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Engineering Vibrations, International Edition

Engineering Vibrations, International Edition

Daniel J. Inman

(2013)

Additional Information

Book Details

Abstract

For one/two-semester introductory courses in vibration for undergraduates in Mechanical Engineering, Civil Engineering, Aerospace Engineering and Mechanics

 

Serving as both a text and reference manual, Engineering Vibration, 4e, connects traditional design-oriented topics, the introduction of modal analysis, and the use of MATLAB, Mathcad, or Mathematica. The author provides an unequaled combination of the study of conventional vibration with the use of vibration design, computation, analysis and testing in various engineering applications.

 

Teaching and Learning Experience

To provide a better teaching and learning experience, for both instructors and students, this program will:

  • Apply Theory and/or Research: An unequaled combination of the study of conventional vibration with the use of vibration design, computation, analysis and testing in various engineering applications.
  • Prepare Students for their Career: Integrated computational software packages provide students with skills required by industry.

Table of Contents

Section Title Page Action Price
Cover Cover
Contents 3
Preface 8
1 Introduction To Vibration and the Free Response\r 13
1.1 Introduction to Free Vibration 14
1.2 Harmonic Motion 25
1.3 Viscous Damping 33
1.4 Modeling and Energy Methods 43
1.5 Stifness 58
1.6 Measurement 70
1.7 Design Considerations\r 75
1.8 Stability 80
1.9 Numerical Simulation of the Time Response 84
1.10 Coulomb Friction and the Pendulum 93
Problems 107
MATLAB Engineering Vibration Toolbox\r 127
Toolbox Problems 128
2 Response to Harmonic Excitation 129
2.1 Harmonic Excitation of Undamped Systems 130
2.2 Harmonic Excitation of Damped Systems 142
2.3 A lternative Representations 156
2.4 Base Excitation 163
2.5 Rotating Unbalance\r 172
2.6 Measurement Devices 178
2.7 Other Forms of Damping 182
2.8 Numerical Simulation and Design 192
2.9 Nonlinear Response Properties 200
Problems 209
MATLAB Engineering Vibration Toolbox 226
Toolbox Problems 226
3 General Forced Response 228
3.1 Impulse Response Function 229
3.2 Response to an Arbitrary Input 238
3.3 Response to an Arbitrary Periodic Input 247
3.4 Transform Methods 254
3.5 Response to Random Inputs 259
3.6 Shock Spectrum 267
3.7 Measurement via Transfer Functions 272
3.8 Stability 274
3.9 Numerical Simulation of the Response 279
3.10 Nonlinear Response Properties 291
Problems 299
MATLAB Engineering Vibration Toolbox 313
Toolbox Problems 313
4 \rMultiple-Degreeof-Freedom Systems 315
4.1 Two-Degree-of-Freedom Model (Undamped) 316
4.2 Eigenvalues and Natural Frequencies 330
4.3 Modal Analysis 344
4.4 More than Two Degrees of Freedom 352
4.5 Systems with Viscous Damping 368
4.6 Modal Analysis of the Forced Response 374
4.7 Lagrange’s Equations\r 381
4.8 Examples 389
4.9 Computational Eigenvalue Problems for Vibration 401
4.10 Numerical Simulation of the Time Response 419
Problems 427
MATLAB Engineering Vibration Toolbox 445
Toolbox Problems 445
5 Design for Vibration Suppression 447
5.1 Acceptable Levels of Vibration 448
5.2 Vibration Isolation 454
5.3 Vibration Absorbers 467
5.4 Damping in Vibration Absorption 475
5.5 Optimization 483
5.6 Viscoelastic Damping Treatments 491
5.7 Critical Speeds of Rotating Disks 497
Problems 503
MATLAB Engineering Vibration Toolbox 513
Toolbox Problems 513
6 Distributed-Parameter Systems 514
6.1 Vibration of a String or Cable 516
6.2 Modes and Natural Frequencies 520
6.3 Vibration of Rods and Bars 531
6.4 Torsional Vibration 537
6.5 Bending Vibration of a Beam 544
6.6 Vibration of Membranes and Plates 556
6.7 Models of Damping 562
6.8 Modal Analysis of the Forced Response 568
Problems 578
MATLAB Engineering Vibration Toolbox 584
Toolbox Problems 584
7 Vibration Testingand Experimental Modal Analysis 585
7.1 Measurement Hardware 587
7.2 Digital Signal Processing 591
7.3 Random Signal Analysis in Testing 596
7.4 Modal Data Extraction 600
7.5 Modal Parameters by Circle Fitting 603
7.6 Mode Shape Measurement 608
7.7 Vibration Testing for Endurance and Diagnostics 618
7.8 Operational Deflection Shape Measurement 621
Problems 623
MATLAB Engineering Vibration Toolbox 627
Toolbox Problems 628
8 \rFinite Element Method 629
8.1 Example: The Bar 631
8.2 Three-Element Bar 637
8.3 Beam Elements 642
8.4 Lumped-Mass Matrices 650
8.5 Trusses 653
8.6 Model Reduction 658
Problems 661
MATLAB Engineering Vibration Toolbox 668
Toolbox Problems 668
Apendix A Complex Numbers and Functions 669
Apendix B Laplace Transforms 675
Apendix C Matrix Basics 680
Apendix D The Vibration Literature 692
Apendix E List of Symbols 694
Apendix F Codes and Web Sites 699
Apendix G Engineering Vibration Toolbox and Web Support 700
References\r 702
Answers to Selected Problems\r 704
Index 711
A 711
B 711
C 711
D 712
E 713
F 713
G 714
H 714
I 714
K 714
L 714
M 714
N 715
O 716
P 716
Q 716
R 716
S 717
T 718
U 718
V 719
W 719
Y 719
Z 719