Stability of an asymmetric tapered sandwich beam resting on a variable Pasternak foundation subjected to a pulsating axial load with thermal gradient

Abstract

The static and parametric stability of an asymmetric tapered sandwich beam resting on a variable Pasternak foundation subjected to a pulsating axial load with thermal gradient under two different boundary conditions is investigated. The complete mathematical modeling of the system has been derived by the application of Hamilton’s principle which helps in getting the admissible path for the system. The equations of motion and boundary conditions obtained from the Hamilton’s equation are non-dimensionalized. A set of Hill’s equation are obtained from the non-dimensional equations of motion by the application of generalized Galerkin’s method. The zones of parametric instability are obtained using Saito–Otomi conditions. The effects of taper, elastic foundation, thermal gradient, core-loss factor, geometric parameter, modulus ratios and shear parameter on static buckling loads and parametric regions of instability are investigated.