)

t2t1

(b)

Figure 7 FT curve of muscle strength after volleyball player strength training

0

Physical strength

30

60

Traditional methodPaper method

90

30 60 90

Trai

ning

pro

gres

s

Figure 8 Comparison of training effects of two methods

Mathematical Problems in Engineering 9

According to the time spent on the data miningmethods draw the running rate of the two methods for datamining and the results are shown in Figure 8

It can be seen from Figure 8 that the speed of this methodis significantly faster than that of traditional data miningand with the increase in data collection the data miningspeed advantage of this method is more obvious Howeverthe traditional data mining methods cannot analyze big dataquickly which leads to a large amount of data backlog andcannot be processed in time which reduces the rate of datamining Based on the above experimental results it is notdifficult to find that compared with the traditional trainingmethods this method is more scientific and practical

4 Conclusion

Different tactical schools of volleyball are not invariableWith the continuous development of the project the changeof mature rules and the change in athletesrsquo physical con-ditions the tactical characteristics of teams in differentcountries are also changing +e continuous integration anddevelopment of various playing methods are the drivingforce for the current progress of volleyball As long as anyoneignores the research in this field he will lag behind thedevelopment of world volleyball and pay a heavy price Onlythrough continuous absorption and innovation can he standat the forefront of world volleyball Good strength quality ofvolleyball players is the basic condition for masteringtechnology and achieving excellent results but in strengthquality training we should not only pay attention to physicaltraining We should also pay attention to the combination ofskills and tactics and do not ignore flexibility and relaxationtraining so as to achieve the best effect of strength training

Data Availability

+e data used to support the findings of this study are in-cluded within the article

Conflicts of Interest

+e authors declare that they have no conflicts of interest

References

[1] S Liu D Liu K Muhammad and W Ding ldquoEffectivetemplate update mechanism in visual tracking with back-ground clutterrdquo Neurocomputing vol 458 pp 615ndash625 2021

[2] S Liu S Wang X Liu et al ldquoHuman memory updatestrategy a multi-layer template update mechanism for remotevisual monitoringrdquo IEEE Transactions on Multimedia vol 23pp 2188ndash2198 2021

[3] S Liu T He and J Dai ldquoA survey of crf algorithm basedknowledge extraction of elementary mathematics in chineserdquoMobile Networks amp Applications vol 6 pp 1ndash13 2021

[4] K Lian Jing S-y Fang and Y-F Zhou ldquoModel predictivecontrol of the fuel cell cathode system based on state quantityestimationrdquo Computer Simulation vol 37 no 07 pp 119ndash122 2020

[5] S Bardak T Bardak H Peker E Sozen and Y CcedilabukldquoPredicting effects of selected impregnation processes on the

observed bending strength of wood with use of data miningmodelsrdquo Bioresources vol 16 no 3 pp 4891ndash4904 2021

[6] M Y N Attari B Ejlaly H Heidarpour and A Ala ldquoAp-plication of data mining techniques for the investigation offactors affecting transportation enterprisesrdquo IEEE Transac-tions on Intelligent Transportation Systems vol 2021 pp 1ndash162021

[7] N Ioannis P Vasilis and D Sotiris ldquoBayesian models forprediction of the set-difference in volleyballrdquo IMA Journal ofManagement Mathematics vol 34 no 4 p 4 2021

[8] D Gupta J L Jensen and L D Abraham ldquoBiomechanics ofhang-time in volleyball spike jumpsrdquo Journal of Biomechanicsvol 121 no 4 Article ID 110380 2021

[9] A Umek and A Kos ldquoSensor system for augmented feedbackapplications in volleyballrdquo Procedia Computer Sciencevol 174 no 3 pp 369ndash374 2020

[10] B A Pang Z A Ji Z A Zhang et al ldquoCharacteristics ofaerobic resistance strength training with different load in-tensity based on acceleration sensorrdquo Procedia ComputerScience vol 187 no 4 pp 7ndash11 2021

