Static and dynamic stability analysis of an asymmetric sandwich beam resting on a variable pasternak foundation subjected to thermal gradient

Abstract

The purpose of the article is to analyze the static and dynamic stability of an asymmetric sandwich beam with viscoelastic core lying on a variable Pasternak foundation under the action of a pulsating axial load subjected to one-dimensional thermal gradient under three different boundary conditions by the computational method. A set of Hill’s equation has been obtained by the application of Hamilton’s principle along with the generalized Galerkin’s method. The effects of thermal gradient, elastic foundation variation parameter, thickness ratio of two elastic layers, the ratio of modulus of the shear layer of Pasternak foundation to the young’s modulus of elastic layer, the ratio of the length of the beam to the thickness of the elastic layer, the ratio of in phase shear modulus of the viscoelastic core to the young’s modulus of the elastic layer, the ratio of thickness of Pasternak foundation to the length of the beam, coreloss factor on the non-dimensional static buckling loads and on the regions of parametric instability are studied.