4 - Memorial University of Newfoundland DAI

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tained f~om the acaled model of tbe structure, it is n-sary that tLex son- dimensional ratice presented in equations (4.19) and (4.20) innve tlne anme (or ippmximately the same) value in both the model and lhc pmtotypc. Tinin means that (subscripts m and p refer tu n~odel and protutypc, reapcctivcly) : in order for and (.1.21) (4.27) ((.a)
That is, equations (4.28) and (4.29) are truly justified if and only if equations (.1.22) lo (4.21) arc satislied rimuitaneously6. On many occasions, howevm, it may not be possible to satisfy this condition. A summary of thedifficulties involved in atlompting to satisfy the above requirements is presented in the rollowing scetion. 4.5 Difficulties Associated with Hydro-Elastic Modelling Dillicuities arise when atlompting B model the s-9--tmcture intermlion. 'Pijeso arc rolntod, fundamentally, to the praetieal impossibility of using any liquid olher than water in the model, and to the ptahlem that gravitational aecolcratim is thc same in both the model and prolatype. These difficultiese may ho dcseribcd as: I. the dillorcnl relations betweon period and geometry due to periodic motions governed by gravity and inerlia forces and with that governed by elastic and inertia forces (i.e., C, = T.E, and C, = T ~6). T. and T. represent the period of the wave and structure, respectively, wililc C, (i.c., Phoude's Low) and C, are arbitrary constants' char" la represent the dimensionless products-the other variables have been orcviouslv defined: 'If tho maximum value of FC or ul is ddmd ilutcad of the in&rtanlous values, cq8mLiou (4.27) should be uriudcd-ir.. the dinenaionleu lime ratio. 'TL roil-airuelm inlamdion, which alacallaea serious prohim3 in modellin. is not wmidercd 1" ,Ill8 L.""L,ae. 'Fbr the dnntio nod inerlia farm (a,&, fm vibration dd.alic atructurca in air), the rarinble involved (L.,p..E, and T.) wmbine to give Lho dimmaionlw produd C..
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NOTICE The quallty of this microfor
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I*I Et"" :lbL="*"" k.. bpilmsa7d Di
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Acknowledgements I should like lo t
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Abstract As a result of the increas
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Contents List of Figures xii List o
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4.6.3 Fnbrieatiox of tllc Rcduced M
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A Selected Algoilthma 278 A.1 Diago
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4.5 Member Configuration at level #
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7.21 Dynamic Mode # 6 (Intact Model
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7.49 Typical Measured lnput Wnve Sp
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7.66 hulls fmm Accelerometer A2 due
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D.ll DynamicMode # I (Intact Model)
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List of Tables 4.1 Symbols, Units a
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8.9 Pacent Changes in Resonant Frrq
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List of Symbols d(k) .i(k) A A(L1 1
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autosp~trni density of r(t) cms-spe
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0,1,2
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[@I a Pu. P. P:,," P.. o2(k) instan
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een recorded, then it is beneficial
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Associated with every vibration mod
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Such s model is called a dynamicall
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presenlcd. Chapter 3 contains the t
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al frequcncic. occurred when member
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detwM from the data roeorded (later
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y Duggan d a!. [a]. This study inve
Page 56 and 57: ~~lidity of the results war rompsro
Page 58 and 59: nic~~~aan:immcdiateiyuseful, they a
Page 60 and 61: tlncayatem hehavior oftrusswork pla
Page 62 and 63: Chapter 3 Theoretical Modelling Tll
Page 64 and 65: 3.2 Wave Theories Works by earlier
Page 66 and 67: F;-RY% WAVE THEORY) 1/20 I "w/Lw DE
Page 68 and 69: DIRECTION OF WAVE PROPAGATION FIG.
Page 70 and 71: liero, d and ita wlocity component
Page 72 and 73: and and a+ "=-. OY = wA~inl~IW(1+ s
Page 74 and 75: FIG.3.4 ARBITRARILY ORIENTED CYLIND
Page 76 and 77: ~i n long c mtd wave is being conai
Page 78 and 79: inrther. Ultimately, the resulting
Page 80 and 81: equcncia and mode shapes, equalion
Page 82 and 83: Toestablish tho relationship betwee
Page 84 and 85: Furthermore, from equation (3.56),
Page 86 and 87: lG.3.6 SIMULATED 3-D AND STICK MODE
Page 88: 1. priam&tic heam members, 5. sir d
Page 92 and 93: The equation of motion for each ele
Page 94: From tho ~tatic dispiaeemont muita,
Page 97 and 98: instance, the non-dimensional equal
Page 99 and 100: functional relationship relating th
Page 101 and 102: whcre F, 't iinstantanmua force at
Page 103 and 104: Table 4.1 Symbols, Unit. and Dimens
Page 105: thc Buckinghm r-Thmrem (i.c., I2 te
Page 109 and 110: C. Ilence, if the dynamic amplifica
Page 111 and 112: where (2) is the general gmmdric or
Page 113 and 114: the prolotype. Damping is dcfincd b
Page 115 and 116: 2 LEVEL # 7 1 28956DO NOTE: ALL DIM
Page 117: Mataial= Structural Steel, E = 206.
