Abstract
In this paper an analytical procedure is developed to calculate the response of an inelastic annular plate on a distributed foundation to shock-pulse excitation. The shock pulse is applied to the inner edge of the annulus. The dynamic system is expressed by a second-order nonlinear partial differential equation. For a more general approach, certain nondimensional parameters are used—a ratio of the pulse duration to the fundamental natural period of the system, the ratio of the stiffness of the plate to that of the foundation, the ratio of the critical yielding moment to the maximum amplitude of the shock pulse, and the ratio of the inner to outer radii of the system. The shock excitation used is a 12-sine pulse. The Tresca yield criterion is used to describe the inelastic behavior of the plate. The technique of solution for deflection and moments is verified by allowing the model to degenerate into well-known limiting cases. The response spectra for deflection and moments are presented for variations in parameters.
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