The Impulsive Response of an Infinitely Long Prestressed Thick Strip Plate

Abstract

This paper is a study of the dynamic response of an isotropic plate strip to an impulsive load. The plate is of infinite length, simply supported along the edges, resting on a viscoelastic foundation, and is subjected to in-plane stresses parallel and perpendicular to the edges. The problem is studied on the basis of a plate theory, in which the effects of rotatory inertias and shear deformations are retained. Governing equations are solved by applying the methods of the Laplace transform with respect to time, and the Fourier transform with respect to a space variable. The displacement, the bending moment and the dynamic coefficient of the plate are calculated and shown graphically for several values of the initial stress parameters.