Abstract
Nonlinear oscillations of a clamped circular composite plate with a con centric rigid mass have received limited attention. A study of the above motion has been made in this paper. Using the method of variational calculus, the governing differential equations of motion and the associate boundary conditions are derived. Due to the coupled and complex differential equations, the Ritz-Kantorovich averaging method was applied to eliminate the time variable and reduce the governing equations to a system of nonlinear or dinary differential equations. Then, the Runge-Kutta-Gill integration method was applied to obtain numerical solutions which provide the valuable data to the designer in under standing of the frequency response of the clamped circular composite plates carrying a concentric rigid mass.
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