Engineering vibration

Cover......Page 1
Contents......Page 4
Preface......Page 9
1 Introduction To Vibration and the Free Response......Page 14
 1.1 Introduction to Free Vibration......Page 15
 1.2 Harmonic Motion......Page 26
 1.3 Viscous Damping......Page 34
 1.4 Modeling and Energy Methods......Page 44
 1.5 Stifness......Page 59
 1.6 Measurement......Page 71
 1.7 Design Considerations......Page 76
 1.8 Stability......Page 81
 1.9 Numerical Simulation of the Time Response......Page 85
 1.10 Coulomb Friction and the Pendulum......Page 94
 Problems......Page 108
 MATLAB Engineering Vibration Toolbox......Page 128
 Toolbox Problems......Page 129
2  Response to Harmonic Excitation......Page 130
 2.1 Harmonic Excitation of Undamped Systems......Page 131
 2.2 Harmonic Excitation of Damped Systems......Page 143
 2.3 A lternative Representations......Page 157
 2.4 Base Excitation......Page 164
 2.5 Rotating Unbalance......Page 173
 2.6 Measurement Devices......Page 179
 2.7 Other Forms of Damping......Page 183
 2.8 Numerical Simulation and Design......Page 193
 2.9 Nonlinear Response Properties......Page 201
 Problems......Page 210
 Toolbox Problems......Page 227
3  General Forced Response......Page 229
 3.1 Impulse Response Function......Page 230
 3.2 Response to an Arbitrary Input......Page 239
 3.3 Response to an Arbitrary Periodic Input......Page 248
 3.4 Transform Methods......Page 255
 3.5 Response to Random Inputs......Page 260
 3.6 Shock Spectrum......Page 268
 3.7 Measurement via Transfer Functions......Page 273
 3.8 Stability......Page 275
 3.9 Numerical Simulation of the Response......Page 280
 3.10 Nonlinear Response Properties......Page 292
 Problems......Page 300
 Toolbox Problems......Page 314
4 Multiple-Degreeof-Freedom Systems......Page 316
 4.1 Two-Degree-of-Freedom Model (Undamped)......Page 317
 4.2 Eigenvalues and Natural Frequencies......Page 331
 4.3 Modal Analysis......Page 345
 4.4 More than Two Degrees of Freedom......Page 353
 4.5 Systems with Viscous Damping......Page 369
 4.6 Modal Analysis of the Forced Response......Page 375
 4.7 Lagrange’s Equations......Page 382
 4.8 Examples......Page 390
 4.9 Computational Eigenvalue Problems for Vibration......Page 402
 4.10 Numerical Simulation of the Time Response......Page 420
 Problems......Page 428
 Toolbox Problems......Page 446
5  Design for Vibration Suppression......Page 448
 5.1 Acceptable Levels of Vibration......Page 449
 5.2 Vibration Isolation......Page 455
 5.3 Vibration Absorbers......Page 468
 5.4 Damping in Vibration Absorption......Page 476
 5.5 Optimization......Page 484
 5.6 Viscoelastic Damping Treatments......Page 492
 5.7 Critical Speeds of Rotating Disks......Page 498
 Problems......Page 504
 Toolbox Problems......Page 514
6  Distributed-Parameter Systems......Page 515
 6.1 Vibration of a String or Cable......Page 517
 6.2 Modes and Natural Frequencies......Page 521
 6.3 Vibration of Rods and Bars......Page 532
 6.4 Torsional Vibration......Page 538
 6.5 Bending Vibration of a Beam......Page 545
 6.6 Vibration of Membranes and Plates......Page 557
 6.7 Models of Damping......Page 563
 6.8 Modal Analysis of the Forced Response......Page 569
 Problems......Page 579
 Toolbox Problems......Page 585
7  Vibration Testingand Experimental Modal Analysis......Page 586
 7.1 Measurement Hardware......Page 588
 7.2 Digital Signal Processing......Page 592
 7.3 Random Signal Analysis in Testing......Page 597
 7.4 Modal Data Extraction......Page 601
 7.5 Modal Parameters by Circle Fitting......Page 604
 7.6 Mode Shape Measurement......Page 609
 7.7 Vibration Testing for Endurance and Diagnostics......Page 619
 7.8 Operational Deflection Shape Measurement......Page 622
 Problems......Page 624
 MATLAB Engineering Vibration Toolbox......Page 628
 Toolbox Problems......Page 629
8 Finite Element Method......Page 630
 8.1 Example: The Bar......Page 632
 8.2 Three-Element Bar......Page 638
 8.3 Beam Elements......Page 643
 8.4 Lumped-Mass Matrices......Page 651
 8.5 Trusses......Page 654
 8.6 Model Reduction......Page 659
 Problems......Page 662
 Toolbox Problems......Page 669
Apendix A Complex Numbers and Functions......Page 670
Apendix B Laplace Transforms......Page 676
Apendix C Matrix Basics......Page 681
Apendix D The Vibration Literature......Page 693
Apendix E List of Symbols......Page 695
Apendix F Codes and Web Sites......Page 700
Apendix G Engineering Vibration Toolbox and Web Support......Page 701
References......Page 703
Answers to Selected Problems......Page 705
 C......Page 712
 D......Page 713
 F......Page 714
 M......Page 715
 N......Page 716
 R......Page 717
 S......Page 718
 U......Page 719
 Z......Page 720