Engineering Vibration

Chapter 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

Chapter 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

Chapter 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

Chapter 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

Chapter 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

Chapter 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

Chapter 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

Chapter 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

Chapter APPENDICES: 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

Chapter REFERENCES: REFERENCES

Chapter ANSWERS TO SELECTED PROBLEMS: ANSWERS TO SELECTED PROBLEMS