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| Preface | |
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| Introduction to Vibration and the Free Response | |
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| Introduction to Free Vibration | |
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| Harmonic Motion | |
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| Viscous Damping | |
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| Modeling and Energy Methods | |
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| Stiffness | |
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| Measurement | |
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| Design Considerations | |
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| Stability | |
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| Numerical Simulation of the Time Response | |
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| Coulomb Friction and the Pendulum | |
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| Problems | |
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| MATLAB Engineering Vibration Toolbox | |
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| Toolbox Problems | |
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| Response to Harmonic Excitation | |
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| Harmonic Excitation of Undamped Systems | |
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| Harmonic Excitation of Damped Systems | |
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| Alternative Representations | |
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| Base Excitation | |
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| Rotating Unbalance | |
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| Measurement Devices | |
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| Other Forms of Damping | |
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| Numerical Simulation and Design | |
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| Nonlinear Response Properties | |
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| Problems | |
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| MATLAB Engineering Vibration Toolbox | |
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| Toolbox Problems | |
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| General Forced Response | |
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| Impulse Response Function | |
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| Response to an Arbitrary Input | |
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| Response to an Arbitrary Periodic Input | |
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| Transform Methods | |
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| Response to Random Inputs | |
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| Shock Spectrum | |
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| Measurement via Transfer Functions | |
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| Stability | |
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| Numerical Simulation of the Response | |
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| Nonlinear Response Properties | |
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| Problems | |
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| MATLAB Engineering Vibration Toolbox | |
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| Toolbox Problems | |
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| Multiple-Degree-of-Freedom Systems | |
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| Two-Degree.-of-Freedom Model (Undamped) | |
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| Eigenvalues and Natural Frequencies | |
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| Modal Analysis | |
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| More Than Two Degrees of Freedom | |
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| Systems with Viscous Damping | |
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| Modal Analysis of the Forced Response | |
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| Lagrange's Equations | |
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| Examples | |
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| Computational Eigenvalue Problems for Vibration | |
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| Numerical Simulation of the Time Response | |
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| Problems | |
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| MATLAB Engineering Vibration Toolbox | |
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| Toolbox Problems | |
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| Design for Vibration Suppression | |
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| Acceptable Levels of Vibration | |
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| Vibration Isolation | |
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| Vibration Absorbers | |
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| Damping in Vibration Absorption | |
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| Optimization | |
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| Viscoelastic Damping Treatments | |
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| Critical Speeds of Rotating Disks | |
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| Problems | |
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| MATLAB Engineering Vibration Toolbox | |
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| Toolbox Problems | |
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| Distributed-Parameter Systems | |
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| Vibration of a String or Cable | |
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| Modes and Natural Frequencies | |
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| Vibration of Rods and Bars | |
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| Torsional Vibration | |
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| Bending Vibration of a Beam | |
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| Vibration of Membranes and Plates | |
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| Models of Damping | |
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| Modal Analysis of the Forced Response | |
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| Problems | |
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| MATLAB Engineering Vibration Toolbox | |
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| Toolbox Problems | |
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| Vibration Testing and Experimental Modal Analysis | |
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| Measurement Hardware | |
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| Digital Signal Processing | |
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| Random Signal Analysis in Testing | |
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| Modal Data Extraction | |
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| Modal Parameters by Circle Fitting | |
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| Mode Shape Measurement | |
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| Vibration Testing for Endurance and Diagnostics | |
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| Operational Deflection Shape Measurement | |
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| Problems | |
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| MATLAB Engineering Vibration Toolbox | |
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| Toolbox Problems | |
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| Finite Element Method | |
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| Example: The Bar | |
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| Three-Element Bar | |
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| Beam Elements | |
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| Lumped-Mass Matrices | |
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| Trusses | |
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| Model Reduction | |
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| Problems | |
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| MATLAB Engineering Vibration Toolbox | |
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| Toolbox Problems | |
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| Complex Numbers and Functions | |
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| Laplace Transforms | |
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| Matrix Basics | |
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| The Vibration Literature | |
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| List of Symbols | |
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| Codes and Web Sites | |
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| Engineering Vibration Toolbox and Web Support | |
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| References | |
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| Answers to Selected Problems | |
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| Index | |