Parametric Instability of an Asymmetric Sandwich Beam with Thermal Gradient under Various Boundary Conditions by Computational Method

Abstract

Dynamic stability of a three-layered asymmetric sandwich beam with viscoelastic core subjected to a periodic axial load and a steady, one-dimensional thermal gradient is considered under five different boundary conditions. Equations of motion are derived by using Hamilton's principle. A generalized Galerkin's method is used to reduce the non-dimensional equations of motion to a set of coupled Hill's equations with complex coefficients. The zones of parametric instability are obtained using Saito-Otomi conditions. The effects of shear parameter, core loss factor, core thickness parameter, thermal gradient on the regions of parametric instability are studied.