UNCLASSIFIED AD NUMBER AD915628 NEW LIMITATION CHANGE TO Approved for public release, distribution unlimited FROM Distribution authorized to U.S. Gov't. agencies only; Test and Evaluation; NOV 1973. Other requests shall be referred to Commander, Army Armament Research and Development Center, Attn: SMCAR-MSI. Dover, NJ 07801. AUTHORITY ARDEC ltr, 26 Jan 2010 THIS PAGE IS UNCLASSIFIED
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TO · 2018-11-09 · 1., Nose length 1.8 to 4.0 calibers 2. Projectile length 3.6 to 9.0 calibers 3. Boattail length 0.0 to 1.0 calibers 4. Meplot diameter, 0.10 to 0.15 calibers
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UNCLASSIFIED
AD NUMBER
AD915628
NEW LIMITATION CHANGE
TOApproved for public release, distributionunlimited
FROMDistribution authorized to U.S. Gov't.agencies only; Test and Evaluation; NOV1973. Other requests shall be referred toCommander, Army Armament Research andDevelopment Center, Attn: SMCAR-MSI.Dover, NJ 07801.
AUTHORITY
ARDEC ltr, 26 Jan 2010
THIS PAGE IS UNCLASSIFIED
COPY NO. ____
imr4 TECHNICAL REPORT 4588
SPIN-73
AN UPDATED VERSION OF THE SPINNER
COMPUTER PROGRAM
ROBERT H. WHYTE
NOVEMBER 1973
r
Distribution limited to U. S. Government agencies only (test and evaluation;November 1973). Other requests for this documcnt must be referred to PicatinnyArsenal, D'over, New jersey, Al 1N: .RF-Ib-T-S.
PICATINNY ARSENAL
DOVER, NEW JERSEY
The findings in tids report are not to be construedas an official Department of the Army position.
DISPOSITION
Destroy this report when no longer needed. Do notreturn to the o.rginator.
I a• • • "
Technical Report 4588
SPIN-73
AN UPDATFD VERSION OF THE SPINNERCOMPUTER PROGRAM
by
Robert H. Whyte
November 1973
AMCMS Code No. 554C.12.62000
Distribution limited to U.S. Covernment agencies only (testand evaluation; November 1973). Other requests for this document
must be referred to Picatinny Arsenal, Dover, New Jersey, ATTN:SARPA-TS-T-S.
Conducted for
Feltman Research LaboratoryPicatinny Arsenal
Dover, New Jersey 07801
I undei
Contract No. DAAA23-73-C-0033
by
Armament Systems Department
General Electric Co.Burlington, VT 05401
% -- --- ,
FOREWORD
Thi5 report documents tasks accomplished by the Armament Systems Department,
General Electric Company, Burlington, Vermont under United States Government
Contract No. DAAA21-73-C-0033 during the period from 14 August 1972 to 14 July
1973.
I P
ACKNOWLEDGEMENT
The author wishes to acknowledge the personnel of the Free Flight
Branch of the Ballistic Research Laboratories, Aberdeen Proving Grounds;
the Aeroballistic Branch of Picatinny Arsenal; and the Aeroballistics Branch
(Range G) Arnold Engineering Development Center for their cooperation in
the collection and interpretation of data used in this study.
2
-4W9
ABSTRACT
The SPINNER computer program has been updated to compute aerodynamic
coefficients for a wide variety of spin stabilized projectile shapes.
Improvements over the original program are substantial as ogive radius,
meplat diameter and rotating band diameter are accounted for instead of
assuming mean values. Test cases are shown comparing the 1969 SPINNER,
the 1973 SPINNER and experimental data. Input instructions and sample pro-
gram outputs are given along with the 1973 program listing.
3
4,
TABLE OF CONTENTS Pg
Foreword .. ...........................
Acknowledgement. ............................ 2
Abstract .. ...........................
List of :ables .. ........................
List of Figures. .......................... 6
Nomenclature .. .........................
Introduction .. ........................... 9
Procedure .. ........................... 11
Empirical Equations .. ...................... 13
Results and Discussion. .. .................... 19
Conclusions and Recommendations .. ................ 21
References. .. .......................... 22
Appendix A Curve Fit Technique .. .............. 71
Appendix B Input - Output - Description. .. ......... 75
Appendix C Program Listing SPIN-73. .. ........... 78
16. Buford, W.E. Aerodynamic Characteristics of the 30mm Shell T306EJ0. BRLTechnical Note 1019, July 1955. AD077533.
17. Carman, J.B. Wind Tunnel and Free Fligbt Range Tests of 3 and 5 CaliberAN Spinner Projectile with Rotation Bands. AEDC-TR-71-119, June 1971.
