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 Kiic Energy， Potential Energy， and Generalized Force in Terms of Generalized Coordinates q
7.5 Assumed Mode Summation
CHAPTER 8：PUTATIONAL 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 Deposition
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
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