Dynamic response of a prestressed, thick strip plate to an impulsive load

This paper is concerned with the dynamic response of an infinitely long thick strip plate. The plate is simply supported at the edges and subjected to initial in‐plane stresses parallel and perpendicular to the edges. It is excited by an impulsive line force. The solution is obtained on the basis of a thick plate theory that takes into account the effects of shear deformation and rotatory inertia. Governing equations are solved by applying the methods of the Laplace transform with respect to time and the Fourier transform with respect to an axial space variable. Numerical results are presented for plates subjected to a lateral load represented by a time function sin2 ωt. The displacement, bending moment, and dynamic coefficients (maximum dynamic displacement/static displacement, maximum dynamic bending moment/static bending moment) are calculated and shown graphically for several values of the parameters involved.