Engineering Vibration, 5th edition

1. INTRODUCTION TO VIBRATION AND THE FREE RESPONSE
   • 1.1 Introduction to Free Vibration
   • 1.2 Harmonic Motion
   • 1.3 Viscous Damping
   • 1.4 Modeling and Energy Methods
   • 1.5 Stiffness
   • 1.6 Measurement
   • 1.7 Design Considerations
   • 1.8 Stability
   • 1.9 Numerical Integration of the Time Response
   • 1.10 Coulomb Friction and the Pendulum
   • Problems
2. RESPONSE TO HARMONIC EXCITATION
   • 2.1 Harmonic Excitation of Undamped Systems
   • 2.2 Harmonic Excitation of Damped Systems
   • 2.3 Alternative Representations
   • 2.4 Base Excitation
   • 2.5 Rotating Unbalance
   • 2.6 Measurement Devices
   • 2.7 Other Forms of Damping
   • 2.8 Numerical Integration and Design
   • 2.9 Nonlinear Response Properties
   • Problems
3. GENERAL FORCED RESPONSE
   • 3.1 Impulse Response Function
   • 3.2 Response to an Arbitrary Input
   • 3.3 Response to an Arbitrary Periodic Input
   • 3.4 Transform Methods
   • 3.5 Response to Random Inputs
   • 3.6 Shock Spectrum
   • 3.7 Measurement via Transfer Functions
   • 3.8 Stability
   • 3.9 Numerical Integration of the Response
   • 3.10 Nonlinear Response Properties
   • Problems
4. MULTIPLE-DEGREE-OF-FREEDOM SYSTEMS
   • 4.1 Two-Degree-of-Freedom Model (Undamped)
   • 4.2 Eigenvalues and Natural Frequencies
   • 4.3 Modal Analysis
   • 4.4 More Than Two Degrees of Freedom
   • 4.5 Systems with Viscous Damping
   • 4.6 Modal Analysis of the Forced Response
   • 4.7 Lagrange’s Equations
   • 4.8 Examples
   • 4.9 Computational Eigenvalue Problems for Vibration
   • 4.10 Numerical Integration of the Time Response
   • Problems
5. DESIGN FOR VIBRATION SUPPRESSION
   • 5.1 Acceptable Levels of Vibration
   • 5.2 Vibration Isolation
   • 5.3 Vibration Absorbers
   • 5.4 Damping in Vibration Absorption
   • 5.5 Optimization
   • 5.6 Viscoelastic Damping Treatments
   • 5.7 Critical Speeds of Rotating Disks
   • 5.8 Approximation and Scaling
   • Problems
6. DISTRIBUTED-PARAMETER SYSTEMS
   • 6.1 Vibration of a String or Cable
   • 6.2 Modes and Natural Frequencies
   • 6.3 Vibration of Rods and Bars
   • 6.4 Torsional Vibration
   • 6.5 Bending Vibration of a Beam
   • 6.6 Vibration of Membranes and Plates
   • 6.7 Models of Damping
   • 6.8 Modal Analysis of the Forced Response
   • Problems
7. VIBRATION TESTING AND EXPERIMENTAL MODAL ANALYSIS
   • 7.1 Measurement Hardware
   • 7.2 Digital Signal Processing
   • 7.3 Random Signal Analysis in Testing
   • 7.4 Modal Data Extraction
   • 7.5 Modal Parameters by Circle Fitting
   • 7.6 Mode Shape Measurement
   • 7.7 Vibration Testing for Endurance and Diagnostics
   • 7.8 Operational Deflection Shape Measurement
   • Problems
8. FINITE ELEMENT METHOD
   • 8.1 Example: The Bar
   • 8.2 Three-Element Bar
   • 8.3 Beam Elements
   • 8.4 Lumped-Mass Matrices
   • 8.5 Trusses
   • 8.6 Model Reduction
   • Problems

APPENDICES

• A. COMPLEX NUMBERS AND FUNCTIONS
• B. LAPLACE TRANSFORMS
• C. MATRIX BASICS
• D. THE VIBRATION LITERATURE
• E. LIST OF SYMBOLS
• F. CODES AND WEB SITES
• G. UNITS AND CONVERSIONS

REFERENCES

ANSWERS TO SELECTED PROBLEMS

INDEX