Principles of Vibration

Hardcover | December 15, 2001

byBenson H. Tongue

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In this second edition of Principles of Vibration, Benson H. Tongue takes a refreshingly informal approach to the understanding and analysis of vibration problems. His student-friendly style creates a sense of "one-on-one" communication to which students respond with enthusiasm, declaring thatthe text is enjoyable, informative, and even "good bedtime reading." The text material can be used in a first vibrations course and in advanced undergraduate/beginning graduate courses. Some familiarity with linear algebra, elementary deformable bodies, and beginning dynamics is assumed. Tongueprovides a basic understanding of the principles of vibrations, presenting the core ideas and theories that define the field. Starting with classical material--single-degree-of-freedom systems--he branches out into modern topics, emphasizing multiple-degree-of-freedom systems. Principles ofVibration, Second Edition is an ideal text for senior undergraduates and graduate students in mechanical, civil, and aeronautical engineering departments. Features * Features a student-centric presentation that emphasizes the understanding of basic concepts * Provides modal analysis and linear algebra tools to solve vibration problems * Contains general solution techniques and specific approaches using MATLABRG * Includes a wide array of problems from various disciplines * Contains 126 completely new homework problems, 100 modified problems, and 13 new examples * Contains a unique chapter on "Seat-of-the-Pants" engineering, giving novices the "tricks of the trade" that provide fast and accurate estimations of the real solution to a problem

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From the Publisher

In this second edition of Principles of Vibration, Benson H. Tongue takes a refreshingly informal approach to the understanding and analysis of vibration problems. His student-friendly style creates a sense of "one-on-one" communication to which students respond with enthusiasm, declaring thatthe text is enjoyable, informative, and eve...

Benson H. Tongue is at University of California, Berkeley.

other books by Benson H. Tongue

Format: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

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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