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Table of contents : Preface......Page 7
Contents......Page 10
1 Introduction......Page 13
1.1 Basic Definitions......Page 14
1.2 Elements of the Vibration Models......Page 16
1.3 Particle Dynamics......Page 22
1.4 Systems of Particles......Page 27
1.5 Dynamics of Rigid Bodies......Page 31
1.6 Linearization of the Differential Equations......Page 38
1.7 Idealization and Scope of the Vibration Theory......Page 41
Problems......Page 46
2 Solution of the Vibration Equations......Page 48
2.1 Homogeneous Differential Equations......Page 49
2.2 Initial Conditions......Page 62
2.3 Nonhomogeneous Equations......Page 66
2.4 Stability of Motion......Page 72
2.5 Harmonic Oscillations......Page 76
Problems......Page 78
3.1 Free Undamped Vibration......Page 80
3.2 Equivalent Systems......Page 89
3.3 Free Damped Vibration......Page 101
3.4 Experimental Measurement......Page 110
3.5 Structural Damping......Page 114
3.6 Coulomb Damping......Page 117
3.7 Motion Stability......Page 121
3.8 Impact Dynamics......Page 126
Problems......Page 131
4.1 Differential Equation of Motion......Page 140
4.2 Forced Undamped Vibration......Page 141
4.3 Resonance and Beating......Page 147
4.4 Forced Vibration of Damped Systems......Page 152
4.5 Rotating Unbalance......Page 160
4.6 Base Motion......Page 167
4.7 Measuring Instruments......Page 172
4.8 Experimental Methods for Damping Evaluation......Page 176
Problems......Page 182
5.1 Periodic Forcing Functions......Page 188
5.2 Determination of the Fourier Coefficients......Page 190
5.3 Special Cases......Page 194
5.4 Vibration Under Periodic Forcing Functions......Page 197
5.5 Numerical Evaluation of Fourier Coefficients......Page 204
5.6 Impulsive Motion......Page 210
5.7 Response to an Arbitrary Forcing Function......Page 214
5.8 Numerical Evaluation of the Duhamel Integral......Page 218
5.9 Frequency Contents in Arbitrary Forcing Functions......Page 223
5.10 Computer Methods in Nonlinear Vibration......Page 225
Problems......Page 236
6 Systems with More Than One Degree of Freedom......Page 244
6.1 Free Undamped Vibration......Page 245
6.2 Matrix Equations......Page 251
6.3 Damped Free Vibration......Page 266
6.4 Undamped Forced Vibration......Page 278
6.5 Vibration Absorber of the Undamped System......Page 285
6.6 Forced Vibration of Damped Systems......Page 288
6.7 The Untuned Viscous Vibration Absorber......Page 292
6.8 Multi-degree of Freedom Systems......Page 297
6.9 Continuous Systems......Page 304
Problems......Page 306
7 Continuous Systems......Page 315
7.1 Free Longitudinal Vibrations......Page 316
7.2 Free Torsional Vibrations......Page 328
7.3 Free Transverse Vibrations......Page 333
7.4 Orthogonality of the Eigenfunctions......Page 341
7.5 Forced Longitudinal and Torsional Vibrations......Page 348
7.6 Forced Transverse Vibrations......Page 353
Problems......Page 355
8.1 Motion Control......Page 359
8.2 Nonlinear Dynamics......Page 363
8.3 Limit Cycle and Bifurcation......Page 367
8.4 Linearization and Perturbation......Page 368
A Runge Kutta Computer Program......Page 373
References......Page 376
Chapter 2......Page 377
Chapter 5......Page 378
Chapter 7......Page 379
Theory of Vibration 3th.pdf
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