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Engineering Vibrations, International Edition


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ContentsPreface viii1 Introduction To Vibration and the Free Response 11.1 Introduction to Free Vibration 21.2 Harmonic Motion 131.3 Viscous Damping 211.4 Modeling and Energy Methods 311.5 Stiffness 461.6 Measurement 581.7 Design Considerations 631.8 Stability 681.9 Numerical Simulation of the Time Response 721.10 Coulomb Friction and the Pendulum 81Problems 95MATLAB Engineering Vibration Toolbox 115Toolbox Problems 1162 Response To Harmonic Excitation 1172.1 Harmonic Excitation of Undamped Systems 1182.2 Harmonic Excitation of Damped Systems 1302.3 Alternative Representations 1442.4 Base Excitation 1512.5 Rotating Unbalance 1602.6 Measurement Devices 1662.7 Other Forms of Damping 1702.8 Numerical Simulation and Design 1802.9 Nonlinear Response Properties 188Problems 197MATLAB Engineering Vibration Toolbox 214Toolbox Problems 2143 General Forced Response 2163.1 Impulse Response Function 2173.2 Response to an Arbitrary Input 2263.3 Response to an Arbitrary Periodic Input 2353.4 Transform Methods 2423.5 Response to Random Inputs 2473.6 Shock Spectrum 2553.7 Measurement via Transfer Functions 2603.8 Stability 2623.9 Numerical Simulation of the Response 2673.10 Nonlinear Response Properties 279Problems 287MATLAB Engineering Vibration Toolbox 301Toolbox Problems 3014 Multiple-Degree-of-Freedom Systems 3034.1 Two-Degree-of-Freedom Model (Undamped) 3044.2 Eigenvalues and Natural Frequencies 3174.3 Modal Analysis 3314.4 More Than Two Degrees of Freedom 3394.5 Systems with Viscous Damping 3554.6 Modal Analysis of the Forced Response 3614.7 Lagrange's Equations 3684.8 Examples 3764.9 Computational Eigenvalue Problems for Vibration 3884.10 Numerical Simulation of the Time Response 406Problems 414MATLAB Engineering Vibration Toolbox 432Toolbox Problems 4325 Design for Vibration Suppression 4335.1 Acceptable Levels of Vibration 4345.2 Vibration Isolation 4405.3 Vibration Absorbers 4535.4 Damping in Vibration Absorption 4615.5 Optimization 4695.6 Viscoelastic Damping Treatments 4775.7 Critical Speeds of Rotating Disks 483Problems 489MATLAB Engineering Vibration Toolbox 499Toolbox Problems 4996 Distributed-Parameter Systems 5006.1 Vibration of a String or Cable 5026.2 Modes and Natural Frequencies 5066.3 Vibration of Rods and Bars 5176.4 Torsional Vibration 5236.5 Bending Vibration of a Beam 5306.6 Vibration of Membranes and Plates 5426.7 Models of Damping 5486.8 Modal Analysis of the Forced Response 554Problems 564MATLAB Engineering Vibration Toolbox 570Toolbox Problems 5707 Vibration Testing and Experimental Modal Analysis 5717.1 Measurement Hardware 5737.2 Digital Signal Processing 5777.3 Random Signal Analysis in Testing 5827.4 Modal Data Extraction 5867.5 Modal Parameters by Circle Fitting 5897.6 Mode Shape Measurement 5947.7 Vibration Testing for Endurance and Diagnostics 6047.8 Operational Deflection Shape Measurement 607Problems 609MATLAB Engineering Vibration Toolbox 613Toolbox Problems 6148 Finite Element Method 6158.1 Example: The Bar 6178.2 Three-Element Bar 6238.3 Beam Elements 6288.4 Lumped-Mass Matrices 6368.5 Trusses 6398.6 Model Reduction 644Problems 647MATLAB Engineering Vibration Toolbox 654Toolbox Problems 654Appendix A Complex Numbers and Functions 655Appendix B Laplace Transforms 661Appendix C Matrix Basics 666Appendix D The Vibration Literature 678Appendix E List of Symbols 680Appendix F Codes and Web Sites 685Appendix G Engineering Vibration Toolbox and Web Support 686References 688Answers to Selected Problems 690Index 697

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