The large amplitude vibrations of thin elastic plates and shallow shells having various boundary conditions and subjected to random excitation are investigated by using various approximate techniques.The random vibrations of rectangular plates and circular plates subjected to white random excitation are simulated numerically by two different methods. The first method is that the governing equations are reduced to a single-degree-of-freedom dynamical system and the reduced equation is then integrated numerically by the Runge6Kutta method employing the simulated approximate white noise as an input.
Abstract. The nonlinear equations describing axisymmetric finite amplitude response of a thin elastic clamped edge circular plate to pulse loading are solved by finite difference techniques for the case of a spatially uniform load which timewise is represented as a step function. Damping of the plate is considered.
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