ad/a-002 233 uss t. r. applebee, et al - dticad/a-002 233 response amplitude operator predictions...

AD/A-002 233

RESPONSE AMPLITUDE OPERATOR PREDICTIONSFOR THE USS BELKNAP (DLG-26) AND USSJOSEPH HEWES (DE 1052) CLASS DESTROYERS

T. R. Applebee, et al

Naval Ship Research and Development CenterBethesda, Maryland

November 1974

DiSIRIBUTED BY:

National Technical Information ServiceU. S. DEPARTMENT OF COMMERCE

Thr Novel Ship Research and Di-elopment Center 1% ai I]. S. Navy center for laboratoryeffort disrcted at achieving improved %CM uand air vehicle%. It was formed in March 1Q67 bymerging the David Taylor Model Bain iat Carderock, Maryland with the Marine nigsineeringLasboratory at Annapolis. Maryland.

Naval Ship Research and Development Center

Bethesda, Md. 2G034

MAJOR NSRDC ORGANIZATIONAL COMPONENTS

j NSRDC*REPORT ORIGIN4ATOR TECHNICAL DIRECTOR

SYSTEM5DEVELOPMENTDEPARTMENT

S5,P PEPFORArCf, A'T N

O~NPAP TENT

ST P UC Tipf S CMUATO

DfPARTMFNT AND YATHEMAT'CS

Sf0' ACOUST'(, U!ARSYTM[1 f)[[PARTMM[ TV . IA ETA

SECURITY CLASSI ICATION OF TillS PAGE (10bon /)Me/t.ree AT) 1CREPORT DOCUMENTATION PAGE I ' D C-MLETRUC. ORM

, -. I FFORE coMPLE-T c. FORMI. REPORT NUMB1ER 2. GOVT ACCESSIO NO. 3. NECIPIEN r'S CATALOG NUMMER

SPD-590-014. TITLE (and Subtitle) S. TYPE OF REPORT & PERIOD COVEREO

RESPONSE AMPLITUDE OPERATOR PREDICTIONS FOR THEUSS BELKNAP (DLG-26) AND USS JOSEPH HEWES (DE-1052)CLASS DESTROYERS 6. PERFORMING ORG. REPORT NUMBER

7. AUTHOR(e) 4. CONTRACT OR GRANT NUMBER(@)

T. R. Applebee and A. E. Baitis9. PERFORMING ORGANIZATION NAME AND ADDRESS 10. PROGRAM ELEMENT. PROJFCT. TASK

AREA A WORK UNIT NUMBERSNaval Ship Research and Development CenterBethesda, Maryland 20084 Work Unit No. 1-1568-012

11. CONTROLLING OFFICE NAME AND ADDRESS 12. REPORT DATE

Naval Air Engineering Center November 1974Philadelphia, Pennsylvania 19122 13. NUMsE p F PAGESCode NI-23 -__

74. MONITORINt. AGENCY NAME A ADDRESS(II dillerent from Controllnig Ofllice) IS. SECURITY CLASS. (of this Iepo-1)

UNCLASS IFIED15a. DECLASSIFICATION/DOWN GRADING

SCHEDULE

16. 7STRIDUTI STATEIAE'NT (of (his R,)por)

Approved for Public Release: Distribution Unlimited

17. DISTRIBUTION STATEMENT (of the ab tacI enteedln Block 20. ft dilfeont from Report)

jIS. WPPLEMENTARY NCTES

19. KEY WOROF (Cntlnue on teverse aide lInoce.aawy and Identlfy by block numb*:)

Response Amplitude Operators, Ship/Helicopter Interfa-e, LAMPS HelicopterOperation, Ship Motions at Arbitrary Position of Ship, Destroyers

20, ADS rRACT (Continue oni rover** 4,d. If neceasmey and Identify by block numbs)

The purpose of this investigation is to predict the response amplitudeoperators (squared transfer functions) for the DLG-26 and DE-1052 ClassDestroyers. The response amplitude operators, RAOs, are computed for the shipsin LAMPS (Light Airborne Multipurpose System) configuration and are to be usedfor ship motion predictions in ship/helicopter interface design. Motionresponse amplitude operators are presented for speeds 10 and 20 knots, at shipheadings relaLive to the sea of 0, 30, 60, 90, 120, 150, and 180 degrees (180degrees denoting head seas).

