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I I SERVO CONTROLLER MODEL 408.1% j CONTROLLER j A .................... ............................................................ : FEEDBACK j SIQNAL * SIV m HYDRAULIC ACTUATOR FIG. 5.5 SERVO CONTROL LOOP FOR THE WAVE BOARD. VUTER
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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
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~~lidity of the results war rompsro
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nic~~~aan:immcdiateiyuseful, they a
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tlncayatem hehavior oftrusswork pla
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Chapter 3 Theoretical Modelling Tll
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3.2 Wave Theories Works by earlier
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F;-RY% WAVE THEORY) 1/20 I "w/Lw DE
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DIRECTION OF WAVE PROPAGATION FIG.
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liero, d and ita wlocity component
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and and a+ "=-. OY = wA~inl~IW(1+ s
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FIG.3.4 ARBITRARILY ORIENTED CYLIND
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~i n long c mtd wave is being conai
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inrther. Ultimately, the resulting
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equcncia and mode shapes, equalion
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Toestablish tho relationship betwee
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Furthermore, from equation (3.56),
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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 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 140 and 141: and maintain a minimum reflection c
Page 142: section C.1, Appendix C.) Aeeelero~
Page 145 and 146: FIG. 5.8 TEST APPARATUS
Page 147: coc0icier.t (i.~., Li,) of the mode
Page 151 and 152: (a) Bccaua the objective was to exc
Page 153 and 154: pre.dolcrmined value. Figure 5.12 s
Page 155 and 156: ACTUAL MODEL COMPUTER SIMULATED MOD
Page 157 and 158: Chapter 6 Analysis of Results 'l'im
Page 159 and 160: a complcte coherence between input
Page 161 and 162: irwause thu estimated nutocarrclati
Page 163 and 164: 5 wlnl WHITE NOISE INPUT H(f) FIG.
Page 165 and 166: wllcro az(M) ar Gw(/)/2A1 is the wh
Page 167 and 168: I1 lurns out that the matrix [XI ex
Page 169 and 170: n new valucof FPB(M) or AIC[M) exce
Page 171 and 172: notb bod to lightly damped systems
Page 173: Logarithmic Decrement. By the logar
Page 178 and 179: with duration 1/16 of the sample ti
Page 180 and 181: 7.1.1 Free Vibration Results Comput
Page 182: Table 7.2 Natural Reqvaney Compnris
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nn; rr; P ElS@ k $; iii; .I 4 I B 8
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obtained from 1621, were ssd: Proto
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TI= Cs.s.1 FIG. 7.35 X-DIRECTION DY
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-CUIXU~~~P ZION ~LIHI ~NIS~ :m13nt1
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FIG. 7.43 VRRIRTIDN OF DAMPING IN T
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Table 1.5 X-Direction Results From
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target or lheoroticnl wave spcctr..
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2 GENERATED FROU THE JONSWAP INPUT
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Strvetural Response To Irregular Wa
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- -- - kt-1 ,*-I 0 3 6 9 12 15 18 2
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Table 7.10 MEM Damping Edirnate. fr
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6 i I f DB1 011 09 0 03- OII- OBI-
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DEGREES -180 -110 -60 0 60 I80 (0 $
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w u computed. This may have rcnulte
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in7 It- @! 44z1 ..J ""l ifi s 8 ail
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~h,: tranricnt to thc steady stale
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the rc:xllons* lavela lor thc non-l
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8.2 Experimental Results 8.2.1 Tran
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theoretical results computd using t
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I Table 8.3 Mesaured Resonant FL.eq
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Table 8.7 Measured Resonant fiequen
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Table 8.8 Percent Chsngea in Resona
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Table 8.13 Percent Changer in Reson
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Momhv 70 Severed It may be recalled
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'CISU XI01 31IH1--03AOU3U 85 OW OL
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Damping Estimates from the Force Re
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Baaed on the impact lent restalls a
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In all cases, tbe diserelmncics bct
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from a removnl of the stiffening co
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1. The methodsused in the design, m
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for the white noise and JONSWAP tes
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Finnily, it should be mentionad tha
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[9] 0. Loland A.C. Mnekenaie and R.
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1321 M.J. Bliss., "Multichannel Max
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(541 J. Peneirn and S. Tseng, "Thre
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Bibliography [I] 2. Yin 2. Chen and
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[26] D.E. Malen and E.A. Vaughnn "D
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1561 C.G. Salmon and J.E. Johnson,
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A.l Diagonalization of a Consistent
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A.2 Houbolt Algorithm This alg~rith
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- 1 ZJ = - At2(123 - *1t 4.1 tzd, .
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f - L(+ 16 ,-a + 6/,., + 8h + 3/j+,
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B.l Sample Calculations to Select M
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Appendix C Calibration Curve and In
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Appendix D Miscellaneous Thia appcn
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IIq I!" an$ gc:e "4": ii; $4- nl& 4
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US OZ OI 0 0,- OZ- IB- 081 OZ1 09 0
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P E a x I G 2.; 5 & "t I $2 $3 d a
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FIO. 0.27 RESULTS ATRCCELEROMETER R
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nble D.2 MEM Damping Enimates rrom
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