Elastic buckling of a sandwich rectangular plate simply-supported by three edges and one edge free

摘要

The paper is devoted to a compressed sandwich rectangular plate. It is assumed that the plate under consideration is symmetrical in build and consists of two isotropic facings and a core. The core is made of metal foam with properties vary across its thickness. The core of three layered plate is of continuous structure, while its mechanical properties are isotropic. Dimensionless coefficients are introduced to compen-sate for this. The field of displacements and geometric relationships are assumed. The principle of stationarity of the total potential energy of the compressed sandwich plate are used and a system of algebraic equations are formulated. This system of equations is then analytically solved with Ritz's method. Critical loads of a family of sandwich plates are numerically determined based on the analytical and FEM solution. Results of the calculation are shown in respective figures.