Principles of Vibration

• Chapter 1. Free Vibration of Single-Degree-of-Freedom Systems1.1: Introduction1.2: Translational Vibrations--Undamped1.3: Rotational Vibrations and Linearization1.4: Viscous Damping1.5: Lagrange's Equations1.6: Homework ProblemsChapter 2. Forced Vibration of Single-Degree-of-Freedom System2.1: Introduction2.2: Seismic Excitation--Step Input2.3: 2.4: Direct Force Excitation2.5: Transfer Functions2.6: Viscous Damping2.7: Complex Representations2.8: Damped Seismic Motion2.9: Rotating Imbalance2.10: Identification of Damping and Natural Frequency2.11: Other Types of Damping2.12: Accelerometers and Seismometers2.13: Homework ProblemsChapter 3. Nonsinusoidal Excitations3.1: Introduction3.2: Fourier Series Analysis3.3: Forced Response via the Convolution Integral3.4: Shock Response3.5: Homework ProblemsChapter 4. Vibrations Involving More Than One Degree of Freedom4.1: Introduction4.2: Free Response--Undamped System4.3: Forced Response4.4: Vibration Absorbers without Damping4.5: Real Behavior of a Vibration Absorber4.6: Zeros in a Forced Response4.7: Putting Problems into Normal Form4.8: Orthogonality of System Eigenvectors4.9: More on Normal Forms4.10: Linear Damping4.11: Comparison of Damped Eigensolutions4.12: Forced Response of Damped Systems4.13: Symmetry of Mass and Stiffness Matrices4.14: Repeated Frequencies and Zero Frequencies4.15: Influence Coefficients4.16: Homework ProblemsChapter 5. Distributed Systems5.1: Introduction5.2: Free Vibration of a Bar (Rod, String, etc.)5.3: Free Vibration of a Beam5.4: Continuous Systems--Forced Vibration5.5: Orthogonality of Eigenfunctions5.6: Homework ProblemsChapter 6. Approximate Solutions Methods6.1: Introduction6.2: Lumped Approximations6.3: Rayleigh's Quotient6.4: Rayleigh-Ritz Method: Discrete Systems6.5: Rayleigh-Ritz Method: Continuous Problems6.6: Assumed Modes Method6.7: Homework ProblemsChapter 7. Seat-of-the-Pants Engineering7.1: Introduction7.2: Getting Approximate Results7.3: Limiting Cases7.4: Verifying Your Analysis7.5: Homework ProblemsChapter 8. Experimental Methods and Real World Behavior8.1: Introduction8.2: Signal Descriptions8.3: Fourier Transform Analysis8.4: Spectral Analyses8.5: Noise8.6: Sensors and Actuators8.7: Nonlinear Effects8.8: Homework ProblemsAppendix A. Four Continuous SystemsAppendix B. Lumped Spring ConstantsAppendix C. Assorted Material ConstantsAppendix D. Elementary Matrix RelationsReferencesSelected ReadingsAnswers to Selected ProblemsIndex

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