Introduction : Types of dynamic loads – Basic background of methods available and motivation for structural dynamics.
Dynamics of Single Degree-of-Freedom Structures : Dynamic equation of equilibrium – Free vibration of single degree of freedom systems – Forced vibration: harmonic and periodic loadings – Dynamic response functions, force transmission and vibration isolation – SDOF response to arbitrary functions.
Numerical Evaluation of Dynamic Response of SDOF Systems : Time domain analysis: finite difference methods – Frequency domain analysis: basic methodology.
Earthquake Response of SDOF Systems : Earthquake excitation, response history and construction of response spectra – Response spectrum characteristics, tripartite plot, and design spectrum – Multi Degree of Freedom Systems – Basics : Dynamic equations of equilibrium – static condensation – Symmetricplan and plan-asymmetric systems.
Free Vibration Response of MDOF Systems : Undamped systems: natural modes and their properties – Numerical solution for the eigenvalue problem – Solution of free vibration response for undamped systems – Free vibration analysis of systems with damping.
Dynamic Analysis of Linear MDOF Systems : Introduction, modal analysis – Response-history for earthquake excitations using modal analysis – Response spectrum analysis for peak responses – Concept of Caughey damping as a general type of proportional damping.
Generalized Single Degree of Freedom Systems : Basic concepts, mass-spring system – Lumped mass systems – Systems with distributed mass and elasticity – Rayleigh’s method, shape function selection.
Introduction to Dynamics of Continuous Systems : Equations of motions for axial vibration of a beam – Equations of motion for flexural vibration of a beam – Free vibration analysis – Introduction to forced vibration analysis using modal superposition method.
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