Membrane Mode Solutions for Impulsively Loaded Circular Plates

Abstract

Large deflections of a clamped circular plate subjected to axially symmetric impulsive loading are obtained by means of the mode approximation technique. The mode shapes and accelerations are determined by equations assuming simple membrane action. The predicted deflections and response times are compared with quantities measured in recently published experiments on plates of steel, titanium, and lead. In view of the extreme simplicity of the approximate method, the good agreement at large deflections, observed in the case of the two structural metals, is of practical interest.