Analysis of Ship Motions

MARINTEK REPORT

TITLE

ANALYSIS OF SHIP MOTIONS HIGH-SPEED PENTAMARAN FERRY

AUTHOR(S)

Arne Kristian Dahl

CLIENT(S)

Norwegian Marine Technology Research Institute Postal address: P.O.Box 4125 Valentinlyst N-7450 Trondheim, NORWAY Location: Marine Technology Centre Otto Nielsens veg 10 Phone: +47 7359 5500 Fax: +47 7359 5776 http://www.marintek.sintef.no Enterprise No.: NO 937 357 370 MVA

Nigel Gee & Associates

FILE CODE CLASSIFICATION CLIENTS REF.

MT60 F01-297 Confidential Ed Dudson CLASS. THIS PAGE ISBN PROJECT NO. NO. OF PAGES/APPENDICES

601900 REFERENCE NO. PROJECT MANAGER (NAME, SIGN.) VERIFIED BY (NAME, SIGN.)

Per Werenskiold Egil Jullumstrø REPORT NO. DATE APPROVED BY (NAME, POSITION, SIGN.)

601900.02 2001-10-11 Dariusz E. Fathi ABSTRACT

Seakeeping analyses are performed in five headings with a 59 m Pentamaran Ferry designed by Nigel Gee and Associates Ltd. The calculations have been performed by means of MARINTEK’s computer program VERES where the computational model was tuned against the model test results reported in MARINTEK Report 601900.01. (Hull model Version M-2346C). The objective of the tests was to assess comfort and safety performance of the craft according to specified criteria as in the IMO HSC Code classification of limitations for operation in “normal” and “worst intended” conditions. The report presents:

RAOs in regular waves for 6 degrees of freedom for 4 speed and 5 headings for one loading conditions.

Operability limiting boundaries for a set of operability criteria. Comparison of predictions and model test results.

KEYWORDS ENGLISH NORWEGIAN

GROUP 1 Hydrodynamics Hydrodynamikk GROUP 2 Seakeeping Sjøegenskaper SELECTED BY AUTHOR Analyses Analyser

TABLE OF CONTENTS

1. SUMMARY AND CONCLUSIONS ....................................................................................3

2. INTRODUCTION..................................................................................................................4 2.1 Purpose .............................................................................................................................4 2.2 Extent of work ..................................................................................................................4

3. VESSEL DATA ......................................................................................................................6 3.1 Principal dimensions.........................................................................................................6 3.2 Performance criteria..........................................................................................................7

4. RESULTS................................................................................................................................8 4.1 Motions in regular waves .................................................................................................8 4.2 Operability limiting boundaries........................................................................................8 4.3 Comparison with model tests ...........................................................................................9

ENCLOSURES

1 Vessel body plan. 2-3 Principal dimensions and hydrostatic data. 4 Point data for motion calculations. 5-7 Operational criteria. 8 Standard criteria for safety and comfort onboard ships. 9 Formulae for linear statistics of vessel response. 10 Description of VERES

2

APPENDIX A-C RAO Appendix A Point 35 knots 40 knots 50 knots 60 knots Sway CoG 1 2 3 4Heave “ 5 6 7 8

Roll “ 9 10 11 12 Pitch “ 13 14 15 16 Yaw “ 17 18 19 20

Maximum operating limits Appendix B Criterion no. 35 knots 40 knots 50 knots 60 knots Heading 0 deg 1-10 1 6 11 16 Heading 45 deg “ 2 7 12 17 Heading 90 deg “ 3 8 13 18 Heading 135 deg “ 4 9 14 19 Heading 180 deg “ 5 10 15 20 Comparisons with experimental results Appendix C Point 0 deg 45 deg 90 deg 135 deg 180 deg Roll CoG 1 2 3 Pitch “ 4 5 6 7 Vertical accelerations “ 8 9 10 11 12 Vertical accelerations FP 13 14 15 16 17 Vertical accelerations AP 18 19 20 21 22 Lateral accelerations Deck 23 24 25

3

1. SUMMARY AND CONCLUSIONS Seakeeping performance of the NGA design 70 knots Pentamaran Ferry is assessed by means of MARINTEK’s computer program VERES. The operational limits are calculated for alternative operational conditions (criteria), speeds and sea conditions. The limiting sea condition and critical ship motion, in general represented by the vertical acceleration in centre of gravity, are summarised in table below for alternative ship speeds.

Limiting Factors Type of Criteria Sea State Speed Heading Limiting parameter Hs=2.1 m 35 kn 0 deg Vertical acceleration (cog) Hs=2.1 m 40 kn 0 deg Vertical acceleration (cog) Hs=2.0 m 50 kn 45 deg Vertical acceleration (cog)

HSC Code Worst Intended Condition Passenger Safety

Hs=1.6 m 60 kn 45 deg Vertical acceleration (cog) Hs=1.7m 35 kn 0-45 deg Vertical acceleration (cog) Hs=1.7m 40 kn 45 deg Vertical acceleration (cog) Hs=1.6m 50 kn 45 deg Vertical acceleration (cog)

HSC Code Normal Operation Passenger Health

Hs=1.6m 60 kn 0-45 deg Vertical acceleration (cog) Hs=1.0m 35 kn 45 deg Vertical acceleration (cog) Hs=1.0m 40 kn 0-45 deg Vertical acceleration (cog) Hs=1.0m 50 kn 45 deg Vertical acceleration (cog)

ISO 2631/3 Comfortable Cruise (1/2 hrs exposure)

Hs=0.9m 60 kn 45 deg Vertical acceleration (cog)

The model seakeeping tests show that operational limits are exceeded at the following operational conditions (MARINTEK Report No. 601900.01):

Limiting Factors Type of Criteria Sea State Speed Heading Limiting parameter

HSC Code Worst Intended Condition / Passenger Safety

Up to Hs=1.9m

Up to 70kn

All No limits / no criteria exceeded

135 deg Longitudinal acc. Hs=0.9m 65 kn 45 deg Vertical acc. (cog)

50 kn 180 deg Longitudinal acc.

HSC Code Normal Operation / Passenger Health

Hs=1.9m 45 kn 0-45 deg Vertical acc. (cog)

Hs=0.9m 50 kn 45 deg Vertical acc. (cog) ISO 2631/3 Comfortable Cruise (1/2 hrs exposure) Hs=1.9m 30 kn 0-45 deg Vertical acc. (cog)

The predicted operability figures and the excess of limiting criteria as experienced by model tests are consistent concerning limiting criterion and limiting heading, in good agreement concerning limiting wave height at speeds up to 50 knots.

