Principles of Vibration

• 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

"A good reference book."--Michael Flores, Cypress College |k No