This book discusses free vibration of single-degree-of-freedom (SDOF) systems and forced vibration of SDOF systems. It covers response to periodic dynamic loadings and impulse loads and two degrees of freedom linear system response methods and free vibration of multiple degrees of freedom. Topics include time history response by natural mode superposition, numerical solution methods for natural frequencies and mode shapes and differential quadrature, transformation, and Finite Element methods for vibration problems. The book also touches on earthquake ground motion, response spectra, and earthquake analysis of linear systems are discussed. Worked examples in Mathematica and Matlab are given.
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Introduction to Dynamics. Structural Dynamics In Relation To Earthquakes. Free Vibration of Single-Degree-of-Freedom Systems (Undamped) in Relation to Structural Dynamics During Earthquakes. Free Vibration of Single-Degree-of-Freedom Systems (Under-Damped) in Relation to Structural Dynamics During Earthquakes. Forced Vibration (Harmonic Force) of Single-Degree-of-Freedom Systems in Relation to Structural Dynamics During Earthquakes. Response of Structures to Periodic Dynamic Loadings. Response of Structures to Impulse Loads. Dynamic Response of Structures Using Numerical Methods. Generalized Coordinates and Energy Methods in Relation to Structural Dynamics During Earthquakes. Two-Degrees-of-Freedom Linear System Response of Structures. Free Vibration of Multiple Degrees of Freedom in Relation to Structural Dynamics During Earthquakes. Numerical Solution Methods for Natural Frequencies and Mode Shapes in Relation to Structural Dynamics During Earthquakes. Time History Response by Mode Superposition in Relation to Structural Dynamics During Earthquakes. Free and Forced Vibration of a Continuous System in Relation to Structural Dynamics During Earthquakes. Finite Element Method in Relation to Structural Dynamics During Earthquakes. Differential Quadrature and Transformation Methods for Vibration Problems in Relation to Structural Dynamics During Earthquakes. Response of Structures to Earthquakes. Earthquakes and Earthquake Ground Motion. Earthquake Response Spectra. Earthquake Analysis of Linear Systems. Building Codes for Aseismic Design. Response of Structures to Earthquakes: Approximate Analysis Techniques For Lateral Loads. Response of Structures to Earthquakes: Analysis of Shear Walls.
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