振动理论及应用（第5版） / 国际著名力学图书·影印版系列
￥68.00定价
作者： William T.Thomson
出版时间：2015年10月
出版社：清华大学出版社
- 清华大学出版社
- 9787302121374
- 1-7
- 163170
- 16开
- 2015年10月
- 工学
- 机械工程
- TH113.1
- 数学
- 本专科、高职高专
内容简介
《国际著名力学图书·影印版系列:振动理论及应用(第5版)》是振动理论的典型教材之一，以讲述线性振动理论为主，从单自由度、多自由度到连续体，从自由振动到强迫振动（包括无阻尼和有阻尼情况），从简谐激励、冲击激励到一般激励，最后两章还介绍了*振动和非线性振动，内容丰富、叙述清晰、例题和习题与工程应用相结合，是一本在国外受到普遍赞赏的畅销教材，至今已经出到第5版。
利用计算机分析多自由度、复杂结构系统动力响应的数值分析方法已经成为解决工程振动问题必不可少的重要手段，在这方面《国际著名力学图书·影印版系列:振动理论及应用(第5版)》为读者打下了坚实的理论基础。第5版更加强了学生利用MATLAB等软件求解工程振动问题能力的训练。
利用计算机分析多自由度、复杂结构系统动力响应的数值分析方法已经成为解决工程振动问题必不可少的重要手段，在这方面《国际著名力学图书·影印版系列:振动理论及应用(第5版)》为读者打下了坚实的理论基础。第5版更加强了学生利用MATLAB等软件求解工程振动问题能力的训练。
目录
PREFACE
THE SI SYSTEM OF UNITS
CHAPTER 1：OSCILLATORY MOTION
1.1 Harmonic Motion
1.2 Periodic Motion
1.3 Vibration Terminology
CHAPTER 2：FREE VIBRATION
2.1 Vibration Model
2.2 Equation of Motion：Natural Frequency
2.3 Energy Method
2.4 Rayleigh Method：Effective Mass
2.5 Principle of Virutal Word
2.6 Viscously Damped Free Vibration
2.7 Logaritymic Decrement
2.8 Coulomb Damping
CHAPTER 3：HARMONICALLY EXCITED VIBRATION
3.1 Forced Harmonic Vibration
3.2 Rotating Unbalance
3.3 Rotor Unblance
3.4 Whirling of Rotaning Shafts
3.5 Suppory Motion
3.6 Vibration Isolation
3.7 Energy Dissipated by Damping
3.8 Equvalent Viscous Damping
3.9 Structural Damping
3.10 Sharpness of Resonance
3.11 Vibration—Measuring Instruments
CHAPTER 4：TRANSIENT VIBRATION
4.1 Impulse Excitation
4.2 Arbitrary Excitation
4.3 Laplace Transform Formulation
4.4 Pulse Excitation and Rise Time
4.5 Shock Response Spectrum
4.6 Shock Isolation
4.7 Finite Difference Numerical Comqutatoon
4.8 Runge—Kutta Method
CHAPTER 5：SYSTEMS WITH TWO OR MORE DEGREES OF FREEDOM
5.1 The Normal Mode Analysis
5.2 Initial Conditions
5.3 Coordinate Coupling
5.4 Forced Harmonic Vibration
5.5 Finite Difference Method for Systems of Equations
5.6 Vibration Absorber
5.7 Centrifugal Pendulum Vibration Absorber
5.8 Vibration Damper
CHAPTER 6：PROPERTIES OF VIBRATING SYSTEMS
6.1 Flexibility Influence Coefficients
6.2 Reciprocity Theorem
6.3 Stiffness Influence Coefficients
6.4 Stiffness Matrix of Beam Elements
6.5 Static Condensation for Pinned Joints
6.6 Orthogonality of Eigenvectors
6.7 Modal Matrix
6.8 Decoupling Forced Vibration Equations
6.9 Modal Damping in Forced Vibration
6.10 Normal Mode Summation
6.11 Equal Roots
6.12 Unrestrained （Degenerate） Systems
CHAPTER 7：LAGRANGE'S EQUATION
7.1 Generalized Coordinates
7.2 Virtual Work
7.3 Lagrange's Equation
7.4 Kinetic Energy， Potential Energy， and Generalized Force in Terms of Generalized Coordinates q
7.5 Assumed Mode Summation
CHAPTER 8：COMPUTATIONAL METHODS
8.1 Root Solving
8.2 Eigenvectors by Gauss Elimination
8.3 Matrix Iteration
8.4 Convergence of the Iteration Procedure
8.5 The Dynamic Matrix
8.6 Transformation Coordinates （Standard Computer Form）
8.7 Systems with Discrete Mass Matrix
8.8 Cholesky Decomposition
8.9 Jacobi Diagonalization
8.10 QR Method for Eigenvalue and Eigenvector Calculation
CHAPTER 9：VIBRATION OF CONTINUOUS SYSTEMS
9.1 Vibrating String
9.2 Longitudinal Vibration of Rods
9.3 Torsional Vibration of Rods
9.4 Vibration of Suspension Bridges
