Fundamental Frequency of a Rhomboidal Plate with all Edges Clamped

Abstract

Natural transverse vibrations of rhomboidal plates with all edges clamped are considered in this paper by the method which was used by Trefftz in the buckling problem of square plate. As numerical examples, fundamental frequencies of rhomboidal plates for several inner angles are calculated. Conversency of the solution becomes worse as the inner angle goes apart from 90°C, but all numerical results calculated here are considered to be within accuracy required for practical purposes, and they can be checked by experiment.