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AuthorIndex

AAbramowitz, M. 151, 156, 159Allen, T. 350Appel, S. 122Assink, F.CJ. 180

BBabuska, 1. 151, 156Bampton, M.C.C. 114, 344, 355, 367,369, 379Barnoski, R.L. 263, 276Beards, C.P. 6, 49, 50Belytschko, T. 151, 164, 166Beranek, L.L. 290, 291Bickley, W.G. 95, 98Bismark-Nasr, M.N. 201, 218Bolotin 201Braun, S.G. 84, 85Bray, E.L. 399Brock, J.E. 101Bucher, 1. 84, 85

CCeasar, B. 108Chang, CJ. 355, 369, 379, 384Chopra, A.K. 151, 154, 156Chung, J. 151, 168Chung, Y.T. 319, 399,401Claessens, GJ.TJ. 358Cook, G. 350Cook, R.D. 4, 7, 13, 70, 131,247

Craig, R.R. 114, 131, 305, 313, 344,355, 367, 369, 379, 384, 399Crandall, S.H. 201Cremer, L. 263Curnier, A. 369, 371, 374

DD'Souza, A.F. 90,321,327,340Dah1eh, M.D. 52, 313Dejong, R.G. 14, 263Dickens, J.M. 14, 331, 333, 334, 338Dodds, CJ. 201Dokainish, M.A. 151, 156, 160, 162,163, 164, 166EEaton, D. 263Ebeling, R.M. 151, 169, 176, 178, 179Elishakoff, 1.201, 270Escobedo-Torres, J. 344, 367Ewins, DJ. 57FFerrari, V.63, 65,236,238Francesconi, D. 297Fransen, S.HJ.A. 17, 399French, S.E. 151, 169, 176, 178, 179Friswell, M.l. 36, 348

GGarg, V.K. 90, 321, 327, 340Gatti, P.L. 63, 65, 236, 238Gockel, M.A. 344, 358, 361, 367

428

Gordon, S. 355, 379Green, R.A. 151, 169, 176, 178, 179Grygier, M.S. 12, 173Gupta, A.K. 178, 179, 183Guyan, R.J. 81, 344, 352, 353, 358,359,367,371,372HHaelsig, R.T. 183Hairer, E. 171, 196Harris, R.W. 208, 213, 251Heckl, M. 263Heinrich, W. 201Hennig, K. 201Herting, D.N. 391Hintz, R.M. 16, 369Houbolt, J.e. 160Hughes, T.I.R. 151, 164Hulbert, G.M. 151, 168JJames, L. 35, 47, 51, 207, 208, 209Jennings,P.C.169, 176, 178, 179KKammer, D.e. 344, 362, 367Keane, A.I. 263Kelly, R.D. 169, 176, 177, 179Keltie, R. 264, 277Kenny, A. 288Klein, M. IIIKreyszig, E. 23, 31, 151, 156, 159LLacoste, P. 369, 371Ledwidge, T.I. 208, 213, 251Lees, A.W. 36Lin, Y.K. 201Liu, W.K. 164, 166Lutes, L.D. 201, 325, 326Lyon, R.H. 14, 201, 254, 263, 264,271,273,285,291,302

MMacNeal, R.H. 369MacVean, D.B. 201Madayag, A.F. 247Maia, N.M.M. 16,41,348,369

Author Index

Maidanik, G. 263, 271, 302Malkus, D.S. 4, 7, 13, 70, 131,247Mark, W.D. 201Maymon, G. 201McConnel, K.G. 41,202,207McGowan, D.M. 313Meirovitch, L. 7, 8, 20, 60, 63, 65, 99,152Michlin, S.C. 15, 344Miles, J.W. 11,221,258Miller, C.A. 344, 351, 367Moran, B. 164, 166Morgan, M.I . 391Mottershead, J.E. 348Mulville, D.R. 173, 174NNahin, P.I. 21, 37, 74Narayanan, S. 263, 287Nelson, D.B. 191, 192Newland, D.E. 79, 201Nigam, N.C. 169, 176, 178, 179,263,287Nord, A.R. 192Norton, M.P. 263, 282, 295, 296, 300oO'Callahan, J. 344, 352, 367Ortiz, K. 201PPaez, T.L. 201Paling, V.R. 20IPapoulis, A. 201Park, K.e. 327, 340Petyt, M. 4, 151Piersol, A.G. 263, 276Pilkey, W.D. 151, 154, 160, 162, 164Pinnington, R.I. 267Plesha, M.E. 4, 7, 13, 70, 131,247Prager, M. 151, 156Prasthofer, P.H. 191, 192Price, W.G. 263Przemieniecki, J.S. 70, 81RRichman,G.169, 176, 177, 179

Author Index

Richmond, G. 176Ricks, E.G. 15,343,348Rides, J.M. 344, 367Robson, J.D. 201Rose, T. 14, 331, 338, 339, 340

