Engineering vibration / Daniel J. Inman.

CONTENIDO
1 INTODUCTION TO VIBRATION AND THE FREE RESPONSE 1
Introduction to Free Vibration 2
Harmonic Motion 8
Viscous Damping 16
Modeling and Energy Methods 23
Stiffness 33
Measurement 41
Design Considerations 46
Stability 50
Problems 53
MATLAB Vibration Tool Box 58
Tool Box Problems 59
2 RESPONSE TO HARMONIC EXCITATION 60
Harmonic Excitation of Undamped Systems 61
Harmonic Excitation of Damped Systems 66
Base Excitation 73
Rotating Unbalance 79
Alternative Representations 83
Measurement Devices 87
Coulomb Damping 91
Other Forms of Damping 98
Problems 103
MATLAB Vibration Tool Box 109
Tool Box Problems 110
3 GENERAL FORCED RESPONSE 111
Impulse Response Function 113
Response to an Arbitrary Input 116
Response to an Arbitrary Periodic Input 122
Transform Methods 128
Response to Random Inputs 132
Shock Spectrum 139
Measurement via Transfer Functions 142
Stability 145
Problems 149
MATLAB Vibration Tool Box 155
Tool Box Problems 155
4 MULTIPLE-DEGREE-OF-FREEDOM SYSTEMS 157
Two-Degree-of-Freedom Model (Undamped) 158
Eigenvalues and Natural Frequencies 168
Modal Analysis 178
More Than Two Degrees of Freedom 185
Systems with Viscous Damping 196
Modal Analysis of the Forced Response 201
Lagrange's Equations 205
Examples 211
Problems 221
MATLAB Vibratian Tool Box 230
Tool Box Problems 231
5 DESIGN FOR VIBRATION SUPPRESSION 233
Acceptable Levels af Vibration 234
Vibration Isolation 240
Vibration Absorbers 250
Damping in Vibration Absarption 257
Optimization 264
Viscoelastic Damping Treatments 271
Critical Speeds af Rotating Disks 277
Active Vibration Suppression 282
Practical Isolation Design 284
Problems 292
MATLAB Vibration Tool Box 302
Tool Box Problems 302
6 DISTRIBUTED-PARAMETER SYSTEMS 303
Vibration of a String or Cable 304
Modes and Natural Frequencies 308
Vibration of Rods and Bars 318
Torsional Vibration 323
Bending Vibration of a Beam 329
Vibration of Membranes and Plates 340
Models of Damping 346
Modal Analysis and the Forced Response 350
Problems 358
MATLAB Vibration Tool Box 363
Tool Box Problems 363
7 VIBRATION TESTING AND EXPERIMENTAL MODAL ANALYSIS 364
Measurement Hardware 366
Digital Signal Processing 370
Random Signal Analysis in Testing 375
Modal Data Extraction 378
Model Parameter by Circle Fitting 382
Mode Shape Measurement 386
Vibration Testing for Endurance and Diagnostics 392
Problems 395
MATLAB Vibration Tool Box 398
Tool Box Problems 399
8 FINITE ELEMENT METHOD 400
Example: The Bar 402
Three-Element Bar 408
Beam Elements 412
Lumped Mass Matrices 419
Trusses 421
Model Reduction 426
Problems 428
MATLAB Vibration Tool Box 435
Tool Box Problems 435
9 COMPUTATIONAL CONSIDERATIONS 437
Numerical Errors 439
Influence Coefficients and Dunkerley's Formula 442
Rayleigh's Method 449
Matrix Iteration 451
Eigenvalue Problems of Vibration Analysis 453
Computer Codes for Matrix Computations (MATLAB) 467
Computer Simulation of the Time Response 475
Problems 482
10 NONLINEAR VIBRATION 489
Single-Degree-of-Freedom Phase Plots 491
Linearized Equations 496
The Pendulum 501
Nonlinear Damping and Averaging 505
Forced Response by Perturbation 510
Forced Response by Duffing's Method 514
Problems 515
MATLAB Vibration Tool Box 518
Tool Box Problems 519
APPENDIX A COMPLEX NUMBERS AND FUNCTIONS 520
APPENDIX B LAPLACE TRANSFORMS 525
APPENDIX C MATRIX BASICS 530
APPENDIX D THE VIBRATION LITERATURE 536
APPENDIX E LIST OF SYMBOLS 538
REFERENCES 543
ANSWERS TO SELECTED PROBLEMS 545
PHOTO CREDITS 553
INDEX 554