Fundamental Frequencies of Simply Supported but Partially Clamped Square Plates

Abstract

The present paper deals with the fundamental vibrations of simply supported but partially clamped square plates. The energy method is applied, which was proposed in the previous paper for solving the general problems of statical deflections, stationary vibrations, bucklings, etc. of rectangular plates. Numerical calculations are carried out for fourteen cases, and five diagrams are obtained which give the fundamental frequencies of the square plates under typical boundary conditions.