4

2. INTRODUCTION

2.1 Purpose

Nigel Gee & Associates has commissioned MARINTEK to evaluate the seakeeping abilities of a pentamaran ferry. The commission includes model tests, covered in MARINTEK Report No. 601900.01 “Seakeeping and Manoeuvring Tests Pentamaran Ferry “, as well as numerical analyses of the vessel’s seakeeping ability. This report covers seakeeping analyses carried out by means of MARINTEK’s computer program VERES (see Enclosures 10-11). The objective was to assess comfort and safety performance of the craft according to specified criteria as in the IMO HSC Code classification of limitations for operation in “normal” and “worst intended” conditions. The computational model should be tuned against the model tests reported in MARINTEK Report 601900.01 in order to increase the validity of the results. The VERES program is capable of calculating ship motions for displacement vessels at low/moderate speeds, as well as high speeds. It does not, however, cover planing vessel effects. For this reason, the main purpose of this numerical study has been to complement the model tests at the lower speeds (35-50 knots), tuning the roll damping against the model tests to obtain more accurate results. However, calculations up to 60 knots are performed and compared to the model test results to evaluate the validity of the results. The accuracy is expected to decrease for the higher speeds, since the vessel will be planing in these conditions.

2.2 Extent of work

The seakeeping analysis reported here includes: 1. Calculation of RAOs (motion transfer function in regular waves) in 6 DoF (Degrees of

Freedom, i.e. surge, sway, heave, roll, pitch and yaw) for:

1 loading condition. 5 headings: 0, 45, 90, 135 and 180 degrees. 40 wave periods between 3 and 30 seconds. 4 forward speeds: 35, 40, 50 and 60 knots.

The roll damping and stiffness are adjusted so that the calculated results correspond to the model test results.

5

The RAOs for CoG is presented in Appendix A, for sway, heave, roll, pitch and yaw. The surge motions are not be presented, as the numerical model does not handle this degree of freedom with sufficient accuracy at high speeds.

2. Operation limits for selected positions and selected criteria according to Table 1 are presented

in Appendix B.

3. Comparison of calculated results and model tests results are presented in Appendix C.

6

3. VESSEL DATA

3.1 Principal dimensions

The principal dimensions of the Nigel Gee & Associates 74m pentamaran are presented below together with the loading condition data:

Main Parameters Calculations Values Length between perpendiculars, LPP 59.30 [m]

Beam, B 14.00 [m]

Draught at amidships, T 1.245 [m]

Running sinkage -0.30 [m]

Trim Aft, t (initial + dynamic) 1.90 [deg]

Displacement 300.00 [tonnes]

LCG aft of LPP/2 7.016 [m] VCG above BL 2.600 [m]

GMT 3.1 [m]

The sinkage and trim are selected from model tests results as representative mean values at speeds above 40 knots. The transverse metacentric height GMT was measured to be 3.18 m from the model tests. However, to match the measured roll motions, a value of 3.1 m was found to be suitable for the calculations. This will partly account for the non-linear roll stiffness due to the side hulls going in and out of water. In addition, the roll damping level was adjusted to match the model test results. The body plan is given in Enclosure 1. Hydrostatic data from the VERES data check are given in Enclosure 2-3. Radii of gyration used in the calculations in roll, pitch and yaw are:

Roll radius of gyration: r44 = 2.40 [m] (0.30⋅B)

Pitch radius of gyration: r55 = 14.2 [m] (0.24⋅LPP)

Yaw radius of gyration: r66 = 14.2 [m] (0.24⋅LPP)

Radii of gyration in pitch and yaw represent values as used during the model tests. The roll radius of gyration was chosen after comparisons with the model test results.

7

3.2 Performance criteria

According to the 1994 HSC Code cruise performance of a HSC shall be documented concerning limits for normal operational conditions and for worst intended conditions. In particular model tests are accepted for assessment of worst intended condition. Normal operational conditions are those in which safe operation of the craft at any heading to the waves will be obtained at maximum operational speed. Worst intended condition are those in which it should be possible to maintain safe cruise at any heading to the waves, however with reduced speed as necessary. The Code does not consider limits for passenger comfort. The criteria applied in the analyses are given in Table 1 below and in Enclosure 5 - 7. Point coordinates for response calculation are given in Enclosure 4.

Table 1: Performance criteria

Criterion No.

Location Reference Criteria Type and Limiting value (RMS)

1 Centre of Gravity ISO Passenger Health Vertical acc. 0.20g

2 Deck HSC Code Normal Op. Lateral acc. 0.07g

3 Centre of Gravity Stanag* Personnel Limit Roll motions 4.00 deg

4 Centre of Gravity Stanag* Personnel Limit Pitch motions 1.50 deg

5 Centre of Gravity ISO Passenger Safety Vertical acc. 0.25g

6 Deck HSC Code Worst Cond. Lateral acc. 0.115g

7 Centre of Gravity Stanag* Personnel Limit Roll motions 4.00 deg

8 Centre of Gravity Pass. Safe Footing Pitch motions 2.00 deg

9 Centre of Gravity ISO Comfort (1/2 hrs) Vertical acc. 0.10g

10 Deck ISO Comfort Lateral acc. 0.025g

* Stanag: STANAG 4154, NATO Standardization Agreement All the criteria are standard deviation (RMS) values.

8

4. RESULTS

4.1 Motions in regular waves

Wave induced vessel motions are calculated for the load conditions given in Enclosures 2 - 3, forward speeds 35, 40, 50 and 60 knots and 5 headings. VERES computer plots with the RAOs are presented in Appendix A.

Motion along y-axis is sway. Motion along z-axis is heave. Rotation about x-axis is roll. Rotation about y-axis is pitch. Rotation about z-axis is yaw.

RAOs give the vessel response (single amplitude) per meter wave amplitude for regular sinusoidal waves as a function of wave period. RAOs are useful for checking for which wave periods the vessel motions are large. If for instance one wishes to find the heave motion for a wave with amplitude 2m (wave height is 4m), one simply takes the heave RAO for the actual period and multiplies it by two.