18. Deitrick, R.E. Effect of a Hemispherical Base on the Aerodynamic Character-istics of Shell. BRL Memo Report 947, November 1955. AD095782.
19. Dickinson, E.R. The Zero-.Yaw Drag Coefficient for Projectile 8-Inch, HE,M106. BRL Memo Report 1681, September 1965. AD473562.
20. Dickinson, E.R. Some Aerodynamic Coefficients for Projectile 4.2 Inch:HE, M329AI. BRL Memo Report 1900, February 1968. AD8227762.
21. Dickinson, E.R. Stability Determination of the 152mm Heat/mp Shell XM409E4.BRL Technical Note 1404, May 1961. AD374985.
22. Dickinson, E.R. Stability Determination of the 152mm Heat-mp-T ShellXM409F5 Mod 2A. BRL Memo Report 1391, Feburary 1962. AD329235.
23. Dickinson, E.R. Zero-Yaw Drag Coefficient for Projectile 175mm HE M437.BRL Memo Report 1568, March 1964. AD443811.
24. Dickinson, E.R. Some Aerodynamic Effect of Varying the Body Length andHead Length of a Spinning Projectile. BRL Report 1664, July 1965. AD469897.
25. Dickinson, E.R. The Effect of Boattailing on the Drag Coefficient of Cone-Cylinder Projectile at Supersonic Velocity. BRL Memo Report 842, October1954. AD057769.
26. Dickinson, E.R. Some Aerodynamic Effects of Head Shape Variation at Mach 2.44.BRL Memo Report 838, October 1954. AD057748.
27. Dickinson, E.R. Some Aerodynamic Effects of Blunting a Projectile Nose.BRL Memo Report 1596, September 1964. AD451977.
28. Dickinson, E.R. The Zero Yaw Drag Coefficient for Projectile 155mm; AtomicXM454. BRL Memo Report 1757, June 1966. AD488057.
29. Donovan, W.F. Analysis of Free Flight Test of 107mm Mortar Projectile XM571RAP. BRL Memo Report 2013, October 1969. AD862137.
30. Donovan, W.F. Transonic Range Tests of 5 Inch/38 Rocket Assisted Projectile(Inert). BRL Memo Report 2071, November 1970. AD878280.
31. Donovan, W.F. Transonic Range Tests of 5 Tnch/54 Rocket Assisted Projectile(Inert). BRL Memo Report 2107, July 1971. AD730661.
23
-| , i / ' A 1 i-. ..
32. General Electric Company, Advance Munitions Development Burlington, Vermont,Aerodynamic Data Files (Unpublished).
33. Haseltine, W.R. Yawing Motion of 5'0 MK41 Projectile Studies By Means of
Yaw Sonde. NWCTP4779, August 1969. AD862065.
34. Hitchock, H.P. Aerodynamic Data for Spinning Projectiles. BRL Report 620,January 1952. AD800469.
35. Karpov, B.G. The Aerodynamic Properties of the 155mm Shell M101 from Free
Flight Range Tests of Full Scale and 1/12 Scale Model. BRL Memo Report 1582,June 1964. AD454925.
36. Karpov, B.G. Aerodynamic Characteristic of the 110mm HE, T194 Shell and itsModifications with Fuze M51A5. BRL Memo Report 1057, Februray 1957.
AD127627.
37. Karpov, B.G. The Effect of Various Boattail Shapes on Base Pressure and
Other Aerodynamic Characteristics of a 7-Caliber Long Body of Revolutionat M=1.70. BRL Memo Report 1295, August 1965. AD474352.
38. Karpov, B.G. Aerodynamic Characteristic of the 175mm T203 Shell and the175mm Square Base Shell with Fuze M51A5. BRL MenLo Report 956, December 1955.
AD086528.
39. Krial, K.S. Aerodynamic Properties of a Family of Shells of Similar Shape;
46. Odem, C.T. A Revised Drag Coefficient, KD Based on the 8 Inch HowitzerShell, HE M106. BRL Memo Report 1065, April 1957, AD132170.
24
47. Odem, C.T. Drag Coefficient of HE Shell for the New Series of Field ArtilleryWeapons. BRL Memo Report 1013, July 1956. AD105611.
48. Picatinny Arsenal, Dover, New Jersey, Aeroballistics Branch Files.49. Piddington, M.J. Ihe Aerodynamic Properties of a Caliber .223 Remington
Bullet Used in the M16 (ARI5) Rifle. BRL Memo Report 1758, June 1966.AD489960.
