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| SINGLE-DEGREE-OF-FREEDOM SYSTEMS | |
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| Equations of Motion, Problem Statement, and Solution Methods | |
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| Simple Structures | |
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| Single-Degree-of-Freedom System | |
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| Force-Displacement Relation | |
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| Damping Force | |
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| Equation of Motion: External Force | |
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| Mass-Spring-Damper System | |
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| Equation of Motion: Earthquake Excitation | |
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| Problem Statement and Element Forces | |
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| Combining Static and Dynamic Responses | |
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| Methods of Solution of the Differential Equation | |
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| Study of SDF Systems: Organization | |
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| Appendix 1: Stiffness Coefficients for a Flexural Element | |
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| Free Vibration | |
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| Undamped Free Vibration | |
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| Viscously Damped Free Vibration | |
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| Energy in Free Vibration | |
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| Coulomb-Damped Free Vibration | |
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| Response to Harmonic and Periodic Excitations | |
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| Viscously Damped Systems: Basic Results | |
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| Harmonic Vibration of Undamped Systems | |
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| Harmonic Vibration with Viscous Damping | |
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| Viscously Damped Systems: Applications | |
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| Response to Vibration Generator | |
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| Natural Frequency and Damping from Harmonic Tests | |
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| Force Transmission and Vibration Isolation | |
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| Response to Ground Motion and Vibration Isolation | |
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| Vibration-Measuring Instruments | |
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| Energy Dissipated in Viscous Damping | |
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| Equivalent Viscous Damping | |
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| Systems with Nonviscous Damping | |
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| Harmonic Vibration with Rate-Independent Damping | |
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| Harmonic Vibration with Coulomb Friction | |
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| Response to Periodic Excitation | |
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| Fourier Series Representation | |
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| Response to Periodic Force | |
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| Appendix 3: Four-Way Logarithmic Graph Paper | |
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| Response to Arbitrary, Step, and Pulse Excitations | |
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| Response to Arbitrarily Time-Varying Forces | |
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| Response to Unit Impulse | |
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| Response to Arbitrary Force | |
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| Response to Step and Ramp Forces | |
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| Step Force | |
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| Ramp or Linearly Increasing Force | |
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| Step Force with Finite Rise Time | |
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| Response to Pulse Excitations | |
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| Solution Methods | |
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| Rectangular Pulse Force | |