4.2 Operability limiting boundaries

The vessel motions in irregular waves and criteria for acceptable response give operation limits. The criteria are safety and comfort requirements for passengers and crew and are listed in Table 1. Operation limits given as limiting wave height HS as function of the spectral peak period TP are given in Appendix B. The thick solid line in the plots gives the theoretical limit for braking waves. Combinations of HS and TP above this line represent waves that are too steep to be stable, so that the waves will brake before reaching this height. Hence, such waves do not occur at sea. For sea states representing the operation levels of IMO Works Intended Condition and Normal Operational Condition the calculations for speeds up to app. 50 knots shows:

excellent agreement with model test results for in head and bow seas for the limiting cog vertical acceleration, excellent agreement in beam seas for roll motions and excellent/good agreement in stern/following seas for the limiting pitch motion.

For sea states representing ISO comfortable cruise (1/2 hrs exposure) the calculations for speeds up to 50 knots shows:

9

excellent agreement in head and bow seas for the limiting cog vertical accelerations, good

agreement in beam seas for roll motions and good agreement in stern and following seas for the limiting pitch motion.

4.3 Comparison with model tests

The calculated vessel motions have been calibrated against the model tests to obtain reasonable results for the roll motions. The roll damping levels, as well as the roll radius of gyration and GMT have been adjusted during this calibration. When calculating vessel short-term statistics in irregular waves, the RAOs are combined with the actual wave spectrum. The wave spectrum gives the wave energy distribution as a function of wave period. The energy in the spectrum depends on the significant wave height, HS, while the spectrum peak period, TP, decides where the density of energy is concentrated. There exist a

number of sea spectra. In this case a Jonswap spectrum with peak parameter γ=3.3 are applied. The vessel motions and accelerations are calculated for HS = 0.9 and 1.9 m as tested with the model. Short term statistics at centre of gravity, CoG, and at the specified locations are presented as RMS values and compared to model test results in Appendix C. Headings during model tests are diverging up to 5 degrees from predicted values. The nominal speed values for the model test results represent the still water speed. The actual speed that is achieved in the test is given in brackets []. Comparison of VERES predictions with comprehensive model tests shows in general that at speeds up to 50 knots excellent (difference <10%) or good (difference <20%) agreement is obtained for the main limiting operational parameters. However, poor agreement and wrong speed dependent trends are also observed at speeds above 55 knots for vertical accelerations in head and bow seas. This is assumed to be caused by fully planing performance of the vessel at higher speeds and the strip theory not taking properly account for the effects of planing.

ENCL. 1 REPORT 601900.02 DATE 2002-04-23

NG && Associates - Pentamaran

Ferry REF

0

1

2

3

4

5

6

7 6 5 4 3 2 1 1 2 3 4 5 6 7

� 1 � 2 � 3 � 4 � 5 � 6� 7 � 8 � 9 � 10 � 11 � 12� 13 � 14 � 15 � 16 � 17 � 18� 19 � 20 � 21 � 22 � 23 � 24� 25 � 26 � 27 � 28 � 29 � 30� 31 � 32 � 33 � 34 � 35 � 36� 37 � 38 � 39 � 40 � 41 � 42� 43 � 44 � 45

VERES - 10/17/2001 - 16:13:33

ENCL. 2 REPORT 601900.02 DATE 2002-04-23

DATA-CHECK PROPERTIES

REF

Nigel Gee & Associates Pentamaran Ferry �

� Project:� 601900�

� Pentamaran�

� Tuned� against� model� tests� (D.Fathi� 17/10-2001)�

� GM� from� tests,� Additional� damping,� R44� tuned�

� �

� Main� dimensions� (from� input):�

� ______________________________________________________________�

� �

� Length� between� perpendiculars� � � � (m)� � � � � 59.300�

� Breadth� � � � � � � � � � � � � � � � � � � � � � � � � � (m)� � � � � 14.000�

� Draught,� midship� � � � � � � � � � � � � � � � � (m)� � � � � � 1.245�

� Sinkage� � � � � � � � � � � � � � � � � � � � � � � � � � (m)� � � � � -0.300�

� Trim,� +� =� aft� � � � � � � � � � � � � � � � � � (deg)� � � � � � 1.900�

� ______________________________________________________________�

� �

� Number� of� hulls:� � � 3� � ->� Trimaran�

� �

� Data� for� hull� no.� � 1:�

� ______________________________________________________________�

� �

� Hull� sections� � � � � � � � � � � � � � � � � � � � � � � � � � � 6� -� � 45�

� Hull� length� � � � � � � � � � � � � � � � � � � � � � (m)� � � � � 54.853�

� Hull� breadth� at� mid� section� � � � � � (m)� � � � � � 6.175�

� Hull� draught� at� mid� section� � � � � � (m)� � � � � � 0.945�

� Mean� hull� centerline� y-pos� � � � � � � (m)� � � � � � 0.000�

� Block� coefficient,� � � � � � � � � � � � Cb� (-)� � � � � � 0.790�

� Prismatic� coefficient,� � � � � � � � Cp� (-)� � � � � � 1.189�

� Mid� section� area� coefficient,� Cm� (-)� � � � � � 0.664�

� ______________________________________________________________�

� �


� ______________________________________________________________�

� �

� Hull� sections� � � � � � � � � � � � � � � � � � � � � � � � � � 19� -� � 22�

� Hull� length� � � � � � � � � � � � � � � � � � � � � � (m)� � � � � � 6.499�



� Mean� hull� centerline� y-pos� � � � � � � (m)� � � � � � 6.500�




� ______________________________________________________________�� VERES - 10/17/2001 - 16:13:49

ENCL. 3 REPORT 601900.02 DATE 2002-04-23

DATA-CHECK PROPERTIES

REF

Nigel Gee & Associates Pentamaran Ferry �

� Project:� 601900�

� Pentamaran�

� Tuned� against� model� tests� (D.Fathi� 17/10-2001)�

� GM� from� tests,� Additional� damping,� R44� tuned�

� �


� ______________________________________________________________�

� �

� Hull� sections� � � � � � � � � � � � � � � � � � � � � � � � � � 19� -� � 22�

� Hull� length� � � � � � � � � � � � � � � � � � � � � � (m)� � � � � � 6.499�



� Mean� hull� centerline� y-pos� � � � � � � (m)� � � � � -6.500�




� ______________________________________________________________�

� �

� Coefficients� for� data� check� etc.:�

� Type� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � Specified� � � � Calculated�

� ______________________________________________________________�

� �

� Displacement� � � � � � � � � � � � � � � � (tonnes)� � � � � 300.00*� � � � � � � 260.15�

� Vertical� center� of� bouyancy,� � � � � KB� � � � � � � � � � � � � � � � � � � � � 0.345*�

� Vertical� center� of� gravity,� � � � � � VCG� � � � � � 2.600*�

� Longitudinal� center� of� bouyancy,� LCB� � � � � � � � � � � � � � � � � � � 14.424*�

� Longitudinal� center� of� gravity,� � LCG� � � � � � 7.016*� � � � � � � � 7.016�

� Longitudinal� metacentric� height,� GMl� � � � 171.397*� � � � � � 171.397�

� Transverse� metacentric� height,� � � GMt� � � � � � 3.100*� � � � � � � � 2.416�

� Roll� radius� of� gyration,� � � � � � � � � r44� � � � � � 2.400*�

� Pitch� radius� of� gyration,� � � � � � � � r55� � � � � 14.232*�

� Yaw� radius� of� gyration,� � � � � � � � � � r66� � � � � 14.232*�

� Roll-yaw� radius� of� gyration,� � � � � r46� � � � � � 0.000*�

� ______________________________________________________________�

� �

� *� -� Applied� in� the� hydrodynamic� calculations�

� �

� �

�

VERES - 10/17/2001 - 16:14:03

ENCL. 4 REPORT 601900.02 DATE 2002-04-23

POINT DATA

REF

Project: NG & Associates - Pentamaran Ferry �

� File� label:� Pentamaran�

� �

� ____________________________________________________________�

� �

� Point� label:� � � � � � � � x-position� � � � y-position� � � � z-position�

� ____________________________________________________________�

� �

� FP� � � � � � � � � � � � � � � � � � � � � � -29.60� � � � � � � � � � 0.00� � � � � � � � � � 5.00�

� AP� � � � � � � � � � � � � � � � � � � � � � � 29.60� � � � � � � � � � 0.00� � � � � � � � � � 5.00�

� DECK� � � � � � � � � � � � � � � � � � � � � � 0.00� � � � � � � � � � 0.00� � � � � � � � � � 5.00�

� ____________________________________________________________�

� �

� �

� The� positions� are� defined� relative� to� Lpp/2,� the� centerline�

� and� the� base� line,� with� the� x-axis� pointing� backwards,�

� the� y-axis� pointing� to� starboard� and� the� z-axis� pointing�

� upwards.�

� �

�

VERES Postprocessor - Version 3.21.5, DATE: 2001-10-17

ENCL. 5 REPORT 601900.02 DATE 2002-04-23

OPERATIONAL CRITERIA

REF


� Number� of� criteria:� 10�

� �

� �

� Criterion� 1:� � Normal� Op.� Vertical� Acc.�

� ____________________________________________________________�

� �

� Translation� accelerations� in� HEAVE�

� Position:� Center� of� gravity�

� Standard� deviation� (RMS)�

� Value:� 1.962� [m/s²]�

� ____________________________________________________________�

� �

� �

� Criterion� 2:� � Normal� Op.� Lateral� Acc.�

� ____________________________________________________________�

� �

� Forces� in� body-fixed� coordinate� system�

� Lateral� Force� Estimator� (LFE)�

� Position:� DECK�


� Value:� 0.654� [m/s²]�

� ____________________________________________________________�

� �

� �

� Criterion� 3:� � Normal� Op.� Roll�

� ____________________________________________________________�

� �

� Angular� displacements� in� ROLL�



� Value:� 4.000� [deg]�

� ____________________________________________________________�

� �

� �

� Criterion� 4:� � Normal� Op.� Pitch�

� ____________________________________________________________�

� �

� Angular� displacements� in� PITCH�



� Value:� 1.500� [deg]�

� ____________________________________________________________�� VERES Postprocessor - Version 3.21.5, DATE: 2001-10-17

ENCL. 6 REPORT 601900.02 DATE 2002-04-23


REF


� Criterion� 5:� � Worst� Cond.� Vertical� Acc.�

� ____________________________________________________________�

� �




� Value:� 2.453� [m/s²]�

� ____________________________________________________________�

� �

� �

� Criterion� 6:� � Worst� Cond.� Lateral� Acc.�

� ____________________________________________________________�

� �





� Value:� 1.145� [m/s²]�

� ____________________________________________________________�

� �

� �

� Criterion� 7:� � Worst� Cond.� Roll�

� ____________________________________________________________�

� �

� Angular� displacements� in� ROLL�



� Value:� 4.000� [deg]�

� ____________________________________________________________�

� �

� �

� Criterion� 8:� � Worst� Cond.� Pitch�

� ____________________________________________________________�

� �

� Angular� displacements� in� PITCH�



� Value:� 2.000� [deg]�

� ____________________________________________________________�

� �


ENCL. 7 REPORT 601900.02 DATE 2002-04-23


REF


� Criterion� 9:� � ISO� Comfort� Vertical� Acc.�

� ____________________________________________________________�

� �




� Value:� 0.981� [m/s²]�

� ____________________________________________________________�

� �

� �

� Criterion� 10:� � ISO� Comfort� Lateral� Acc.�

� ____________________________________________________________�

� �





� Value:� 0.245� [m/s²]�

� ____________________________________________________________�

� �

� �

� �

�


ENCL. 8 REPORT 601900.02 DATE 2002-04-23

GENERAL COMFORT CRITERIA

REF

Comfort criteria for passengers and crew

DESCRIPTION CRITERIA

(RMS) COMMENT REFERENCE

VERTICAL ACC.: Exposure ½ hour

1 hour 2 hours 8 hours

------------------------------------ Simple light work possible Light manual work possible Heavy manual work Work of more demanding type Passenger on a ferry Passenger on a cruise liner

0.10 g 0.08 g 0.05 g 0.03 g

-----------------0.275 g

0.20 g

0.15 g 0.10 g 0.05 g 0.02 g

10% motion sickness incidence ratio (MSI) (vomiting) among infrequent travelers of the general public. (One-third octave band frequency analysis is recommended.) --------------------------------- Most of the attention devoted to keeping balance. Causes fatigue quickly. Not tolerable for longer periods. Limit in fishing vessels. Long term tolerable for crew. Limit for persons unused to ship motions. Older people. Lower threshold for vomiting to take place.