50. Piddington, M.J. Comparitive Evaluation of the 20mm Developmental Ammunition- Exterior Ballistics. BRL Memo Report 2193, May 1972.
51. Piddington, M.H. Deformation Characteristic of One Lot (LC SP412) of 5.56mmM-193 Ammunition. BRL Memo Report 2016, October 1969. AD862966.
52. Piddington, M.H. Some Aerodynamic Properties of a Low Velocity Projectilewith a Hemispherical Nose and L/D of 4.3. BRL Memo Report 1639, April 1965.AD47237].
53. Piddington, M.H. Aerodynamic Properties of a 20mm HE-T Projectile for VRFWS.BRL Memo Report 2000, July 1969. AD859054.
54. Piddington, M.H. Aerodynamic Characteristic of the 7.62mm NATO AmmunitionM-59, M-80, M-61, M-62. BRL Memo Report 1833. March 1967. AD815788.
55. Roecker, E. Large Yaw Firings of the 20mm HEI, T282E1 Shell with Fuze T196at Mach Number 2.3. BRL Memo Report 888, April 1955. AD068718.
56. Roecker, E. Aerodynamic Characteristics of 30mm HEI Shell T306 ElO. BRLMemo Report 1098, August 1957. AD152952.
57. Roecker, E. The Aerodynamic Properties of the 105mm HE Shell, M1 in Subsonicand Transonic Flight. BRL Memo Report 929, September 1955. AD078604.
58. Roschke, E.J. The Effect Nose Truncation on the Aerodynamic Properties ofthe 9 Caliber AN Spinner Rocket Near Sonic Velocity. BRL Technical Note 902,May 1954. AD061551.
59. Roschke, E.J. The Drag and Stability Properties of the Hemispherical BaseShell, 75mm, T50E2. BRL Memo Report 927, September 1955. AD079488.
60. Sears, E.S. An Empirical Method for Predicting Aerodynamic Coefficients forProjectiles - Drag Coefficient, AFATL-TR-72-173, August 1972.
61. Schmidt, I.E. The Dynamic Properties of Pure Cone and Cone Cylinders. BRLMemo Report 759, January 1954. AD030249.
62. Schmidt, L.E. The Aerodynamic Properties of the 7-Caliber Army-Navy SpinnerRocket in Transonic Flight. BRL Memo Report 775, March 1954. AD035840.
63. Schmidt, L.E. Aerodynamic Properties of 4.9 Calibers Long, Square BasedShell at Transonic Speeds. BRL Memo Report 824, August 1954. AD047993.
25
- . .'~ -
64. Scott, W.E. The Effect of a Rotating Band upon Some Aerodynamic Coefficientof the Seven Caliber AN Spinner Rocket at M=l.8. BRL Memo Report 1302,September 1960. AD246223.
65. Scott, W.E. Some Aerodynamic Properties of a 105mm Model of the 155mm T-358Shell. BRL Memo Report 1369, September 1961. AD267268.
66. Watt, R.M. Free Flight Range Tests of Blunted 4, 4.5, and 5 Caliber Bodiesof Revolution with Secant-Ogive, Tangent-Ogive, and Conical Nose Shapes.AEDC-TR-71-166, December 1971.
67. Watt, R.M. Free Flight Range Tests of an Improved 20mm Shell. AEDC-TR-70-289,January 1971.
68. Whyce, R.H. Spinner - A Computer Program for Predicting the AerodynamicCoefficient for Spin Stabilized Projectiles. General Electric TIS 69 APB3,August 1969.
69. Whyte, R.H. Effects of Boattail Angle of Aerodynamic Characteristics of175mm M437 Projectile at Supersonic Mach Numbers. PATM 1646, September 1965.
70. Whyte, R.H. Spinner - A Computer Program for Emperically Predicting theAerodynamic Coefficients of Spin Stabilized Projectiles, Picatinny ArsenalESL IR 319, February 1967.
71. Whyte, R.H. Dispersion of Projectiles as a Function of Physical and Aerody-namic Properties. General Electric, Burlington, Vermont, Advance MunitionReport, January 1970.
72. Winchenbach, G.L. Free Flight Range Tests of Basic and Boattail Configurationsof 3 and 5 Caliber and Spinner Projectiles. AEDC-TR-70-12. March 1970.
73. Winchenbach, G.L. Free Flight Range Test of the 20mm M56A2 Shell with aModiiied M505E3 Fuze. AEDC-TR-67-108, June 1967.