DD JAN 73 1473 EDITION OF I NOV 65 IS OBSOLETE! UNCLASSIFIEDS/N 0102-0,4-660 41

SECURITY CLASSIFICATION OF THIS PAGE (Whon Dal& B.tered)

RESPONSE AMPLITUDE OPERATOR PREDICTIONSFOR THE USS BELKNAP (DLG-26) AND USS JOSEPH HEWES (DE-1052)

CLASS DESTROYERS

by

T. R. Applebee

and

A. F. Baitis

APPROVED FOR PUBLIC RELEASE: DISTRIBUTION UNLIMITED

SHIP PERFORMANCE DEPARTMENT

November 1974 Report SPD-590-01

TABLE OF CONTENTS

PageABSTRACT ........................................................... 1

ADMINISTRATIVE INFORMATION ......................................... 1

INTRODUCTION ....................................................... 1

SHIP PARTICULARS ................................................... 2

APPROACH ........................................................... 2

RESULTS ............................................................ 3

APPENDIX - SUMMARY OF INVESTIGATION ................................ 12

REFERENCES ......................................................... 41

LIST OF FIGURES

Figure 1 - DLG-26 Response Amplitude Operators, 10 Knots ........... 6

Figure 2 - DLG-26 Response Amplitude Operators, 20 Knots ........... 7

Figure 3 - DE-i078 Response Amplitude Operators, 10 Knots .......... 8

Figure 4 - DE-1078 Response Amplitude Operators, 20 Knots .......... 9

LIST OF TABLES

Table I - Ship Particulars and Computer-Fitted Body Plan forthe DLG-26 in LAMPS Configuration ........................ 10

Table 2 - Ship Particulars and Computer-Fitted Body Plan fortiie DE-1078 in LAMPS Configur3tion ....................... 11

Table 3 - DLG-26, Response Amplitude Operatirs, 0 Degrees,10 Knots ................................................. 13

Table 4 - DLG-26, Response Amplitude Operators, 0 Degrees,20 Knots ................................................. 14

ii

PageTable 5 - DLG-26, Response Amplitude Operators, 30 Degrees,

10 Knots.............................................. 15

Table 6 - DLG-26, Response Amplitude Operators, 30 Degrees,20 Knots.............................................. 16

Table 7 - DLG-26, Response Amplitude Operators, 60 Degrees,10 Knots........................................................ 17




Table 11 - DLG-26, Response Amplitude Operators, 120 Degrees,10 Knots ........... ................................... 21


Table 13 - DLG-26, Response Amplitude Operators, 150 Degrees,10 Knots............................................. 2



Table 16 - DLG-26, Rep.ponse Amplitude Operators, 180 Degrees,20 Knots.............................................. 26

Table 17 - DE-1078, Response Amplitude Operators, 0 Degrees,10 Knots.............................................. 27

T-able 18 - DE-107F, Response Amplitude Operators, 0 Degrees,20 Knots.............................................. 28

Table 19 - DE-1C78, Response Amplitude Operators, 30 Degrees,10 K.aots .............................................. 29


Table 21 - DE-1078, Response Amplitude Operators, 60 Degrees,10 Knots ............................................... 31

iii

PageTable 22 - DE-1078, Response Amplitude Operators, 60 Degrees,

20 Knots.............................................. 32


Table 24 - DE-lO7to, Response Amplitude Operators, 90 Degrees,20 Knots............................................... 34

Table 25 - DE-l078, Response Amplitude Operators, 120 Degrees,10 Knots................................. .......... 35


Table 27 - DE-1078, Response Amplitude Operators, 150 Degrees,10 Knots............................................... 37

Table 28 - DE-1078, Response Amplitude Operators, 150 Degrees,A20 Knots.............................................. 38

