TY - BOOK AU - Inman,Daniel John TI - Engineering vibration / SN - 0135185319 PY - 1996/// CY - New Jersey PB - Prentice Hall KW - VIBRATION KW - HARMONIC EXCITATION KW - NONLINEAR VIBRATION N1 - 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 ER -