Principles of Vibration

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

• 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