Table 29 - DE-1078, Response Amplitude Operators, 180 Degrees,A10 Knots ............................................... 39

Table 30 - DE-1078, Response Amplitude Operators, 180 Degrees,20 Knots............................................... 40

IV

NOTATION

L Ship length

LA Lateral displacement

L0 Longitudinal displacement

Vertical displacement

px, pe, p* Phase differences, (angles) for surge, pitch, and yaw

R(t) Ship response to a sinusoidal excitation

RA Response amplitude

SR Ship motion spectral density

S Pierson-Moskowitz spectral density ordinates

t Time variable

x*,y*,z* Coordinates of any point measured from the origin of thecoordinate system

X Surge

CPhase angle

AWavelength

0 Pitch

Yaw

W Wave frequency

WE Wave frequence encounter

EV

ABSTRACT

The purpose of this investigation is to predict the response amplitude

operators (squared transfer functions) for the DLG-26 and DE-1052 Class

Destroyers. The response amplitude operators, RAOs, are computed for

the ships in LAMPS (Light Airborne Multipurpose System) configuration and

are to be used for ship motion predictions in ship/helicopter interface

design. Motion response amplitude operators are presented for speeds 10

and 20 knots, at ship headings relative to the sea of 0, 30, 60, 90, 120,

150, and 180 degrees (180 degrees denoting head seas).

ADMINISTRATIVE INFORMATION

This investigation was performed at the Naval Ship Research and

Development Center (NSRDC) and authorized by the Naval Air Engineering

Center (NAEC) Project Order 5-4007. It is identified as Work Unit Number

1-1568-012.

INTRODUCTION

Using a computer-implemented procedure, the ship motion response

amplitude operators were predicted for the DLG-26 and DE-1052 Class

Destroyers in LAMPS (Light Airborne Multipurpose System) configuration;

that is, the ship conditions represent the cases for helicopter operations.

Although the RAOs were computed at a single, specific point on each ship,

simple transformations make it possible to obtain ship motions at any

arbitrary position on the ship (for example, on the helicopter platform).

The RAOs computed for

1. Ship headings of 0, 30, 60, 90, 120, 150, and 180 degrees

2. Ship speeds of 10 and 20 knots,

are presented in both tables and figures.

SHIP PARTICULARS

The ship particulars, supplied by NAVSEC Code 6136 and 6134B, and

computer-fitted body plans for the DLG-26 and the DE-1078 (a member of the

DE-1052 Class) are given in Tables 1 and 2, respectively. it should be

noted that the E'ip particulars represent the ships in LAMPS (Light Airborne

Multipurpose System) configuration conditions.

APPROACH

The RAOs were determined using the NSRDC Ship Motion and Sea Load1

Computer Program. This program utilizes the calculation procedure described

by Bales, Meyers, and Rossignol. 2 That is, the ship response, R, to a

sinusoidal excitation of unit amplitude for a given wave encounter frequency,

WE is taken as

R(t) = RA cos (wEt - C) (1)

where t is the time variable, E is the phase angle (lag with respect to the

maximum wave elevation at the origin), and RA is the response amplitude

(frequency response function). Further, it should be noted that the ship

motion spectral density, SR9 is

SR(w) = [RA(u)] 2 . S (w) (2)

where S (w) is the irregular wave spectral density and [RA ()] 2 is the RAO.A 2

Equation 2 may be used to determine the ship motions in a seaway ; however,

it should be noted that the realism of the predicted ship responses will

be strongly affected by the model of the wave spectrum selected. It has,

Meyers, W.G., D.J. Sheridan and N. Salvesen, "Manual NSRDC Ship Motion

and Sea Load Computer Program," NSRDC Report 3376 (in preparation).2 Bales, S.L., W.G. Meyers and G.A. RossIgnol, "Helicopter Landing

Platform Response Predictions of DLG-26 and DE-1040 Class Destroyers,"NSRDC Report 3868, July 1973.

