Table of Contents

Chapter 1. Free Vibration of Single-Degree-of-Freedom Systems
1.1: Introduction
1.2: Translational Vibrations--Undamped
1.3: Rotational Vibrations and Linearization
1.4: Viscous Damping
1.5: Lagrange's Equations
1.6: Homework Problems
Chapter 2. Forced Vibration of Single-Degree-of-Freedom System
2.1: Introduction
2.2: Seismic Excitation--Step Input
2.3:
2.4: Direct Force Excitation
2.5: Transfer Functions
2.6: Viscous Damping
2.7: Complex Representations
2.8: Damped Seismic Motion
2.9: Rotating Imbalance
2.10: Identification of Damping and Natural Frequency
2.11: Other Types of Damping
2.12: Accelerometers and Seismometers
2.13: Homework Problems
Chapter 3. Nonsinusoidal Excitations
3.1: Introduction
3.2: Fourier Series Analysis
3.3: Forced Response via the Convolution Integral
3.4: Shock Response
3.5: Homework Problems
Chapter 4. Vibrations Involving More Than One Degree of Freedom
4.1: Introduction
4.2: Free Response--Undamped System
4.3: Forced Response
4.4: Vibration Absorbers without Damping
4.5: Real Behavior of a Vibration Absorber
4.6: Zeros in a Forced Response
4.7: Putting Problems into Normal Form
4.8: Orthogonality of System Eigenvectors
4.9: More on Normal Forms
4.10: Linear Damping
4.11: Comparison of Damped Eigensolutions
4.12: Forced Response of Damped Systems
4.13: Symmetry of Mass and Stiffness Matrices
4.14: Repeated Frequencies and Zero Frequencies
4.15: Influence Coefficients
4.16: Homework Problems
Chapter 5. Distributed Systems
5.1: Introduction
5.2: Free Vibration of a Bar (Rod, String, etc.)
5.3: Free Vibration of a Beam
5.4: Continuous Systems--Forced Vibration
5.5: Orthogonality of Eigenfunctions
5.6: Homework Problems
Chapter 6. Approximate Solutions Methods
6.1: Introduction
6.2: Lumped Approximations
6.3: Rayleigh's Quotient
6.4: Rayleigh-Ritz Method: Discrete Systems
6.5: Rayleigh-Ritz Method: Continuous Problems
6.6: Assumed Modes Method
6.7: Homework Problems
Chapter 7. Seat-of-the-Pants Engineering
7.1: Introduction
7.2: Getting Approximate Results
7.3: Limiting Cases
7.4: Verifying Your Analysis
7.5: Homework Problems
Chapter 8. Experimental Methods and Real World Behavior
8.1: Introduction
8.2: Signal Descriptions
8.3: Fourier Transform Analysis
8.4: Spectral Analyses
8.5: Noise
8.6: Sensors and Actuators
8.7: Nonlinear Effects
8.8: Homework Problems
Appendix A. Four Continuous Systems
Appendix B. Lumped Spring Constants
Appendix C. Assorted Material Constants
Appendix D. Elementary Matrix Relations
References
Selected Readings
Answers to Selected Problems
Index

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