Abstract

A structural system consisting of multiple interconnected mass and flexibilities is modelled as a simple oscillator and the response is studied. The governing equations are derived based on the principle of virtual work. Raleigh's method is employed to approximate the fundamental frequency of continuous system. Hamilton's principle is derived and the general dynamic equilibrium equations are obtained using Lagrange's equations. A program in MATHEMATICA is given to obtain the dynamic equilibrium equations once Lagrange equation is given.

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