9.5 Euler Equation for Beams
9.6 System with Repeated Identical Sections
……
CHAPTER 10：INTRODUCTION TO THE FINITE ELEMENT METHOD
CHAPTER 11：MODE—SUMMATION PROCEDURES FOR CONTINUOUS SYSTEMS
CHAPTER 12：CLASSICAL METHODS
CHAPTER 13：RANDOM VIBRATIONS
CHAPTER 14：NONLINEAR VIBRATIONS
APPENDICES
ANSWERS TO SELECTED PROBLEMS INDEX
THE SI SYSTEM OF UNITS
CHAPTER 1：OSCILLATORY MOTION
1.1 Harmonic Motion
1.2 Periodic Motion
1.3 Vibration Terminology
CHAPTER 2：FREE VIBRATION
2.1 Vibration Model
2.2 Equation of Motion：Natural Frequency
2.3 Energy Method
2.4 Rayleigh Method：Effective Mass
2.5 Principle of Virutal Word
2.6 Viscously Damped Free Vibration
2.7 Logaritymic Decrement
2.8 Coulomb Damping
CHAPTER 3：HARMONICALLY EXCITED VIBRATION
3.1 Forced Harmonic Vibration
3.2 Rotating Unbalance
3.3 Rotor Unblance
3.4 Whirling of Rotaning Shafts
3.5 Suppory Motion
3.6 Vibration Isolation
3.7 Energy Dissipated by Damping
3.8 Equvalent Viscous Damping
3.9 Structural Damping
3.10 Sharpness of Resonance
3.11 Vibration—Measuring Instruments
CHAPTER 4：TRANSIENT VIBRATION
4.1 Impulse Excitation
4.2 Arbitrary Excitation
4.3 Laplace Transform Formulation
4.4 Pulse Excitation and Rise Time
4.5 Shock Response Spectrum
4.6 Shock Isolation
4.7 Finite Difference Numerical Comqutatoon
4.8 Runge—Kutta Method
CHAPTER 5：SYSTEMS WITH TWO OR MORE DEGREES OF FREEDOM
5.1 The Normal Mode Analysis
5.2 Initial Conditions
5.3 Coordinate Coupling
5.4 Forced Harmonic Vibration
5.5 Finite Difference Method for Systems of Equations
5.6 Vibration Absorber
5.7 Centrifugal Pendulum Vibration Absorber
5.8 Vibration Damper
CHAPTER 6：PROPERTIES OF VIBRATING SYSTEMS
6.1 Flexibility Influence Coefficients
6.2 Reciprocity Theorem
6.3 Stiffness Influence Coefficients
6.4 Stiffness Matrix of Beam Elements
6.5 Static Condensation for Pinned Joints
6.6 Orthogonality of Eigenvectors
6.7 Modal Matrix
6.8 Decoupling Forced Vibration Equations
6.9 Modal Damping in Forced Vibration
6.10 Normal Mode Summation
6.11 Equal Roots
6.12 Unrestrained （Degenerate） Systems
CHAPTER 7：LAGRANGE'S EQUATION
7.1 Generalized Coordinates
7.2 Virtual Work
7.3 Lagrange's Equation
7.4 Kinetic Energy， Potential Energy， and Generalized Force in Terms of Generalized Coordinates q
7.5 Assumed Mode Summation
CHAPTER 8：COMPUTATIONAL METHODS
8.1 Root Solving
8.2 Eigenvectors by Gauss Elimination
8.3 Matrix Iteration
8.4 Convergence of the Iteration Procedure
8.5 The Dynamic Matrix
8.6 Transformation Coordinates （Standard Computer Form）
8.7 Systems with Discrete Mass Matrix
8.8 Cholesky Decomposition
8.9 Jacobi Diagonalization
8.10 QR Method for Eigenvalue and Eigenvector Calculation
CHAPTER 9：VIBRATION OF CONTINUOUS SYSTEMS
9.1 Vibrating String
9.2 Longitudinal Vibration of Rods
9.3 Torsional Vibration of Rods
9.4 Vibration of Suspension Bridges
9.5 Euler Equation for Beams
9.6 System with Repeated Identical Sections
……
CHAPTER 10：INTRODUCTION TO THE FINITE ELEMENT METHOD
CHAPTER 11：MODE—SUMMATION PROCEDURES FOR CONTINUOUS SYSTEMS
CHAPTER 12：CLASSICAL METHODS
CHAPTER 13：RANDOM VIBRATIONS
CHAPTER 14：NONLINEAR VIBRATIONS
APPENDICES
ANSWERS TO SELECTED PROBLEMS INDEX