ISO 2631/3 1987 & 1982 --------------------------Conolly 1974 Mackay 1978 Payne 1976 Goto 1983 Lawther 1985

ROLL: Light manual work Demanding work Passengers on a ferry Passenger on a cruise liner

4.0º 3.0º 3.0º 2.0º

Personnel effectiveness Personnel effectiveness Short routes. Safe footing Older people. Safe footing

Comstock 1980 Hosoda 1985 Karppinen 1986 Karppinen 1986

PITCH: Navy crew Light manual work Demanding work

3.0º 2.0º 1.5º

Personnel safety Personnel effectiveness Personnel effectiveness

Comstock 1980 Hosoda 1985 Hosoda 1985

HORIZONTAL ACC.: Passenger on a ferry Navy crew Standing passenger Seated person

0.025 g 0.050 g

0.07 g (max.)

0.08 g (max.)

0.15 g (max.)

0.25 g (max) 0.15 g (max.) 0.45 g (max.)

1-2 Hz frequency. General public Non-passenger and navy ships. 99 % will keep balance without need of holding. Elderly person will keep balance when holding. Average person will keep balance when holding. Average person max. load when holding Nervous person will start holding. Persons will fall out of seats.

ISO 2631/1 Hoberock 1977 Hoberock 1977 Hoberock 1977 Hoberock 1977

ENCL. 9 REPORT 601900.02 DATE 2002-04-23

LINEAR STATISTICS OF

VESSEL RESPONSE REF

The table below presents alternative statistical quantities, their mathematical representation and approximate values (e.g. their relation to the standard deviation where applicable).

Description Distribution Mathematical representation Relation

Root mean square amplitude Single amplitude

σ 1.00σ

Average of highest 1/N amplitudes

+− N

NNerfN ln21)ln(1(

2πσ

Average amplitude Average of highest 1/3 amplitudes1 Average of highest 1/10 amplitudes Average of highest 1/100 amplitudes

Single amplitude

1.25σ 2.00σ 2.55σ 3.34σ

Prob[ x > 2.146σ ] Prob[ x > 3.035σ ] Prob[ x > 3.717σ ]

Single amplitude

[ ]

−=> 2

2

2exp

σξξxP

0.1 0.01 0.001

Largest response Single amplitude Nln2σ

4σ (for large N)

Most probable largest response xmax in: 50 oscillations 100 oscillations 200 oscillations 500 oscillations 3000 oscillations

Extreme distribution Nln2σ

2.80σ 3.03σ 3.25σ 3.53σ 4.00σ

Prob[ x > xmax ] Extreme distribution [ ]

eNxxP

N 11111max −≈

−−=> 0.632

Expected largest response Extreme distribution

+N

Nln2

5772.0ln2σ

4σ (for large N)

Extreme response with 1% probability of exceedance

Extreme distribution

01.0ln2 Nσ 5σ

Table 2 Short term statistics on the basis of the Rayleigh distribution

A few comments to some of the most typical quantities with regard to their physical representation are given below: The standard deviation or root mean square amplitude represents the response amplitudes with the highest probability of occurrence. The significant value of the response represents the mean of the 1/3 largest single response amplitudes. The significant response can be interpreted physically as the response one most frequently will feel on board the vessel.

The largest response during N encountered response amplitudes in a single seastate is equal to Nln2σ . As a rule of thumb, the largest

response is equal to four times the standard deviation (N=3000).

1 The average of the highest 1/3 amplitudes is often referred to as the significant value.

ENCL. 10

REPORT 601900.02 DATE 2002-04-23

VERES REF

Vessel Response program

The VERES (Vessel RESponse) program offers the ability to calculate ship motions and loads, including

the calculation of short term statistics, long term statistics and operability

General The study of wave induced vessel responses is essential in the design of new ships. To optimise the operability of the vessel in a seaway, it is important to minimize the motions of the ship. If the loads are decreased, the steel weight can be reduced. Further, hydrodynamic loads and motions are important from the standpoint of safety of the ship and its crew. VERES [1,2] is a tool which can be used in early design, in defining and evaluating model tests and in obtaining supplementary results. The program calculates: • Motion transfer functions in six degrees of freedom • Relative motion transfer functions • Motion transfer functions at specified points • Unsteady global loads • Short term statistics of the above mentioned • Long term statistics of the above mentioned • Operability limiting boundaries • Percentage operability

In this context, motions include displacements, velocities and accelerations. Calculations can be performed for monohulls and multi-hulls at low as well as high speed. At low and moderate speeds, the traditional strip theory, developed by Salvesen, Tuck & Faltinsen [3] is applied. At higher speeds, the high-speed formulation developed by Faltinsen & Zhao [4] is applied.

Roll damping The program can include viscous roll damping from hull friction and bilge keels [5,6], as well as the effects of roll stabilizing tanks and active stabilizing fins.

Motion control The program can include the effects form active and passive roll stabilizing tanks, rudder control and other active and passive control surfaces (such as roll stabilizing fins or T-foils) [2,7,8].

Short term statistics Short term statistics of the data from the calculations includes

• Standard deviations

• Significant values

• Expected maximum in a seastate of a given duration (e.g. 3 hours)

• Average of the 1/nth largest values

• Response zero-upcrossing period

Long term statistics Long term statistics of the data from the calculations can be calculated based on a specified scatter diagram [9]. The long term statistics can be calculated for one wave heading, or for all wave headings where each wave heading have equal probability of occurrence.

Operability The calculation of operability is available in two modes: 1. Operability limiting boundaries presented as limiting

significant wave heights as a function of the wave period

2. Percentage time operable (PTO) The operability can be calculated based on the following criteria:

• Motions in six degrees of freedom at any location on the vessel (this also includes velocities and accelerations)

• Relative vertical motions

• Probability of slamming

• Probability of green water on deck

• Probability of air exposure

• Vertical accelerations according to ISO 2631 (motion sickness)

• Motion-Induced Interruptions (MIIs)

• Motion Sickness Incidence (MSI)

2001--21041202

ENCL. 11

REPORT 601900.02 DATE 2002-04-23

VERES REF

References [1] VERES User’s Manual [2] VERES User’s Manual for the Motion Control

Module [3] SALVESEN, N.,TUCK, E.O. and FALTINSEN,

O. Ship motions and sea loads. In Transactions of the Society of Naval Architects and Marine Engineers, vol. 78, pp. 250–287, 1970.

