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Introduction | |
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Introduction | |
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Preliminaries from Dynamics | |
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Summary | |
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Exercises | |
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Modeling of Vibratory Systems | |
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Introduction | |
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Inertia Elements | |
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Stiffness Elements | |
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Dissipation Elements | |
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Model Construction | |
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Design for Vibration | |
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Summary | |
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Exercises | |
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Single Degree-of-Freedom Systems: Governing Equations | |
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Introduction | |
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Force-Balance and Moment-Balance Methods | |
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Natural Frequency and Damping Factor | |
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Governing Equations for Different Types of Damping | |
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Governing Equations for Different Types of Applied Forces | |
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Lagranges Equations | |
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Summary | |
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Exercises | |
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Single Degree-of-Freedom System: Solution for Response and Free-Response Characteristics | |
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Introduction | |
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Free Responses of Undamped and Damped Systems | |
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Stability of Single Degree-of-Freedom System | |
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Machine Tool Chatter | |
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Single Degree-of-Freedom Systems with Nonlinear Elements | |
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Summary | |
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Exercises | |
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Single Degree-of-Freedom Systems Subjected to Periodic Excitations | |
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Introduction | |
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Response to Harmonic Excitation | |
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Frequency-Response Function | |
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Systems with Rotating Unbalanced Mass | |
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Systems with Base Excitation | |
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Acceleration Measurement: Accelerometer | |
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Vibration Isolation | |
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Energy Dissipation and Equivalent Damping | |
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Response to Excitation with Harmonic Components | |
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Influence of Nonlinear Stiffness on Forced Response | |
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Summary | |
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Exercises | |
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Single Degree-of-Freedom Systems Subjected to Transient Excitations | |
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Introduction | |
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Response to Impulse Excitation | |
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Response to Step Input | |
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Response to Ramp Input | |
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Spectral Energy of the Response | |
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Response to Rectangular Pulse Excitation | |
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Response to Half-Sine Wave Pulse | |
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Impact Testing | |
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Summary | |
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Exercises | |
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Multiple Degree-of-Freedom Systems: Governing Equations and Natural Frequencies and Mode Shapes | |
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Introduction | |
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Governing Equations | |
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Free Responses | |
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Rotating Shafts on Flexible Supports | |
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Stability | |
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Summary | |
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Exercises | |
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Multiple Degree-of-Freedom Systems: General Solution for Response and Forced Oscillations | |
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Introduction | |
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Normal-Mode Approach | |
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State-Space Formulation | |
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Laplace Transform Approach | |
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Transfer Functions and Frequency-Response Functions | |
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Vibration Absorbers | |
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Vibration Isolation: Transmissibility Ratio | |
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Systems with Moving Base | |
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Summary | |
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Exercises | |
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Vibrations of Beams | |
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Introduction | |
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Governing Equations of Motion | |
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Free Oscillations: Natural Frequencies and Mode Shapes | |
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Forced Oscillations | |
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Summary | |
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Glossary | |
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Appendix | |
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Laplace Transform Pairs | |
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Fourier Series | |