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Edition: 2ND 02

Copyright: 2002

Publisher: Oxford University Press

Published: 2002

International: No

Copyright: 2002

Publisher: Oxford University Press

Published: 2002

International: No

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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 BL Features a student-centric presentation that emphasizes the understanding of basic concepts BL Provides modal analysis and linear algebra tools to solve vibration problems BL Contains general solution techniques and specific approaches using MATLABRG BL Includes a wide array of problems from various disciplines BL Contains 126 completely new homework problems, 100 modified problems, and 13 new examples BL 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

**Tongue, Benson H. : University of California, Berkeley**

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

Summary

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 BL Features a student-centric presentation that emphasizes the understanding of basic concepts BL Provides modal analysis and linear algebra tools to solve vibration problems BL Contains general solution techniques and specific approaches using MATLABRG BL Includes a wide array of problems from various disciplines BL Contains 126 completely new homework problems, 100 modified problems, and 13 new examples BL 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

Author Bio

**Tongue, Benson H. : University of California, Berkeley**

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 2.3. 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

Publisher Info

Publisher: Oxford University Press

Published: 2002

International: No

Published: 2002

International: No

**Tongue, Benson H. : University of California, Berkeley**

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