[4] FALTINSEN, O.M. and ZHAO, R. Numeri-cal prediction of ship motions at high for-ward speed. In Phil. Trans. R. Soc. Lond. A, vol. 334, pp241-252,1991

[5] HIMENO, Y. Prediction of ship roll damping – state of the art. Technical Report 239, Dept. of Naval Architecture and Marine Engineering, University of Michigan, 1981.

[6] IKEDA, Y.et al. On roll damping force of ship - effect of friction of hull and normal force on bilge keels. Technical Report 00401, Dep. of Naval Arch., Univ. of Osaka Prefecture, 1978.

[7] CONOLLY, J.E. Rolling and its stabilization by active fins. In RINA, London, March 1968.

[8] LLOYD, A.R.J.M. Seakeeping – Ship behaviour in rough weather, A R J M Lloyd 1998.

[9] British Marine Technology Limited: Global Wave Statistics. Unwin Brothers Limited

Definition of co-ordinate system

• The origin for the input co-ordinate system is,

intersection of baseline, centreline Lpp/2. • The x-axis is positive aft of Lpp/2, the y-axis is

positive to starboard and the z-axis is positive upwards.

• The motion co-ordinate system is similar to the input co-ordinate system except for the origin, which is in the centre of gravity.

• The wave heading angle β is defined as the angle between the positive x-axis and the wave propagation direction. Hence, a wave heading angle of 0º corresponds to head seas, 90º beam seas (from port), and 180º following seas.

Transferfunction

Wave spectrum

Responsespectrum

Seakeepingcriteria

Op. lim. boundaries

Wave scatterdiagram

Percentageoperability

Specified by the user

Calculated 0 1 2 3 4 5 6 7 80

20

40

60

80

100

120

CRITERIA

Op

erab

ility

(in

%)

Roll +/- 4degVert acc 0.15gSlamming 3%Green water 7%

03

T

1.0 oS( )

o

R(o)

Vessel data

0

2

4

6

8

10

12

Headi ng: 0.0°

4 6 8 10 12 14 16 18 20 22 242

4

6

8

10

12

14

16

18

20

22

PEAK P ERIOD, Tp [sec]

Sign

. wav

e he

ight

, Hs

[m]

� Tz� � 5.5� � 6.5� � � 7.5� � � 8.5� � � 9.5� � 10.5� � 11.5� � � � Sum�� Hs�� 0.5� � � 12� � � 44� � � � 15� � � � 12� � � � � 4� � � � � 1� � � � � � � � � � 200�� 1.5� � � � 2� � � 30� � � 108� � � 131� � � � 78� � � � 29� � � � � 4� � � � 388�� 2.5� � � � 1� � � 43� � � � 80� � � � 70� � � � 35� � � � 13� � � � � 1� � � � 253�� 3.5� � � � � � � � � 2� � � � 12� � � � 29� � � � 33� � � � 21� � � � � 1� � � � 110�� 4.5� � � � � � � � � � � � � � � 3� � � � � 9� � � � 12� � � � � 9� � � � � 3� � � � � 40�� 5.5� � � � � � � � � � � � � � � 1� � � � � 2� � � � � 4� � � � � 3� � � � � 2� � � � � 13�� 6.5� � � � � � � � � � � � � � � � � � � � � 1� � � � � 1� � � � � 1� � � � � 1� � � � � � 4�� 7.5� � � � � � � � � � � � � � � � � � � � � � � � � � � 1� � � � � 1� � � � � � � � � � � � 2�� Sum� � 11� � � � 87� � � 246� � � 296� � � 214� � � 103� � � � 17� � � 1010

Procedure for frequency domain calculations in VERES

APPENDIX A

ENCL. 12 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0

10

20

30

40

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O S

WA

Y e

ta(2

)/A

WAVE PERIOD [sec]

DISPLACEMENTS

Project: NG & Associates - Pentam aran Ferry

Pentamaran� � � � � ;� 35.00kn� � � 0.0° Pentamaran� � � � � ;� 35.00kn� � 45.0°Pentamaran� � � � � ;� 35.00kn� � 90.0° Pentamaran� � � � � ;� 35.00kn� 135.0°Pentamaran� � � � � ;� 35.00kn� 180.0°

VERES - 10/17/2001 - 16:37:37

ENCL. 13 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0

10

20

30

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O S

WA

Y e

ta(2

)/A

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:38

ENCL. 14 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0

2

4

6

8

10

12

14

16

18

20

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O S

WA

Y e

ta(2

)/A

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:38

ENCL. 15 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O S

WA

Y e

ta(2

)/A

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:39

ENCL. 16 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O H

EA

VE

eta

(3)/A

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:39

ENCL. 17 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O H

EA

VE

eta

(3)/A

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:39

ENCL. 18 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0.0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1.1

1.2

1.3

1.4

1.5

1.6

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O H

EA

VE

eta

(3)/A

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:40

ENCL. 19 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0.0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1.1

1.2

1.3

1.4

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O H

EA

VE

eta

(3)/A

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:40

ENCL. 20 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0

1

2

3

4

5

6

7

8

9

10

11

12

13

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O R

OLL

eta

(4)/A

[deg

/m]

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:40

ENCL. 21 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0

1

2

3

4

5

6

7

8

9

10

11

12

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O R

OLL

eta

(4)/A

[deg

/m]

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:41

ENCL. 22 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0

1

2

3

4

5

6

7

8

9

10

11

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O R

OLL

eta

(4)/A

[deg

/m]

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:41

ENCL. 23 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0

1

2

3

4

5

6

7

8

9

10

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O R

OLL

eta

(4)/A

[deg

/m]

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:42

ENCL. 24 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0

1

2

3

4

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O P

ITC

H e

ta(5

)/A [d

eg/m

]

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:42

ENCL. 25 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0.0

1.0

2.0

3.0

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O P

ITC

H e

ta(5

)/A [d

eg/m

]

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:42

ENCL. 26 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

2.2

2.4

2.6

2.8

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O P

ITC

H e

ta(5

)/A [d

eg/m

]

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:43

ENCL. 27 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

2.2

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O P

ITC

H e

ta(5

)/A [d

eg/m

]

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:43

ENCL. 28 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0

1

2

3

4

5

6

7

8

9

10

11

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O Y

AW

eta

(6)/A

[deg

/m]

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:44

ENCL. 29 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0

1

2

3

4

5

6

7

8

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O Y

AW

eta

(6)/A

[deg

/m]