2

been established frequently by different authors that the single parameter

Pierson-Moskowltz wave spectrum is an inadequate wave spectra model for

many ship motion problems.3' 4,5,6,7

RESULTS

Tables 3 through 30 in the Appendix present the ship response amplitude

operators with respect to WE, wave encounter frequency, X/L, wavelength/ship

length, and L/A. The dimension of WE, identified as WE in tables, is radians/

second. The RAOs for surge, sway, and heave are in feet 2/feet 2 , and for roll,

pitch, and yaw in degrees2/feet2. The phase angles are in degrees. Ship

heading angle to the waves is defined as 180 degrees for head waves, and

150 degrees for waves approaching the ship from 30 degrees off the portbow.

The RAOs were computed at the intersection of the longitudinal center-

line at the waterplane section with the transverse plane through the center

of gravity. Responses at other points along the ship can be found by using

the data in the tables and equations (15) of Reference 2, i.e.,

LO = x - y* + z* 0, (longitudinal)

LA = y - z* + x* p, (lateral)

LV = z - x* 0 + y* , (vertical) (3)

Hadler, J.B. and T.H. Sarrhin, "Seakeeping Criteria and Specifications,"SNIME Seakeeping Symposium, Webb Institute of Naval Architecture,October 1973.Baitis, A.E., S.L. Bales and W.G. Mey'rs, "Design Acceleration and ShipMotions for LNG Cargo Tanks," Tenth Syoposium on Naval Hydrodynamics,June 1974.Cummins, W.E., "Prediction of Seakeeping Performance," 17th AmericanTowing Tank Conference State of the Art Report - Seakeeping, June 1974.

6 Hoffman, D., "Analysis of Measured and C-lculated Spectra," International

Symposium on the Dynamics of Marine Vehicles and Structures in Waves,University College, London, April 1974.Hoffman, D., "Environmental Condition Representation," 17th AmericanTowing Tank Conference State of the Art Report - Seakeeping, June 1974.

3

Equation 3 represents the linear ship responses at a point (x*, y*, z*) in

a right-handed orthogonal coordinate system.

For example, the longitudinal displacement, velocity, and acceleration

at a point (x*, y*, z*) on a helicopter platform is found by applying the

above L0 equation for each wEi as follows:

1. Determine the dimensional transfer functions for surge, pitch, and

yaw:

xi = .Surge RAO i

e, = vfPitch RAO i/(180/T)= Yaw RAOiI(180/) (4)

2. Determine the phase differences for surge, pitch, and yaw (merely

converting to radians):

px= (Phase of surge)i/(180/r)

Pei = (Phase of Pitch) i(180/T)

= (Phase of Yaw)i/(180/7) (5)

3. Determine the real and imaginary parts:

Real = xi *cos(px i) + z* 0 • cos (p ) - y* cos(p)

Imaginary = x• sin(pxi) + z* . sin(p81 ) - y* sin(p i) (6)

4. Determine the amplitude and phase of linear displacement:

(Displacement Amplitude). = /(Real)z + (Imaginary)2

(DJsplacement Phase), = Arctan (Imaginary/Real) (7)

i

5. Determine the amplitude and phase of linear velocity:

(Velocity Amplitude)i a WEi (Displacement Amplitude)

(Velocity Phase), = (Displacement Phase) + 7/2 (8)

6. Determine the amplitude and phase of linear acceleration:

(Acceleration Amplitude), = WEi (Velocity Amplitude)i/g

(Acceleration Phase)i = (Velocity Phase) i + 7r/2 (9)

where g is the acceleration of gravity.

It should be noted that the amplitude resulcs, for each wEi' of steps

4, 5, and 6 are in the form of dimensional transfer functions. Hence, the

values should be squared in order to determine the RAOs at point (x*, y*,

z*). Also, by definition, x* is positive aft, y* is positive starboard,

and z* is positive upward. Further details are given in References i and

2.

Figures 1 through 4 present plots of the RAOs across wave frequency w.

Figures 1 and 2 present the curves for the DLG-26 at 10 and 20 knots, re-

spectively, across all headings. Figures 3 and 4 present the DE-1078

plots in an identical manner.

