VIBRATION OF CERTAIN SQUARE PLATES HAVING SIMILAR ADJACENT EDGES

Abstract

The fundamental frequencies of flexural vibration are determined for thin uniform elastic square plates that have two adjacent edges either clamped or simply supported and that always have the other two adjacent edges free; a pin-point support exists at the intersection of the free edges. Finite difference methods, which simplify the treatment of the free boundaries for definite values of Poisson's ratio, are used in conjunction with extrapolation procedures to obtain the approximate solutions.