74. Wincnenbach, G.L. Free Flight Range Tests of the 20mm M56A2 Shell with theM505E3 Fuze. AEDC-TR-65-258, January 1966.
75. Winchenbach, G.L. Free Flight Range Tests of a 25mm Shell with the M505A3Fuze. AEDC-TR-71-62, April 1971.
26
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APPENDIX A\
CURVE FIT TECHNIQUE
171
CURVE FIT TECHNIQUE
The method used to perform least squares fits to the experimental
data using the empirical equations was a GE Time Sharing computer program
code name LSQMM. This program was utilized with the GE415 computer at
the Armament Systems Department. The brief description starting or the
next page of this program was extracted from the following reference.
Numerical Analysis Routines #807231A
Information Service DepartmentGeneral Electric CompanyBethesda, Maryland
Issued August 1968 (Revised Feb. 1969)
7
72
LSQMM'Iii', i outint dt-terines the coefficients A Q,JI-I,2, .. N of the function
F (I), , fA ? 1,2 A Q I =1,2 .. M
which detormines the hi-,t .ippiotximation of the fun'-tion V (I) in either the weighted leastsquares sense or the muli-max sense.
UsageThe c..ling sequence for this coutine is:
CALL LSQMM(PI'i \,A,HW,M,N,NT,NS,AM,IDIMM,IDIMN)
where,
*PHI is the N(, imensionial array, PHI(MN, N),. of coordinate funcklons which are sup-pliedj 1)% thl( 'jL,. The kth column~j of PHI contains the kth coordinate function evalua-a* ed at each (f the data points (i.e., - PHI(I~k , I - 1, 2, . .~ ., M).
*Y is the one dimnisiondi array, Y(M), containing the dependent variables.*A i, the one diniersional irra%, A()The A array cwi A i's thit ( efficient s A(J) of the function F(I).
*RW is the nane, "4, an arra containting the residuails R(! Y(I)- F(!), the weilhts W(I),and temporal ;tora-e to Lave the vertical weia-hts %hile doing the horizontal itera-tioiis. It should cioitain at least 3 *M locations.
*M IS thet numb11er of data points.*N i,, the number of coefficients, i.e., number o1 coordinate functions.*NT is the maximumin number of vertical iterations. For least Squares fit, NT = 1.*For least Squares fit and when there is no division of the data points in min-max.,
NS(l) =M. Otherwise, NS is the array containing the index values of the ends of thesections when Lusint', mmn-max fit,
*AM is a t~o chniensional arrav. AM(N,N , used internally to contain the n'atrix ofthe s\ st err of I IT'ar equations.IDIMMN i,, th'- first dim ense 'n of Pill, i.e., PHI1 IDIYIN N)'.IDININ .. the first dimension of AI, i.e., AM(IDIMN,N).
DiscussionM 1
If the user wishes to, minimize 1.1w [Yiix F '1 w 0, miodif\, the PHI and Y arrays
as follows:
0w JH(1 j.........)wPH(1N
PHI V2
L M'PM Pil FII-). .. .. .. .. ..... w \IPHI(M,;;N)
AL 2IY (3)
73
Sample Problem
Find the ,,eeond ifr orn pelvyonjial F A3 ,2 A2 , A , which htst fits the lolinwig datain the least squares where M 9,. N 3, ',.T- 1.
X 4., -3. -2. -1, 0., 1., 2.:, 3., 4.
Y - 2., -3., - b -7.:, -6-, -3., 2., 9., 18.
Solutiov is F X - 2X-6,
Sample Solution
NEWNET FILE NAME--EXAMPLEREADY
10 COMMON PHI(9,3).X(9),A(3),Rh(27)20 COMMON AM(3,3)PY(9)*YA(9).NS 1)30 DATA M#N.NTNS/93*I.9/40 INPUT,(X(I)#I=I.M)50 INPUT, (Y( I), Ia1,M)60 CALL PHII(M*N)70 CALL LSOMM(PHIY.A.RW,M,NNTNS.AM,9,3)80 DO 40 I=IM90 YA(I)-0.0100 DO 30 JaIN110 30 YA(I)=YA(I)¢A(J)*PHI(IJ)120 40 CONTINUE130 PRINT 100140 1O0 FORMAI(" X F(X) Y-F(X) A(N)150 l ".)
