Compressive or Shearing Buckling Load and Fundamental Frequency of a Rhomboidal Plate with All Edges Clamped

Abstract

Buckling problems of a rhomboidal plate with all edges clamped, on which compressive or shearing force is applied along its edges, are studied in this paper by using the energy method (Lagrangian multiplier method). Natural vibrations of the plate are also considered. The lowest buckling loads and the fundamental frequencies for several oblique angles are calculated. Convergency of the solutions is considered good enough.