Static stability investigation of a tapered asymmetric sandwich beam supported on variable Pasternak foundation

Abstract

Abstract The investigation to analyse a sandwich beam’s static stability with asymmetric configuration, tapered along the thickness, placing on a Pasternak foundation having linearly varying stiffness and influenced by an alive axial load is executed for several boundary conditions employing computational method. Use of Hamilton’s principle results in the equations of motion and related boundary conditions. Hill’s equations are achieved from the non-dimensionalized equations of motion with the use of Galerkin’s method. Then, the effects of various parameters on the static stability for different boundary conditions are obtained and are showcased in a sequence of graphs using the appropriate MATLAB program.