[11] L Zwingmann M Hoppstock J-P Goldmann and P Wahlldquo+e effect of physical training modality on exercise perfor-mance with police-related personal protective equipmentrdquoApplied Ergonomics vol 93 Article ID 103371 2021

[12] R Chu X Chen S Tao and D Yang ldquoResearch on inversesimulation of physical training process based on wirelesssensor networkrdquo International Journal of Distributed SensorNetworks vol 16 no 4 Article ID 155014772091426 2020

[13] T A Prasanna K A Vidhya D Baskar K U Rani andS Joseph ldquoEffect OF yogic practices and physical exercisestraining ON flexibility OF urban BOYS athletessrdquo HighTechnology Letters vol 26 no 6 pp 40ndash44 2020

[14] M Wirth S Kohl S Gradl R Farlock D Roth andB M Eskofier ldquoAssessing visual exploratory activity of ath-letes in virtual reality using head motion characteristicsrdquoSensors vol 21 no 11 2021

[15] T D Saunders R K Le K M Breedlove D A Bradney andT G Bowman ldquoSex differences in mechanisms of headimpacts in collegiate soccer athletesrdquo Clinical Biomechanicsvol 74 no 3 pp 14ndash20 2020

[16] S Kodera T Kamiya T Miyazawa and A Hirata ldquoCorre-lation between estimated thermoregulatory responses andpacing in athletes duringmarathonrdquo IEEE Access vol 8 no 4pp 173079ndash173091 2020

[17] Y Wang ldquoReal-time collection method of athletesrsquo abnormaltraining data based on machine learningrdquoMobile InformationSystems vol 2021 no 3 11 pages Article ID 9938605 2021

[18] S Romagnoli A Sbrollini M Colaneri et al ldquoInitial in-vestigation of athletesrsquo electrocardiograms acquired bywearable sensors during the pre-exercise phaserdquo 8e OpenBiomedical Engineering Journal vol 15 no 1 pp 37ndash44 2021

[19] D Biagini T Lomonaco S Ghimenti et al ldquoSaliva as a non-invasive tool for monitoring oxidative stress in swimmersathletes performing a VO2max cycle ergometer testrdquo Talantavol 216 no 12 Article ID 120979 2020

[20] M Pontillo C M Butowicz D Ebaugh C A +igpenB Sennett and S P Silfies ldquoComparison of core neuro-muscular control and lower extremity postural stability inathletes with and without shoulder injuriesrdquo Clinical Bio-mechanics vol 71 no 7 pp 196ndash200 2020

[21] M Ghaderi A Letafatkar T G Almonroeder andS Keyhani ldquoNeuromuscular training improves knee pro-prioception in athletes with a history of anterior cruciate

10 Mathematical Problems in Engineering

ligament reconstruction a randomized controlled trialrdquoClinical Biomechanics vol 80 no 4 Article ID 1 2020

[22] C Reche M Viana B L van Drooge et al ldquoAthletesrsquo ex-posure to air pollution during World Athletics Relays a pilotstudyrdquo 8e Science of the Total Environment vol 717 no 4Article ID 137161 2020

[23] N Petrone G Costa G Foscan et al ldquoDevelopment ofinstrumented running prosthetic feet for the collection oftrack loads on elite athletesrdquo Sensors vol 20 no 20 2020

[24] R Moghdani K Salimifard E Demir and A BenyettouldquoMulti-objective volleyball premier league algorithmKnowledge-based systemsrdquo vol 196 no 4 Article ID 1057812020

[25] B Pang Z Ji Z Zhang et al ldquoStrength training characteristicsof different loads based on acceleration sensor and finiteelement simulationrdquo Sensors vol 21 no 2 2021

Mathematical Problems in Engineering 11

According to the time spent on the data miningmethods draw the running rate of the two methods for datamining and the results are shown in Figure 8

It can be seen from Figure 8 that the speed of this methodis significantly faster than that of traditional data miningand with the increase in data collection the data miningspeed advantage of this method is more obvious Howeverthe traditional data mining methods cannot analyze big dataquickly which leads to a large amount of data backlog andcannot be processed in time which reduces the rate of datamining Based on the above experimental results it is notdifficult to find that compared with the traditional trainingmethods this method is more scientific and practical