5

DI G 256 5PfEU 10 #qP' RAO PFFnf 90bE vEPu', flMFG

F f

/6

I I

-- _,I.

Figure 1 - DLG-26 Response An'plitude Oper'ators 10 Knots

O1G 26 SPEED - 20 X(NOTS ROO RESPONSES VERSUS OM(GQ

I!

VAC '1

Fiur 2 DL-6Rsos ApiueOeatr,2:n

\7

Hi N

L r

DE 1078 SPEED !0 KNOTS RAO RESPONSES VERSUS Of'ERG

-'! ... IJ"1. '__ _ .......

K!..:2 ,

J Z._L ...

Hf A[(IIN~j, {

Fi:lgure 3 -DE-1078 Resporsee Amplit~lude Operators, 10 Knots

82

5f 101$ SPEED - 70 K.NOTS RRJ RESPONSES VERSuS Of'[GA

a. *J:t t1''L, "l''.* ,=*w; Yt. "tJ' qL iI. aJ l

:1 -- ZO

%I

I II

.I

A AiSI! a

iFre7 N5 0f G

Figure 4 -DE-1078 Response Amplitude Operators, 20 Knots

9

TABLE 1 - SHIP PARTICULARS AND COMPUTER-FITTED BODY PLANFOR THE DLG-26 IN LAMPS CONFIGURATION

D.G 26 LAMPS CONFIGURATIONTABLE OF SHIP PARTICULARS

SHIP LENGTH(LOP) L 524.00 FEET LENGTM/BEAM 9.632MAAIMUM 8EAM* a S4.40 FEET BEAM/DRAFT 2.848MAXIMUM DRAFT* T 19.10 FEET RAFT/BEAM .351DISPLACEMENT w 7922 TONS*SW W/(.OIL)ee3 55.068DESIGN SPEED V 19.99 KNOTS FROUDE NUMBER .260

VERTICAL CG KG 20.02 FEET KG/BEAM .368"ETACENTRIC HT. GM 5.58 FEET GM/SEAM .103LONGITUD. CG*e LCG 6.64 FEET LCG/LENGTH 1025

ROLL GYRADIUS RRG 18.89 FEET RRG/BEAM .347PITCH GYRADIus PRG 131.00 FEET PRG/LENGTH .2S0Y14W GYRAD'US YRG 131.00 FEET YRG/LENGTH .250EST. ROLL PERIOb 8.86 SECS ROLL FREQ.(RAD) .709

TRANSOM WIDTH TW 29.20 FEET TW/HEAM *53?WATERPLANE AREA AWP 21063 50. FEET AWP"/(LB) .739WETTED SURFACE WS 32265 SO. FEET WS/(2LT*?ST+Lg) .638BILGE KEEL WS RWS 1538 SO. FEET BWS/WS .048

LONGITUD. CB** LCB 6.64 FEET LCB/LENGTH .025LONGITuiD. CF.. LCF -. 10 FEET LCF/LENGTH -. 000VERTICAL CB KB 11.29 FEET KW/BEAM .2J7METACENTER KM 25.60 FEET KM/BEAM .471

BLOCK COEFF. C63 .51SECTION COEFF. Cx .82PRISMATIC COEFF. CP .62

* AT STA. 11.00 oe AFT OF MIDSHIPS

• .1 / ,,,,,' , * ', , -, .. , / /a;a

I-- I f Ii , e I I 'I

*aa a -* I I Sd

10 , .. -. -- -10no- SALE: I.- a a a , , . .FEp

,, , , - -- . . . a a a , a , , , , p ,

101 10- aa1

1 0 ,, ' p .,. .. .. I , * a " , / , I. . /' ;-L . I--.-.. ".. -.. -.. - '/ ,, ,,-,- . ":

-- S 1 -

"'-..; r , ",, -. , i-STATION SPACING =26.60 FEET 'a """ •

20- SCALE: IINCH - 7.05 FEET , ,'

