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| Preface | |
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| The SI System of Units | |
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| Oscillatory Motion | |
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| Harmonic Motion | |
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| Periodic Motion | |
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| Vibration Terminology | |
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| Free Vibration | |
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| Vibration Model | |
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| Equations of Motion: Natural Frequency | |
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| Energy Method | |
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| Rayleigh Method: Effective Mass | |
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| Principle of Virtual Work | |
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| Viscously Damped Free Vibration | |
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| Logarithmic Decrement | |
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| Coulomb Damping | |
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| Harmonically Excited Vibration | |
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| Forced Harmonic Vibration | |
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| Rotating Unbalance | |
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| Rotor Unbalance | |
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| Whirling of Rotating Shafts | |
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| Support Motion | |
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| Vibration Isolation | |
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| Energy Dissipated by Damping | |
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| Equivalent Viscous Damping | |
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| Structural Damping | |
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| Sharpness of Resonance | |
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| Vibration-Measuring Instruments | |
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| Transient Vibration | |
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| Impulse Excitation | |
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| Arbitrary Excitation | |
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| Laplace Transform Formulation | |
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| Pulse Excitation and Rise Time | |
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| Shock Response Spectrum | |
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| Shock Isolation | |
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| Finite Difference Numerical Computation | |
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| Runge-Kutta Method (Method 2) | |
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| Systems With Two Or More Degrees of Freedom | |
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| The Normal Mode Analysis | |
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| Initial Conditions | |
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| Coordinate Coupling | |
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| Forced Harmonic Vibration | |
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| Digital Computation | |
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| Vibration Absorber | |
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| Centrifugal Pendulum Vibration Absorber | |
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| Vibration Damper | |
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| Properties of Vibrating Systems | |
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| Flexibility Influence Coefficients | |
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| Reciprocity Theorem | |
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| Stiffness Influence Coefficients | |
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| Stiffness Matrix of Beam Elements | |
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| Static Condensation for Pinned Joints | |
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| Orthogonality of Eigenvectors | |
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| Modal Matrix P | |
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| Decoupling Forced Vibration Equations | |
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| Modal Damping in Forced Vibration | |
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| Normal Mode Summation | |
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| Equal Roots | |
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| Unrestrained (Degenerate) Systems | |
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| Lagrange's Equation | |
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| Generalized Coordinates | |
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| Virtual Work | |
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| Lagrange's Equation | |
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| Kinetic Energy, Potential Energy, and Generalized Force in Terms of Generalized Coordinates q | |
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| Assumed Mode Summation | |
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| Computational Methods | |
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| Root Solving | |
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| Gauss Elimination | |
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| Matrix Iteration | |
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| Convergence of the Iteration Procedure | |
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| Convergence to Higher Modes | |
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| The Dynamic Matrix | |
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| Transformation of Coordinates (Standard Computer Form) | |
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| Systems with Discrete Mass Matrix | |
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| Cholesky Decomposition | |
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| Jacobi Diagonalization | |
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| Computer Program Notes | |
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| Description of Computer Programs | |
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| Vibration of Continuous Systems | |
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| Vibrating String | |
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| Longitudinal Vibration of Rods | |
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| Torsional Vibration of Rods | |
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| Vibration of Suspension Bridges | |
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| Euler Equation for Beams | |
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| Effect of Rotary Inertia and Shear Deformation | |
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| System with Repeated Identical Sections | |
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| Introduction to the Finite Element Method | |
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| Element Stiffness and Mass | |
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| Stiffness and Mass for the Beam Element | |
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| Transformation of Coordinates (Global Coordinates) | |
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| Element Stiffness and Element Mass in Global Coordinates | |
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| Vibrations Involving Beam Elements | |
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| Spring Constraints on Structure | |
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| Generalized Force for Distributed Load | |
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| Generalized Force Proportional to Displacement | |
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| Mode-Summation Procedures for Continuous Systems | |
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| Mode-Summation Method | |
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| Beam Orthogonality Including Rotary Inertia and Shear Deformation | |
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| Normal Modes of Constrained Structures | |
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| Mode-Acceleration Method | |
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| Component-Mode Synthesis | |
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| Classical Methods | |
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| Rayleigh Method | |
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| Dunkerley's Equation | |
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| Rayleigh-Ritz Method | |
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| Holzer Method | |
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| Digital Computer Program for the Torsional System | |
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| Myklestad's Method for Beams | |
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| Coupled Flexure-Torsion Vibration | |
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| Transfer Matrices | |
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| Systems with Damping | |
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| Geared System | |
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| Branched Systems | |
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| Transfer Matrices for Beams | |
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| Random Vibrations | |
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| Random Phenomena | |
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| "Time Averaging and Expected Value | |
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| Frequency Response Function | |
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| Probability Distribution | |
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| Correlation | |
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| Power Spectrum and Power Spectral Density | |
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| Fourier Transforms | |
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| FTs and Response | |
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| Nonlinear Vibrations | |
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| Phase Plane | |
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| Conservative Systems | |
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| Stability of Equilibrium | |
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| Method of Isoclines | |
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| Perturbation Method | |
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| Method of Iteration | |
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| Self-Excited Oscillations | |
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| Runge-Kutta Method | |
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| App. A: Specifications of Vibration Bounds | |
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| App. B: Introduction to Laplace Transformation | |
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| App. C: Determinants and Matrices | |
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| App. D: Normal Modes of Uniform Beams | |
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| App. E: Lagrange's Equation | |
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| App. F: Computer Programs | |
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| Answers to Selected Problems | |
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| Index | |