4 Conclusion

Different tactical schools of volleyball are not invariableWith the continuous development of the project the changeof mature rules and the change in athletesrsquo physical con-ditions the tactical characteristics of teams in differentcountries are also changing +e continuous integration anddevelopment of various playing methods are the drivingforce for the current progress of volleyball As long as anyoneignores the research in this field he will lag behind thedevelopment of world volleyball and pay a heavy price Onlythrough continuous absorption and innovation can he standat the forefront of world volleyball Good strength quality ofvolleyball players is the basic condition for masteringtechnology and achieving excellent results but in strengthquality training we should not only pay attention to physicaltraining We should also pay attention to the combination ofskills and tactics and do not ignore flexibility and relaxationtraining so as to achieve the best effect of strength training

Data Availability

+e data used to support the findings of this study are in-cluded within the article

Conflicts of Interest

+e authors declare that they have no conflicts of interest

References

[1] S Liu D Liu K Muhammad and W Ding ldquoEffectivetemplate update mechanism in visual tracking with back-ground clutterrdquo Neurocomputing vol 458 pp 615ndash625 2021

[2] S Liu S Wang X Liu et al ldquoHuman memory updatestrategy a multi-layer template update mechanism for remotevisual monitoringrdquo IEEE Transactions on Multimedia vol 23pp 2188ndash2198 2021

[3] S Liu T He and J Dai ldquoA survey of crf algorithm basedknowledge extraction of elementary mathematics in chineserdquoMobile Networks amp Applications vol 6 pp 1ndash13 2021

[4] K Lian Jing S-y Fang and Y-F Zhou ldquoModel predictivecontrol of the fuel cell cathode system based on state quantityestimationrdquo Computer Simulation vol 37 no 07 pp 119ndash122 2020

[5] S Bardak T Bardak H Peker E Sozen and Y CcedilabukldquoPredicting effects of selected impregnation processes on the

observed bending strength of wood with use of data miningmodelsrdquo Bioresources vol 16 no 3 pp 4891ndash4904 2021

[6] M Y N Attari B Ejlaly H Heidarpour and A Ala ldquoAp-plication of data mining techniques for the investigation offactors affecting transportation enterprisesrdquo IEEE Transac-tions on Intelligent Transportation Systems vol 2021 pp 1ndash162021

[7] N Ioannis P Vasilis and D Sotiris ldquoBayesian models forprediction of the set-difference in volleyballrdquo IMA Journal ofManagement Mathematics vol 34 no 4 p 4 2021

[8] D Gupta J L Jensen and L D Abraham ldquoBiomechanics ofhang-time in volleyball spike jumpsrdquo Journal of Biomechanicsvol 121 no 4 Article ID 110380 2021

[9] A Umek and A Kos ldquoSensor system for augmented feedbackapplications in volleyballrdquo Procedia Computer Sciencevol 174 no 3 pp 369ndash374 2020

[10] B A Pang Z A Ji Z A Zhang et al ldquoCharacteristics ofaerobic resistance strength training with different load in-tensity based on acceleration sensorrdquo Procedia ComputerScience vol 187 no 4 pp 7ndash11 2021

[11] L Zwingmann M Hoppstock J-P Goldmann and P Wahlldquo+e effect of physical training modality on exercise perfor-mance with police-related personal protective equipmentrdquoApplied Ergonomics vol 93 Article ID 103371 2021

[12] R Chu X Chen S Tao and D Yang ldquoResearch on inversesimulation of physical training process based on wirelesssensor networkrdquo International Journal of Distributed SensorNetworks vol 16 no 4 Article ID 155014772091426 2020

[13] T A Prasanna K A Vidhya D Baskar K U Rani andS Joseph ldquoEffect OF yogic practices and physical exercisestraining ON flexibility OF urban BOYS athletessrdquo HighTechnology Letters vol 26 no 6 pp 40ndash44 2020