Page 122 and 123: LEVEL C6 NOTE: ALL DlMENStONS IN m
Page 124 and 125: Table 4.5 Relevant Materiel Propert
Page 128 and 129: FlG.4.9 COMPLETED STRUCTURE. 89
Page 132 and 133: Since the de& sertioo of the struct
Page 134 and 135: % FINITE ELEMENT ANALYSIS (COMPUTER
Page 136 and 137: 3 53 I CONTROL RM SECTION A-D. MEZZ
Page 139 and 140: I I SERVO CONTROLLER MODEL 408.1% j
Page 141 and 142: LEGEND FI B F2 FREE VlBllTlDN INITI
Page 144 and 145: 5.1.4 Response Circuit Data acquisi
Page 146 and 147: I ~T.UG~U~E LEGEND: DYIIYT I., 10 A
Page 150 and 151: the basis upon which the irregular
Page 152 and 153: then manipulated by the computer ro
Page 154 and 155: ,.. G STRUCTURE IN STILL WATER STRU
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dter every set of hen wave excitati
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To gather spectral information fmm
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is the timelag between silrnplev~l~
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ics, with a lew notable exceptions,
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If bath aides of the dove cguntion
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Conversely, r(1) can be estimated b
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quires ahout N(M + 1) + 9Y1 arithme
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So equation (6.18) become: I, i = C
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At each resonant frequency, the hdl
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6.5 Impact Testing Impact testa wer
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Chapter 7 Theoretical and Experimen
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Table 7.1 Natural Wequeney Comparis
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Therefore, with the natural freluen
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Pi7 Be: kD! SF:& iid id . -5 i#@ Ba
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(i.o., at noder 6, 12, 18, 22 and 2
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tirne dntn;lis reprcsez~lnlioti of
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-CUI~IW~~~ anstmr 9~1sn-mmu3n DL um
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the posilivc and nogntivr peaks. Re
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Table 7.7 X-Direction Results From
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2 GEhEnnlEO FRDM TdE WrllTE hOISE l
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FIG. 7.53 MEASURED INPUT WRVE FROM
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'IUnU133dS 3SIR1 31IHI 9NISn--91 30
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Table 7.9 MEM Damping Estimates fro
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7.2.3 Impact Test Results In Chsptc
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(K 01 0 01- OZ- DE- 0,- OBI (KI 09
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Chapter 8 Discussion of Results In
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of rnemhcr removal can he visually
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emoved is a cancellation offecl, an
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Force Variation Along the Jacket. P
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fi~t on the lower rrequency end of
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pond approximately to thasc which c
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'Ikble 8.1 Measured Resonant Rsquen
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Table 8.6 Measured Resonant Wequenc
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After a close look at the measured
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Table 8.11 Percent Changes in Reson
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Table 8.16 Percent Changes in Reson
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apprmiably. Since the tmnsa of the
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'*~+12 \5 \8 h4 h7 $0 FREOUENCY IHz
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8.2.4 Impact Test Results 'l'incobj
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I able 8.20 Comparison of the Reson
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'Phc invalidity of thc lumped mass
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Chapter 9 Concluding Remarks and Re
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general agreement. 5. An investigat
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mode, br example, might have been e
Page 303 and 304:
References K I'o,lnt~n~. 'A Sludy o
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[21] .I.K. Vandiver, "Structo~ral D
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1431 D.J. Kartewcg and G. d-Vria "O
Page 309 and 310:
1671 I..S. Marplo, "A NCW Autorepes
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(111 J. Zhou "Ocean Wave Simulation
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[Ill M.C. Ilallsm, N.J. Hcaf and L.
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Appendix A Selected Algorithms Tllr
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- M = the total mass of the slructu
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Suhrtituting qualion (A.5) in equal
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..3 Longuet-Higgins and Cokelet Smo
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Appendix B Sample Calculations Typi
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The dcnsity of ABS plsstic (p.,,) i
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C.l Calibration and Instrumentation
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D.l Mode Shape (Members 70 and 68 R
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D.2 Results for an Impact Initiated
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i W 4 P Li I 2: 5: E B '5 2- d :" i
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oa m 01 o or- QZ- oe- om Q Z ~ oo a
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D.3 MEM Damping Estimates for the D
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Table D.4 MEM Damping Estimate. fro
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4 - Memorial University of Newfoundland DAI

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