SSarkani, S. 325, 326Schueller, GJ. 201Schwarz, H.R. 139, 151, 156Seide, P. 97Shinozuka, M. 201Shunmugavel, P. 9, IIISilva, J.M.M. 16,41,348,369Skudryk, E. 289Smallwood, D.A . 190, 192, 195Smith, W.P. 254, 264, 285, 291Spiegel, M.R. 74Stavrinidis, C. 369Stegun, LA. 151, 156, 159Stephenson, G. 27Strang, G. 20, 74, 75, 90, 102, 154,317,361Stroeve, A. 14,331,333,334,338Subbraraj, K. 151, 156, 160, 162, 163,164, 166

TTemple, G. 95, 98Thomson, W.T . 52, 313

429

Trudell, R.W. 294

UUAl 391,393Ungar, E.E. 263

VVan der Laan, W.F. 263, 276Vistasek, E. 151, 156Vogel, F. 108

WWalls, B. 350Wanner, G. 171, 196Wax, N. 201White, P.H. 263, 276Wijker,1.1. 358Winter, E.F. 263, 276Wirsching, P.H. 201Witting, M. IIIWoehrl, U. 203Wood, W.L. 151, 167, 185,335Woodhouse,J.263Wunderlich, W. 151, 154, 160, 162,164

YYano, L.I. 294

ZZurmuehl, R. 20, 84

Subject Index

AAbsolute

acceleration 39, 112, 176displacement 25,33, ll2, 175velocity 41

Absorption coefficient 294Accelerance 41Acceleration

transformation matrix 17, 399Acoustic

chamber 290damping 50field 291load 4,247radiation 49, 297room 290system 290vibration 247

Active damping 49Added damping 49Admissible vector 98Admittance 41Air damping 50Algoritmic damping 162Alternative Dunkerley's equation 105Amplification

factor 53, 270matrix 153

Amplitude 264Apparant mass 42Assumed mode 98ATM 399

Averagedamping energy 269dissipated power 266energy 269energy flow 270input power 266power 266power flow 274total energy 276value 264

BBase acceleration 176Bending

beam 283stiffness 284

Blocked oscillator 276Boundary degrees of freedom 114

CCB

reduced-mass matrix 382reduced-stiffness matrix 382

COLA 369Central difference method 153Characteristic equation 101Classical modal approach 247Classical pulses 191CLF 281CMS 369Coherence function 254Coincidence frequency 291Complementary function 24

432

Complex amplitude 264Component

modal synthesis 16,369mode synthesis 16,369

Conditionally stable 153Constraint modes 381Continuous dynamic system 409Convolution

integral 152integration 152

Convolution theorem 27Coupled dynamic load analysis 369Coupling element 270Coupling loss factor 276,279,283Craig-Bampton 344

method 379transformation matrix 116,380

Craig-Bampton model 404Cramer's rule 272Critical damping 28Critical frequency 291Crosscorrelation 251 , 274Crosscorrelation matrix 252Crossorthogonality check 15,343Crosspower-spectral density 251Crosspower-spectral function 274Cycles per second 21

DDamped natural frequency 36Damping

critical 51element 50energy 52force 27loss factor 280,283ratio 28,51

Decaying sinusoid 190Decoupled equation 250Degree of freedom. 19Deleted modes 316Dickens method 331Diffuse 247

sound field 292Discrete dynamic system 409Displacement

compensation 192function 410

Subject Index

transformation matrix 17,399Dissipated energy 280Dissipation of energy 19Dissipative integration method 166Distributed mass 96DTM 399Dunkerley's equation 95Dynamic

mass 42stiffness 41

Dynamic compliance 41Dynamic reduction method 344

EElastic body 298Elastic deformation 387Elastic mode shape 114Enforced acceleration 112Enforced motion 24Ergodic random process 268Euler's formula 37Exciter 190Explicit time-integration method 153Exponentiallly decaying response 29External degrees of freedom 114External forces 24, 32

FFast sine sweep 191Filtering operator 305Fixed interface 372Fixed-interface method 379Flexibility matrix 316,386Flexural rigidity 284Forced excitation frequency 37Fourier transform 20Free interface 372Free-free

elastic body 114system 14,303

Free-interface method 384Frequency

bandwidth 249domain 20response 34response function 39

FRF 39Full correlation matrix 256

SUbject Index

GGeneralised

-alpha algorithm 168coordinate 116,150,370damping 150force 150mass 116, 150stiffness 116, 150

Generalised dynamic reduction 344Guyan reduced-stiffness matrix 116Gyroscopic coupling 271

