Year: 2014 Language: english Author: Daniel J. Inman Genre: Textbook Publisher: Pearson Edition: 4th ISBN: 978-0-13-287169-3 Format: PDF Quality: eBook Pages count: 720 Description: This book is intended for use in a first course in vibrations or structural dynamics for undergraduates in mechanical, civil, and aerospace engineering or engineering mechanics. The text contains the topics normally found in such courses in accredited engineering departments as set out initially by Den Hartog and refined by Thompson. In addition, topics on design, measurement, and computation are addressed.
Contents
Preface viii 1 Introduction To Vibration and the Free Response 1 1.1 Introduction to Free Vibration 2 1.2 Harmonic Motion 13 1.3 Viscous Damping 21 1.4 Modeling and Energy Methods 31 1.5 Stiffness 46 1.6 Measurement 58 1.7 Design Considerations 63 1.8 Stability 68 1.9 Numerical Simulation of the Time Response 72 1.10 Coulomb Friction and the Pendulum 81 Problems 95 MATLAB Engineering Vibration Toolbox 115 Toolbox Problems 116 2 R esponse To Harmonic Excitation 117 2.1 Harmonic Excitation of Undamped Systems 118 2.2 Harmonic Excitation of Damped Systems 130 2.3 Alternative Representations 144 2.4 Base Excitation 151 2.5 Rotating Unbalance 160 2.6 Measurement Devices 166 2.7 Other Forms of Damping 170 2.8 Numerical Simulation and Design 180 2.9 Nonlinear Response Properties 188 Problems 197 MATLAB Engineering Vibration Toolbox 214 Toolbox Problems 214 3 General Forced Response 216 3.1 Impulse Response Function 217 3.2 Response to an Arbitrary Input 226 3.3 Response to an Arbitrary Periodic Input 235 3.4 Transform Methods 242 3.5 Response to Random Inputs 247 3.6 Shock Spectrum 255 3.7 Measurement via Transfer Functions 260 3.8 Stability 262 3.9 Numerical Simulation of the Response 267 3.10 Nonlinear Response Properties 279 Problems 287 MATLAB Engineering Vibration Toolbox 301 Toolbox Problems 301 4 M ultiple-Degree-of-Freedom Systems 303 4.1 Two-Degree-of-Freedom Model (Undamped) 304 4.2 Eigenvalues and Natural Frequencies 318 4.3 Modal Analysis 332 4.4 More Than Two Degrees of Freedom 340 4.5 Systems with Viscous Damping 356 4.6 Modal Analysis of the Forced Response 362 4.7 Lagrange’s Equations 369 4.8 Examples 377 4.9 Computational Eigenvalue Problems for Vibration 389 4.10 Numerical Simulation of the Time Response 407 Problems 415 MATLAB Engineering Vibration Toolbox 433 Toolbox Problems 433 5 D esign for Vibration Suppression 435 5.1 Acceptable Levels of Vibration 436 5.2 Vibration Isolation 442 5.3 Vibration Absorbers 455 5.4 Damping in Vibration Absorption 463 5.5 Optimization 471 5.6 Viscoelastic Damping Treatments 479 5.7 Critical Speeds of Rotating Disks 485 Problems 491 MATLAB Engineering Vibration Toolbox 501 Toolbox Problems 501 6 Di stributed-Parameter Systems 502 6.1 Vibration of a String or Cable 504 6.2 Modes and Natural Frequencies 508 6.3 Vibration of Rods and Bars 519 6.4 Torsional Vibration 525 6.5 Bending Vibration of a Beam 532 6.6 Vibration of Membranes and Plates 544 6.7 Models of Damping 550 6.8 Modal Analysis of the Forced Response 556 Problems 566 MATLAB Engineering Vibration Toolbox 572 Toolbox Problems 572 7 Vibration Testing and Experimental Modal Analysis 573 7.1 Measurement Hardware 575 7.2 Digital Signal Processing 579 7.3 Random Signal Analysis in Testing 584 7.4 Modal Data Extraction 588 7.5 Modal Parameters by Circle Fitting 591 7.6 Mode Shape Measurement 596 7.7 Vibration Testing for Endurance and Diagnostics 606 7.8 Operational Deflection Shape Measurement 609 Problems 611 MATLAB Engineering Vibration Toolbox 615 Toolbox Problems 616 8 Fi nite Element Method 617 8.1 Example: The Bar 619 8.2 Three-Element Bar 625 8.3 Beam Elements 630 8.4 Lumped-Mass Matrices 638 8.5 Trusses 641 8.6 Model Reduction 646 Problems 649 MATLAB Engineering Vibration Toolbox 656 Toolbox Problems 656 Appendix A C omplex Numbers and Functions 657 Appendix B L aplace Transforms 663 Appendix C M atrix Basics 668 Appendix D T he Vibration Literature 680 Appendix E Li st of Symbols 682 Appendix F C odes and Web Sites 687 Appendix G E ngineering Vibration Toolbox and Web Support 688 References 690 Answers to Selected Problems 692 Index 699
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Engineering Vibration
Language: english
Author: Daniel J. Inman
Genre: Textbook
Publisher: Pearson
Edition: 4th
ISBN: 978-0-13-287169-3
Format: PDF
Quality: eBook
Pages count: 720
Description: This book is intended for use in a first course in vibrations or structural dynamics for undergraduates in mechanical, civil, and aerospace engineering or engineering mechanics. The text contains the topics normally found in such courses in accredited engineering departments as set out initially by Den Hartog and refined by Thompson. In addition, topics on design, measurement, and computation are addressed.
