4 - Memorial University of Newfoundland DAI

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The ratio characterizes the still wnter depth. Since tltrce vnrinblw L. L., H., and T. are inlerdependent, only two c m be urrd to dclinr the rvnvc. Ofton tho variables2 H, and Tw are chase", nnd L, is clotermitld ns a hne- tion of them in addition to the ratio 4 The failowing scctios is co.onrcrttrcl H.' with a fixed but Aexible atructt~m inn deep or inlermedi~te deptll svatcr, xtnl is subjected to progressive gravity wavea (clnaaified nr ahort wnura). 4.3 Modelling the Sea Structure Interac- tion The variables involved arc: (a) structural variables L.,p.,E,(, and shape ratios of the type 0, and (where I) nnrl d rcpm- .t the c~terior d:umeie4knd wii tllirkncs9 mollll,,!r, mpectively), 3, ', and 2 (cmnlinatc~ ol tllo drtt
whcre F, 't iinstantanmua force at time t, ", inltantanmus displacement at time t, B = modulus of elasticity of the structural material, 8 = gravitational acceleration, v = kinematic viscosity of the liquid, 11. = wave height, Tm = wave perid in anonds, 1 = timc, p. = densily of liquid, 1,. = characteristic length of structural component being invetigated, p, = clcnsity of structural component, and { = rtructurai damping ratio (non-dimensional). Dcsides tho shapc ratios, there are eleven variables from which the functional rolnlionshio can be formed: The homogeneous equation is given as: Since ( and the shape ratios are dimensionless, they are ignored fmm the dimensional analysis, with the understanding that they will reappear after the above qt~ation has been non-dimensionalized. 62
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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
Page 50 and 51: al frequcncic. occurred when member
Page 52 and 53: detwM from the data roeorded (later
Page 54 and 55: 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: functional relationship relating th
Page 103 and 104: Table 4.1 Symbols, Unit. and Dimens
Page 105 and 106: thc Buckinghm r-Thmrem (i.c., I2 te
Page 107 and 108: That is, equations (4.28) and (4.29
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
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the basis upon which the irregular
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then manipulated by the computer ro
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,.. 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
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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
Page 311 and 312:
(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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