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Principles of Vibration

Second Edition

Benson H. Tongue

Publication Date - December 2001

ISBN: 9780195142464

528 pages
7-1/2 x 9-1/4 inches

Retail Price to Students: $244.99


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 that the 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. Tongue provides 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 of Vibration, Second Edition is an ideal text for senior undergraduates and graduate students in mechanical, civil, and aeronautical engineering departments.

--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 MATLAB®
--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

Previous Publication Date(s)

April 1996

Table of Contents

    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
    2.4. 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
    Selected Readings
    Answers to Selected Problems