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:44

ENCL. 30 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0

1

2

3

4

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O Y

AW

eta

(6)/A

[deg

/m]

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:44

ENCL. 31 REPORT 601900.00 DATE 2002-04-23

RESPONSE AMPLITUDE

OPERATORS REF

0.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

2.2

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

RA

O Y

AW

eta

(6)/A

[deg

/m]

WAVE PERIOD [sec]

DISPLACEMENTS



VERES - 10/17/2001 - 16:37:45

APPENDIX B

ENCL. 32 REPORT 601900.00 DATE 2002-04-23

MAXIMUM OPERATING LIMITS

REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]

PEAK PERIOD, Tp [sec]

Pentamaran - Heading: 0.0°

Project: NG & Associates - Pentam aran FerryWave spectrum JONSWAP Gam m a = 3.30

Long-cres ted seas

Normal� Op.� Vertical� ;� � 35.0kn Normal� Op.� Lateral� A;� � 35.0knNormal� Op.� Roll� � � � � ;� � 35.0kn Normal� Op.� Pitch� � � � ;� � 35.0knWorst� Cond.� Vertical;� � 35.0kn Worst� Cond.� Lateral� ;� � 35.0knWorst� Cond.� Roll� � � � ;� � 35.0kn Worst� Cond.� Pitch� � � ;� � 35.0knISO� Comfort� Vertical;� � 35.0kn ISO� Comfort� Lateral� ;� � 35.0knNo� waves� above� this� curve

VERES - 10/17/2001 - 15:55:30

ENCL. 33 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:31

ENCL. 34 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:32

ENCL. 35 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:33

ENCL. 36 REPORT 601900.00 DATE 2002-04-23


REF

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:33

ENCL. 37 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:34

ENCL. 38 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:35

ENCL. 39 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:36

ENCL. 40 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:36

ENCL. 41 REPORT 601900.00 DATE 2002-04-23


REF

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:37

ENCL. 42 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:38

ENCL. 43 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:38

ENCL. 44 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:39

ENCL. 45 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:40

ENCL. 46 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:41

ENCL. 47 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:41

ENCL. 48 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:42

ENCL. 49 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:43

ENCL. 50 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:44

ENCL. 51 REPORT 601900.00 DATE 2002-04-23


REF

0

2

4

6

8

10

12

14

16

18

20

5 6 7 8 9 10 11 12 13 14 15

Sig

n. w

ave

heig

ht, H

s [m

]




Long-cres ted seas


VERES - 10/17/2001 - 15:55:44

APPENDIX C

ENCL. 52 REPORT 601900.00 DATE 2002-04-23

SHORT TERM STATISTICS

REF

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. R

OLL

[d

eg]

SIGNIFICANT WAVE HEIGHT, Hs [m]

DISPLACEMENTS

Project: NG & Associates - Pentam aran FerryWave spectrum JONSWAP Tp = 6.0 - 7.5 sec

Long-cres ted seas

Pentamaran� � � � � ;� 35.00kn� � 45.0°Pentamaran� � � � � ;� 40.00kn� � 45.0°Pentamaran� � � � � ;� 50.00kn� � 45.0°Pentamaran� � � � � ;� 60.00kn� � 45.0°Pentamaran� experiment� ;� 40.00kn� [33.6]� � � 45.0°Pentamaran� experiment� ;� 50.00kn� [42.5/40.2]� � � 45.0°Pentamaran� experiment� ;� 60.00kn� [46.6/48.6]� � � 45.0°Pentamaran� experiment� ;� 70.00kn� [57.2]� � � 45.0°

VERES - 10/17/2001 - 15:39:40

ENCL. 53 REPORT 601900.00 DATE 2002-04-23


REF

1.2

1.4

1.6

1.8

2.0

2.2

2.4

2.6

2.8

3.0

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. R

OLL

[d

eg]


DISPLACEMENTS


Long-cres ted seas

Pentamaran� � � � � ;� 35.00kn� � 90.0°Pentamaran� � � � � ;� 40.00kn� � 90.0°Pentamaran� � � � � ;� 50.00kn� � 90.0°Pentamaran� � � � � ;� 60.00kn� � 90.0°Pentamaran� experiment� ;� 40.00kn� [33.6]� � � 90.0°Pentamaran� experiment� ;� 60.00kn� [42.5]� � � 90.0°

VERES - 10/17/2001 - 15:40:17

ENCL. 54 REPORT 601900.00 DATE 2002-04-23


REF

0.6

0.7

0.8

0.9

1.0

1.1

1.2

1.3

1.4

1.5

1.6

1.7

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. R

OLL

[d

eg]


DISPLACEMENTS


Long-cres ted seas

Pentamaran� � � � � ;� 35.00kn� 135.0°Pentamaran� � � � � ;� 40.00kn� 135.0°Pentamaran� � � � � ;� 50.00kn� 135.0°Pentamaran� � � � � ;� 60.00kn� 135.0°Pentamaran� experiment� ;� 40.00kn� [39.5]� � � 135.0°Pentamaran� experiment� ;� 50.00kn� [44.7/45.3]� � � 135.0°Pentamaran� experiment� ;� 60.00kn� [51.7/52.9]� � � 135.0°Pentamaran� experiment� ;� 70.00kn� [62.0]� � � 135.0°

VERES - 10/17/2001 - 15:40:30

ENCL. 55 REPORT 601900.00 DATE 2002-04-23


REF

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1.1

1.2

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. P

ITC

H

[deg

]


DISPLACEMENTS


Long-cres ted seas

Pentamaran� � � � � ;� 35.00kn� � � 0.0°Pentamaran� � � � � ;� 40.00kn� � � 0.0°Pentamaran� � � � � ;� 50.00kn� � � 0.0°Pentamaran� � � � � ;� 60.00kn� � � 0.0°Pentamaran� experiment� ;� 40.00kn� [33.1]� � � 0.0°Pentamaran� experiment� ;� 50.00kn� [43.3]� � � 0.0°Pentamaran� experiment� ;� 60.00kn� [47.6/42.8]� � � 0.0°Pentamaran� experiment� ;� 70.00kn� [53.9]� � � 0.0°

VERES - 10/17/2001 - 15:40:54

ENCL. 56 REPORT 601900.00 DATE 2002-04-23


REF

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1.1

1.2

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. P

ITC

H

[deg

]


