Forced Motion of Elastic Plates

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Abstract
A general method is presented for the solution of dynamic boundary-value problems of elastic plates subjected to time-dependent normal surface loads and/or time-dependent boundary conditions. As a demonstration of the method, an explicit, exact solution of the axisymmetric response of a ring plate is presented. The plate is clamped at the outer boundary and subjected to a suddenly applied transverse shear force which is uniformly distributed over the rotationally restrained inner boundary.

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