170 DO 50 I=IN180 50 PRINT 60,X(1),YA(I)PRW(I).A(I)190 60 FORMAT(4EI3.4)200 K=N+1210 DO 70 I=KM
CommanderAir Force Armament LaboratoryATTN: Mr. F. Burgess 32
Mr. C. Butler 33Technical Library 34
Eglin Air Force Base, FL 32542
CommanderAir Force Weapons LaboratoryATTN: Technical Information Section 35Kirtlarsk Air Force Base, NH 87117
88
Co-ananderDefense Documentation Center
Cameron StationAlexandria, VA 22314 36-37
ConmmanderAir Provino Ground Center (PGTRI)ATTN: Technic,: Library 38
Mr. F. Burgess 39Mr. E. Sears 40
EglIn Air Force Base, FL 32542
CommanderU, S. Naval Weapons LaboratoryATTN: Mr. C. Wingo 41
Dr. W. Kemper 42Mr. J. Roman 43Mr. Moore 44
Dahlgren, VA 22314
General Electric CompanyAiTN: Armament Systems Department 45-50Burlington, VT 05401
CommanderFicatinny ArsenalATTN: STIB
Dr. E. Sharkoff 51-55Mr. S. Kravitz 56Mr. V. Lindner 57Mr. S. Wasserman 58Mr. J. Gregorits 59Mr. J. Dubin 60Mr. A. LoPresti 61Mr. .. Loeb 62Mr. D. -rtz 63-72Mr. R. Kline 73-77
Dover, NJ 07801
89
DOCUMENT CONTROL DATA -R & D(Se-.,,ty ,f rtle, bod) vt ab.1,4, I and indexing annotefion m.,,t b0e ntered wIhen the veI'roll report i. classified)
i oRj c,-A riN G AC 'VI TV (orporate alhot) Ide. REPORT SECURITY CLASSIFICATION
JNCLASSIFIEDArmament S;Y:stems Department 2bGRUGeneral etro.r 0
3 RF ORT TITLE
Spin-73 An Tipdated Vers-on of theSpinner Computer Progran
6 REPORT OA'0 74. TOTAL NO OF PAGS = 17b NO OF REFS
NOVEMBER_1973 89___________75______
4CONTRAC -OR CkNN NO 94 ORIGINATOR'S REPORT NUWBER(S)
DA.!AA21-73 -C-,033b. PROJLCT NO Technical Report 4588
AM1CMS code No. 554C.l2.62000_____ _____________
C. 99 OTHER REPORT NOMS (Any othrrnumbere that may be assignedtis report)
10 I.SRIBTIO STTEMNTDistribution limited to U.S., Government agenAies only (test andevaluation, November 19?3) . Other requests f:)r this doeument must LE, referred toPicatinny Arsenal,~ Dover, N.J. . ATTN 9APPA-TS--T-r,.
it SUPPLEMENTARY NOTE:S 12 *PONSORING MILITARY ACTIVITY
The SPINNEI. corputer program has been updated to compute aerodynamiccoe-1ffcients tb'r a wide varict:, o-f spin stabil2zed projectile shapes.Improvemerts ovolt the original program are substantial as ogiveradius, met-iat. di:moe_r and rctating band diameter are account-' forinstead of assumru"q mear 'iia. Test cases are shown compar the1969 SPINNER, the _1973 .EPIN1,NER and experimental data. Input instruc-tions ard s-imple >rograim uuitputs are given along with the 1973 programnlisttnq.
3% 1% ~em 'S 01 96PLACIR. 00 I..I'. 147. I JAN4 64. WHICH IS
Security Clslfication
ONCLASS I FI EDSoicurity ClassificatIon
14 LINK A LINK 6 LINK CKEY WORD S
ROLE WT ROLE WT ROLE WT
Projectile
Spin StabilityComputer AnalysisDragPitching Moment
Magnus
Damping
SPINNER
i
UNCLASSI FIED.ewity claasifcation
DEPARTMENT OF THE ARMYUS ARMY RESEARCH. DEVELOPMENT AND ENGINEERING COMMANDARMAMENT RESEARCH, DEVELOPMENT AND ENGINEERING CENTER
PICATINNY. NEW JERSEY 07B06-5000
TECHNICAL REPORT DISTRIBUTION CHANGE
The distribution statement for the below technical paper is to be changed to I -
Approved for public release, unlimited.
Title: SPIN-73 an Updated Version of the SPINNER Computer Program
AD Number: AD0915628Report Date: November 01, 1973
(Signature) (date)
Robert E. Souders
Security SpecialistDPTMS 973-724-4058DSN 880-4058US Army Garrison, Picatinny Arsenal