DISPLACEMENTS


Long-cres ted seas


VERES - 10/17/2001 - 15:41:12

ENCL. 57 REPORT 601900.00 DATE 2002-04-23


REF

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1.1

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9

Std

. dev

. P

ITC

H

[deg

]


DISPLACEMENTS


Long-cres ted seas


VERES - 10/17/2001 - 15:41:28

ENCL. 58 REPORT 601900.00 DATE 2002-04-23


REF

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1.1

1.2

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. P

ITC

H

[deg

]


DISPLACEMENTS


Long-cres ted seas

Pentamaran� � � � � ;� 35.00kn� 180.0°Pentamaran� � � � � ;� 40.00kn� 180.0°Pentamaran� � � � � ;� 50.00kn� 180.0°Pentamaran� � � � � ;� 60.00kn� 180.0°Pentamaran� experiment� ;� 40.00kn� [31.8]� � � 180.0°Pentamaran� experiment� ;� 50.00kn� [37.5]� � � 180.0°Pentamaran� experiment� ;� 60.00kn� [43.0/41.3]� � � 180.0°Pentamaran� experiment� ;� 70.00kn� [48.0]� � � 180.0°

VERES - 10/17/2001 - 15:41:56

ENCL. 59 REPORT 601900.00 DATE 2002-04-23


REF

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.20

0.22

0.24

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9

Std

. dev

. H

EA

VE

AC

C.

g-fo

rce


ACCELERATIONS


Long-cres ted seas


VERES - 10/17/2001 - 15:43:57

ENCL. 60 REPORT 601900.00 DATE 2002-04-23


REF

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.20

0.22

0.24

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9

Std

. dev

. H

EA

VE

AC

C.

g-fo

rce


ACCELERATIONS


Long-cres ted seas


VERES - 10/17/2001 - 15:44:15

ENCL. 61 REPORT 601900.00 DATE 2002-04-23


REF

0.030

0.040

0.050

0.060

0.070

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. H

EA

VE

AC

C.

g-fo

rce


ACCELERATIONS


Long-cres ted seas


VERES - 10/17/2001 - 15:44:29

ENCL. 62 REPORT 601900.00 DATE 2002-04-23


REF

0.00

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

0.09

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. H

EA

VE

AC

C.

g-fo

rce


ACCELERATIONS


Long-cres ted seas


VERES - 10/17/2001 - 15:44:48

ENCL. 63 REPORT 601900.00 DATE 2002-04-23


REF

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

0.09

0.10

0.11

0.12

0.13

0.14

0.15

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. H

EA

VE

AC

C.

g-fo

rce


ACCELERATIONS


Long-cres ted seas


VERES - 10/17/2001 - 15:45:03

ENCL. 64 REPORT 601900.00 DATE 2002-04-23


REF

0.1

0.2

0.3

0.4

0.5

0.6

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. H

EA

VE

AC

C.

g-fo

rce


ACCELERATIONSPosition: FP


Long-cres ted seas


VERES - 10/17/2001 - 15:45:25

ENCL. 65 REPORT 601900.00 DATE 2002-04-23


REF

0.1

0.2

0.3

0.4

0.5

0.6

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. H

EA

VE

AC

C.

g-fo

rce




Long-cres ted seas


VERES - 10/17/2001 - 15:45:49

ENCL. 66 REPORT 601900.00 DATE 2002-04-23


REF

0.03

0.04

0.05

0.06

0.07

0.08

0.09

0.10

0.11

0.12

0.13

0.14

0.15

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9

Std

. dev

. H

EA

VE

AC

C.

g-fo

rce




Long-cres ted seas


VERES - 10/17/2001 - 15:46:04

ENCL. 67 REPORT 601900.00 DATE 2002-04-23


REF

0.00

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9

Std

. dev

. H

EA

VE

AC

C.

g-fo

rce




Long-cres ted seas


VERES - 10/17/2001 - 15:46:19

ENCL. 68 REPORT 601900.00 DATE 2002-04-23


REF

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.20

0.22

0.24

0.26

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9

Std

. dev

. H

EA

VE

AC

C.

g-fo

rce




Long-cres ted seas


VERES - 10/17/2001 - 15:46:42

ENCL. 69 REPORT 601900.00 DATE 2002-04-23


REF

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.20

0.22

0.24

0.26

0.28

0.30

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9

Std

. dev

. H

EA

VE

AC

C.

g-fo

rce


ACCELERATIONSPosition: AP


Long-cres ted seas


VERES - 10/17/2001 - 15:47:03

ENCL. 70 REPORT 601900.00 DATE 2002-04-23


REF

0.08

0.10

0.12

0.14

0.16

0.18

0.20

0.22

0.24

0.26

0.28

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. H

EA

VE

AC

C.

g-fo

rce




Long-cres ted seas


VERES - 10/17/2001 - 15:47:18

ENCL. 71 REPORT 601900.00 DATE 2002-04-23


REF

0.03

0.04

0.05

0.06

0.07

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. H

EA

VE

AC

C.

g-fo

rce




Long-cres ted seas


VERES - 10/17/2001 - 15:47:33

ENCL. 72 REPORT 601900.00 DATE 2002-04-23


REF

0.00

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. H

EA

VE

AC

C.

g-fo

rce




Long-cres ted seas


VERES - 10/17/2001 - 15:47:47

ENCL. 73 REPORT 601900.00 DATE 2002-04-23


REF

0.00

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

0.09

0.10

0.11

0.12

0.13

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. H

EA

VE

AC

C.

g-fo

rce




Long-cres ted seas


VERES - 10/17/2001 - 15:48:04

ENCL. 74 REPORT 601900.00 DATE 2002-04-23


REF

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. L

FE

g-fo

rce


Lateral Force Estimators (LFE)Position: DECK


Long-cres ted seas


VERES - 10/17/2001 - 15:48:30

ENCL. 75 REPORT 601900.00 DATE 2002-04-23


REF

0.026

0.028

0.030

0.032

0.034

0.036

0.038

0.040

0.042

0.044

0.046

0.048

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9

Std

. dev

. L

FE

g-fo

rce




Long-cres ted seas


VERES - 10/17/2001 - 15:48:42

ENCL. 76 REPORT 601900.00 DATE 2002-04-23


REF

0.02

0.03

0.04

0.05

0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

Std

. dev

. L

FE

g-fo

rce




Long-cres ted seas


VERES - 10/17/2001 - 15:48:56

Analysis of Ship Motions

Documents