HHalf-power method 56HHT method 166Houbolt integrator 162Houbolt method 153Houbolt recurrence matrix

solution 160Hughes, Hilber and Taylor alpha­

method 166Hysteric damping 52

IImpedance 267Implicit time-integration method 153Improved reduced system 344Impulse

response function 27,30 , 152Incidence transmission coefficient 295Inertance 41Inertia force 20Inertia-relief 14,303

coordinates 393effect 394

Inertia-relief projection matrix 305Influence coefficient 97Inherent damping 49Initial condition 23Internal degrees of freedom 114, 115Inverse

mass matrix 316stiffness matrix 315

JJoint acceptance 254Joint damping 50Junction 277

433

KKinetic energy 19, 410

LLagrange equations 411Laplace transform 20Launch vehicle 2Launcher-payload model 374Linear damping 50Load

distribution matrix 401transformation matrix 17,399

Loaded interface 372Longitudinal wave velocity 296Loss factor 52, 266LTM 399Lumped mass 96

MMAM 14Mass coupling 271 ,382Matched SRS 196Material damping 49, 50Maximum

acceleration 176shocktime 180

MDM 149Mdof 20Mean value 264Mechanical impedance 42Mechanical random load 288Mobility 41, 266Modal

analysis 4assurance criteria 15,343 ,348base 370contribution 183coupling technique 16,369damping 55damping ratio 117, 128, 150density 277effective mass 9,111,119mass 150matrix 116,150,314,381 ,400participation factor 9,117, 182,382reaction force 119static force 332structural damping 54

434

transformation 380viscous damping 53

Modeacceleration method 14,17,313displacement method 14, 16, 149,

313,369,399superposition method 149

Modulated random noise 191Modulus 38, 265Multi-degrees of freedom 4Multi-degrees of freedom systems 20

NNarrow-banded stationary

processes 11Natural frequency 21Negative algoritmic damping 166Newmark method 153Newmark-beta method 185Newton-Cotes Method 196Nondissipative 272Normal mode generalised

coordinates 393Normalised crossorthogonality 349Numerical solution scheme 149

oOne-octave band 248One-sided power spectral density

function 268One-third octave band 248Orthogalisation 334Orthogonality properties 150Orthogonality relation 314,332OTM 399Output transformation matrix 17,399Overdamped 29

pParticular solution 27Passive damping 49Phase

angle 36, 264shift 37

Piecewise linear method 169Positive algoritmic damping 166Potential energy 19,410Power balance 277

SUbject Index

Principal coordinates 370Proportional damping 150Pseudomodes 334Pyroshock 174

RRadiation effect 250Radiation efficiency 291Random vibration 2Rayleigh-Ritz method 409Reaction force 112Receptance 41Reciprocity 279,280Reciprocity relation 277Rectangular plate 284Recurrence procedure 156Recurrence solution 161Recurrent relation 153Reduced

dynamic model 17,399-mass matrix 17,372,399-stiffness matrix 17,372, 399

Reduced dynamic model 369Reference power spectral density 253Reference pressure 248Relative

displacement 112motion 112velocity 176

Relative displacement 25Relative forces 14,303Relative velocity 37Residual

attachment modes 400flexibility matrix 316,386,400load 332modified attachment mode

matrix 403vectors 331

Reverberant 247chamber 292room 292sound field 292

Rigid-bodymass matrix 119mode 116, 386vector 181

Ritz vectors 344

SUbject Index

Rose method 334Runge-Kutta

fonnule 156method 153, 157

Runge-Kutta-Nystrom fourth-ordermethod 159

SSandwich plate 299Satellite 1sdof 19SEA 247SEA parameter 283Second moment 204SEREP 344Shaker optimised cosines 190Shock

load 2response spectrum 2

Shockload 173Simply supported 284Simpson's rule 196Single degree of freedom 4Single degree of freedom system 19Sinusoidal acceleration 25Sinusoidal vibration 2Sound

intensity 247pressure level 3, 248, 290pressures 247radiation 290

Source power input 281Space state variable 158Speed of sound 254, 290SPL 3,248Spring force 20, 187SRS 2,173SRSS 183Standard deviation 204Starting point of the recurrence

solution 161State space representation 42Static

condensation method 344displacement 40displacement method 95force 332mode 114,379

435

transformation 380Stationary random process 268Stationary value 98Statistical energy analysis 247,263Strain energy 298,410Stress mode 255Structural damping 50Substructure 369Subsystem

energy 283total energy 279

Synthesisedmass matrix 378stiffness matrix 378

System equivalent reduction expansionprocess 344

TTAM 344Temporal mean 202Test-analysis model 15,344Time

average 202domain 20frame 180history synthesis 190integration method 149integration step 149

Trace of matrix 102Transient

response 176response analysis 149

Trapezoidal rule 196

UUnconditionally stable 163Underdamped 29Unified component mode synthesis

method 371Upper bound 99

VVelocity compensation 192Virtual work 411Viscous

damper element 27damping 28

Viscous damping 50

436

WWave

form 190length 254,291number 254, 284transmission coefficient 295

WBZ method 167White noise 256

SUbject Index

Wiener-Khintchine relationship 251Wilson-theta method 153Wood, Bossak and Zienkiewicz-alpha

method 167

ZZero inertia effects 114