[14] M Wirth S Kohl S Gradl R Farlock D Roth andB M Eskofier ldquoAssessing visual exploratory activity of ath-letes in virtual reality using head motion characteristicsrdquoSensors vol 21 no 11 2021

[15] T D Saunders R K Le K M Breedlove D A Bradney andT G Bowman ldquoSex differences in mechanisms of headimpacts in collegiate soccer athletesrdquo Clinical Biomechanicsvol 74 no 3 pp 14ndash20 2020

[16] S Kodera T Kamiya T Miyazawa and A Hirata ldquoCorre-lation between estimated thermoregulatory responses andpacing in athletes duringmarathonrdquo IEEE Access vol 8 no 4pp 173079ndash173091 2020

[17] Y Wang ldquoReal-time collection method of athletesrsquo abnormaltraining data based on machine learningrdquoMobile InformationSystems vol 2021 no 3 11 pages Article ID 9938605 2021

[18] S Romagnoli A Sbrollini M Colaneri et al ldquoInitial in-vestigation of athletesrsquo electrocardiograms acquired bywearable sensors during the pre-exercise phaserdquo 8e OpenBiomedical Engineering Journal vol 15 no 1 pp 37ndash44 2021

[19] D Biagini T Lomonaco S Ghimenti et al ldquoSaliva as a non-invasive tool for monitoring oxidative stress in swimmersathletes performing a VO2max cycle ergometer testrdquo Talantavol 216 no 12 Article ID 120979 2020

[20] M Pontillo C M Butowicz D Ebaugh C A +igpenB Sennett and S P Silfies ldquoComparison of core neuro-muscular control and lower extremity postural stability inathletes with and without shoulder injuriesrdquo Clinical Bio-mechanics vol 71 no 7 pp 196ndash200 2020

[21] M Ghaderi A Letafatkar T G Almonroeder andS Keyhani ldquoNeuromuscular training improves knee pro-prioception in athletes with a history of anterior cruciate

10 Mathematical Problems in Engineering

ligament reconstruction a randomized controlled trialrdquoClinical Biomechanics vol 80 no 4 Article ID 1 2020

[22] C Reche M Viana B L van Drooge et al ldquoAthletesrsquo ex-posure to air pollution during World Athletics Relays a pilotstudyrdquo 8e Science of the Total Environment vol 717 no 4Article ID 137161 2020

[23] N Petrone G Costa G Foscan et al ldquoDevelopment ofinstrumented running prosthetic feet for the collection oftrack loads on elite athletesrdquo Sensors vol 20 no 20 2020

[24] R Moghdani K Salimifard E Demir and A BenyettouldquoMulti-objective volleyball premier league algorithmKnowledge-based systemsrdquo vol 196 no 4 Article ID 1057812020

[25] B Pang Z Ji Z Zhang et al ldquoStrength training characteristicsof different loads based on acceleration sensor and finiteelement simulationrdquo Sensors vol 21 no 2 2021

Mathematical Problems in Engineering 11

ligament reconstruction a randomized controlled trialrdquoClinical Biomechanics vol 80 no 4 Article ID 1 2020

[22] C Reche M Viana B L van Drooge et al ldquoAthletesrsquo ex-posure to air pollution during World Athletics Relays a pilotstudyrdquo 8e Science of the Total Environment vol 717 no 4Article ID 137161 2020

[23] N Petrone G Costa G Foscan et al ldquoDevelopment ofinstrumented running prosthetic feet for the collection oftrack loads on elite athletesrdquo Sensors vol 20 no 20 2020

[24] R Moghdani K Salimifard E Demir and A BenyettouldquoMulti-objective volleyball premier league algorithmKnowledge-based systemsrdquo vol 196 no 4 Article ID 1057812020

[25] B Pang Z Ji Z Zhang et al ldquoStrength training characteristicsof different loads based on acceleration sensor and finiteelement simulationrdquo Sensors vol 21 no 2 2021

Mathematical Problems in Engineering 11

top related