Principles of Vibration by Benson H. TonguePrinciples of Vibration by Benson H. Tongue

Principles of Vibration

byBenson H. Tongue

Hardcover | December 15, 2001

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This second edition of Principles of Vibration takes a refreshingly informal approach to the understanding and analysis of vibration problems. The student-friendly style provides a basic understanding of the principles of vibrations, presenting the core ideas and theories that define thefield. Starting with classical material -- single-degree-of-freedom systems -- the text then branches out into modern topics, emphasizing multiple-degree-of-freedom systems.
Benson H. Tongue is at University of California, Berkeley.
Title:Principles of VibrationFormat:HardcoverDimensions:528 pages, 7.72 × 9.41 × 1.3 inPublished:December 15, 2001Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0195142462

ISBN - 13:9780195142464


Table of Contents

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