-[ ;_,._-' : _P~ 220 0 0 20

10

TABLE 2 - SHIP PARTICULARS AND COMPUTER-FITTED BODY PLAN

FOR THE DE-1078 IN LAMPS CONFIGURATION

DE 1078 LAWUS CONFIGURATIONTABLE OF SHIP PARTICULARS

SHIP LENGTm(LdPI L 41.00 FFET LENGTH/BEAM 8,944MAXIMUM ,EAMe 4 46*4U FEET BEAM/DRAFT 2.994

MAXIMUM ORAFT- T lb.5U FEET DRAFT/BEAM *334

DISPLACEMENT W 4179 TUNS.SW W/(.OIL)*03 56.o481ESIGN SPEED V ZO.O0 KNOTS FROUDE NUMBER .292

4E.QTICAL CG KG 17.bO FLET KG/BEAM .377

4ETACENTQIC HT. .3M 4.47 FLET GM/dEAM .096LONGITUO. CG** LCG -1.97 FEET LCG/LENT" -0009

ROLL GYPADIUS NRG 1.01 FEET RRG/BEAM .34SPITCH GYRADIuS PRG 103.7b FEET PRO/LENOTli ,250YA4 GYRAOIUS YHG 103.7b FEET YRG/LENGTM .250EST, ROLL PERIOD 8.39 SECS ROLL FREG,(RAD) .71.9

TRANSOM WIDTH Tw 35.60 FEET TW/HEAM .77

wATEPPLANE ARFA AwP 14245 SO. FEET AWP/(LB) .740

oETEED SuiPFACC Is 21098 SO. FEET WS/(2LT+e1JT#L) .629

RILbE nEEL wS HWS 435 SO. FEET RWS/WS .021

LONITUOD. CHO* LC8 -1.91 FEET LCH/LENbTH -.009

LONGIIU(. CF* LCF -.14 FrET LCF/LLNGTH -.001

vEPTICAL CH Kt, 9.03 FEEl Kd/PEAM .19S

METACENTEP KM 2!.91 Ft fT KM/bEAM .473

BLUCK CUEFF. CH .49SECTION COEFF. Cx .0IPRISMATIC COEFF. (P .61

AT STE. 11.00 *' AFT OF MIDSHIPS

,, ,I ", i. -__--____/___"_--_"___' __ '___ '___ " /____ /_____,,I , ,, - -.., I

, , , iT I , ; ;I I I I I I I

,,* , ... . . . . . .. , , /' , ,' I ,£

--- .8.6 ,' ,lip

S , 'If-- I , , ,"

- 10i0-. -. . ... 3 ] ', , - - -' ,- I

....-2 ... - S..... -

STATION SPACING = 20.75 FEET " ,

SCALE: I INCH = 6.19 FEET .,

I - I' , I

20 - 20

20 0 10 20

20 10

APPENDIX

SUMARY OF INVESTIGATION

12

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REFERENCES

1. Meyers, W.G., D.J. Sheridan and N. Salvesen, "Manual NSRDC Ship Motion

and Sea Load Computer Program," NSRDC Report 3376 (in preparation).

2. Bales, S.I.., W.G. Meyers and G.A. Rossignol, "Helicopter Landing Platform

Response Predictions of DLG-26 and DE-1040 Class Destroyers," NSRDC

Report 3868, July 1973.

3. Hadler, J.B. and T.H. Sarchin, "Seakeeping Criteria and Specifications,"

SNAME Seakeeping Symporium, Webb Institute of Naval Architecture,

October 1973.

4. Baitis, A.E., S.!. Bales and W.G. Meyers, "Design Acceleration and

Ship Motions for LNG Cargo Tanks," Tenth Symposium on Naval Hydro-

dynamics, June 19"

5. Cummins, W.F., "Prediction of Seakeeping Performance," 17th American

Towing Tank Conference State of the Art Report - Seakeeping, June 1974.

6. Hcoffman, D., "Aialysis of Measured and Calculated Spectra," International

Symposium on the Dynamics of Marine Vehicles and Structures in Waves,

University College, London, April 1974.

7. Hoffman, D., "Environmental Condition Representation," 17th American

Towing Tank Conference State of the Art Report - Seakeeping, June 1974.

41

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