Fundamental Frequency of an Isosceles-triangular Plate

Abstract

The problem of natural vibrations of an isosceles-triangular plate with all edges clamped or with two equal edges clamped and the base edge supported is treated in this paper by means of the energy method, which was applied by one of the authors to the eigenvalue problems of a rhomboidal plate with all edges clamped. Numerical values of the fundamental frequencies are calculated for plates with several contained angles, and they are checked by experiments.