Contents
Preface viii1 Introduction To Vibration and the Free Response 1
1.1 Introduction to Free Vibration 2
1.2 Harmonic Motion 13
1.3 Viscous Damping 21
1.4 Modeling and Energy Methods 31
1.5 Stiffness 46
1.6 Measurement 58
1.7 Design Considerations 63
1.8 Stability 68
1.9 Numerical Simulation of the Time Response 72
1.10 Coulomb Friction and the Pendulum 81
Problems 95
MATLAB Engineering Vibration Toolbox 115
Toolbox Problems 116
2 R esponse To Harmonic Excitation 117
2.1 Harmonic Excitation of Undamped Systems 118
2.2 Harmonic Excitation of Damped Systems 130
2.3 Alternative Representations 144
2.4 Base Excitation 151
2.5 Rotating Unbalance 160
2.6 Measurement Devices 166
2.7 Other Forms of Damping 170
2.8 Numerical Simulation and Design 180
2.9 Nonlinear Response Properties 188
Problems 197
MATLAB Engineering Vibration Toolbox 214
Toolbox Problems 214
3 General Forced Response 216
3.1 Impulse Response Function 217
3.2 Response to an Arbitrary Input 226
3.3 Response to an Arbitrary Periodic Input 235
3.4 Transform Methods 242
3.5 Response to Random Inputs 247
3.6 Shock Spectrum 255
3.7 Measurement via Transfer Functions 260
3.8 Stability 262
3.9 Numerical Simulation of the Response 267
3.10 Nonlinear Response Properties 279
Problems 287
MATLAB Engineering Vibration Toolbox 301
Toolbox Problems 301
4 M ultiple-Degree-of-Freedom Systems 303
4.1 Two-Degree-of-Freedom Model (Undamped) 304
4.2 Eigenvalues and Natural Frequencies 318
4.3 Modal Analysis 332
4.4 More Than Two Degrees of Freedom 340
4.5 Systems with Viscous Damping 356
4.6 Modal Analysis of the Forced Response 362
4.7 Lagrange’s Equations 369
4.8 Examples 377
4.9 Computational Eigenvalue Problems for Vibration 389
4.10 Numerical Simulation of the Time Response 407
Problems 415
MATLAB Engineering Vibration Toolbox 433
Toolbox Problems 433
5 D esign for Vibration Suppression 435
5.1 Acceptable Levels of Vibration 436
5.2 Vibration Isolation 442
5.3 Vibration Absorbers 455
5.4 Damping in Vibration Absorption 463
5.5 Optimization 471
5.6 Viscoelastic Damping Treatments 479
5.7 Critical Speeds of Rotating Disks 485
Problems 491
MATLAB Engineering Vibration Toolbox 501
Toolbox Problems 501
6 Di stributed-Parameter Systems 502
6.1 Vibration of a String or Cable 504
6.2 Modes and Natural Frequencies 508
6.3 Vibration of Rods and Bars 519
6.4 Torsional Vibration 525
6.5 Bending Vibration of a Beam 532
6.6 Vibration of Membranes and Plates 544
6.7 Models of Damping 550
6.8 Modal Analysis of the Forced Response 556
Problems 566
MATLAB Engineering Vibration Toolbox 572
Toolbox Problems 572
7 Vibration Testing and Experimental Modal Analysis 573
7.1 Measurement Hardware 575
7.2 Digital Signal Processing 579
7.3 Random Signal Analysis in Testing 584
7.4 Modal Data Extraction 588
7.5 Modal Parameters by Circle Fitting 591
7.6 Mode Shape Measurement 596
7.7 Vibration Testing for Endurance and Diagnostics 606
7.8 Operational Deflection Shape Measurement 609
Problems 611
MATLAB Engineering Vibration Toolbox 615
Toolbox Problems 616
8 Fi nite Element Method 617
8.1 Example: The Bar 619
8.2 Three-Element Bar 625
8.3 Beam Elements 630
8.4 Lumped-Mass Matrices 638
8.5 Trusses 641
8.6 Model Reduction 646
Problems 649
MATLAB Engineering Vibration Toolbox 656
Toolbox Problems 656
Appendix A C omplex Numbers and Functions 657
Appendix B L aplace Transforms 663
Appendix C M atrix Basics 668
Appendix D T he Vibration Literature 680
Appendix E Li st of Symbols 682
Appendix F C odes and Web Sites 687
Appendix G E ngineering Vibration Toolbox
and Web Support 688
References 690
Answers to Selected Problems 692
Index 699
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