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Preface | |
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Basic Concepts of Structural Dynamics | |
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The Dynamic Environment | |
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Types of Dynamic Loading | |
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Basic Principles | |
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Dynamic Equilibrium | |
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Single-Degree-Of-Freedom Systems | |
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Reduction of Degrees of Freedom | |
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Time-Dependent Force | |
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Gravitational Forces | |
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Earthquake Ground Motion | |
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Formulation of Equation of Motion | |
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d' Alembert's Principle | |
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Virtual Work (Virtual Displacements) | |
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Generalized Coordinates | |
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Discreet Parameters | |
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Continuous Parameters | |
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Transformation Factors | |
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Axial Load Effect | |
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Linear Approximation | |
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Free-Vibration Response of Single-Degree-Of-Freedom Systems | |
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Undamped Free Vibration | |
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Alternate Solution | |
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Rayleigh's Method | |
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Selection of Deflected Shape | |
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Damped Free Vibration | |
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Rotating Vector Form | |
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Logarithmic Decrement | |
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Radical Positive | |
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Response to Harmonic Loading | |
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Undamped Dynamic System | |
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Damped Dynamics System | |
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Tripartite Logarithmic Plot | |
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Evaluation of Damping | |
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Seismic Accelerometers and Displacement Meters (Seismographs) | |
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Response to Impulse Loads | |
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Rectangular Pulse | |
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Damped Rectangular Pulse | |
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Triangular Pulse | |
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Approximate Analysis for Short-Duration Impulse Load | |
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Response to Arbitrary Dynamic Loading | |
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Duhamel Integral | |
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Numerical Formulation of the Equations of Motion | |
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Numerical Integration Methods | |
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Newmark's Numerical Method | |
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Multiple-Degree-of-Freedom Systems | |
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Elastic Properties | |
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Flexibility | |
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Stiffness | |
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Inertia | |
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Viscous Damping | |
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Undamped Free Vibration | |
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Free Vibration | |
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Betti's Law | |
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Orthogonality Properties of Mode Shapes | |
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Changing Coordinates (Inverse Transformation) | |
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Holzer Method for Shear Buildings | |
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Axial Load Effects (Linear Approximation) | |
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Modal Equations for Undamped Time-Dependent Force Analysis | |
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Modal Equations of Damped Forced Vibration | |
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Modal Equations for Seismic Response Analysis | |
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Nonlinear Response of Multiple-Degree-of-Freedom Systems | |
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Static Nonlinear Analysis | |
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Dynamic Nonlinear Analysis | |
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Gauss Reduction | |
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MATLAB Applications | |
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Seismic Response of Structures | |
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Introduction | |
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Linear Elastic Response Spectra | |
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Elastic Design Response Spectrum | |
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Earthquake Response of SDOF Systems | |
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Earthquake Response Analysis of MDOF Systems | |
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Time History Modal Analysis | |
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Modal Combinations for Spectral Analyses | |
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Structural Dynamics in the Building Code | |
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Equivalanet Lateral Force Procedure | |
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Modal Response Spectrum Procedure | |
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Appendix - Historical Development of Building Code Seismic Provisions | |
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Selected References | |
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Index | |