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VIBRATION (ERT 452/3): Vibration

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COURSE SYNOPSIS

Introduction to the fundamental of vibration, Derivation of equation of motion. Principles of work-energy. Vibration of mechnical systems. Derivation of equivalent mass equation, rigidity and damping of mechanical systems. Vibration of free single-degree of freedom systems. Harmonic excitation of single-degree-of-freedom systems. Response of single-degree-offreedom systems on the harmonic and periodic excitation. Vibration of transient single-degree-offreedom systems. Derivation of equation of motion for single-degree-offreedom systems. Derivation of equation of motion for single undamped free vibration system. Multi-degree-of-freedom systems, Derivation of differential equation Newton’s equation, Lagrange, matrix formulations, free-vibration of multi degree of freedom systems. Forced-vibration of multi-degree-offreedom systems. String, beam and rod continuous vibration system, Rayleigh and Rayleigh-RTitz’s rules. Application of finite element rules in vibration. Non linear vibration.

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