Study of dynamic stability of exponentially tapered asymmetric sandwich beam on Pasternak foundation

Abstract

Abstract The work aims at the investigation of dynamic stability of an asymmetric sandwich beam varying exponentially and resting on a Pasternak foundation. The stiffness of the Pasternak foundation varies linearly with displacement. The extended Hamilton’s principle is used to derive the governing equations of motion and associated boundary conditions. The system of equations is non-dimensionalized. Using Galerkin’s method, a set of Hill’s equations are obtained. The dynamic stability is analyzed using Saito-otomi conditions. The effects of elastic foundation parameter, thermal gradient, shear parameter, taper parameter, core-loss factor and modulus ratios on dynamic stability of the system is studied for pinned–pinned boundary condition. The results are represented graphically using suitable MATLAB program.