Stability Study of a Sandwich Beam with Asymmetric and Non-uniform Configuration Supported Viscoelastically Under Variable Temperature Grade

Abstract

BackgroundThe end conditions, temperature gradient and geometric parameters affect the system stability.PurposeThis research work concerns with the parametric instability study of a non-uniform asymmetric sandwich beam supported viscoelastically at the ends acted upon by a harmonic axial load and a variable temperature grade which is more appropriate along with a constant temperature grade.MethodsHamilton’s energy principle is used to develop the equations of motion and associated end conditions. Then the non-dimensional form of the equation of motion is obtained. Galerkin’s process is used to find a set of Hill’s equations. The parametric instability regions are acquired by means of Saito-Otomi conditions.ResultsThe consequences of taper parameter, uniform as well as variable temperature grade, shear parameter, spring parameters and spring loss factors on the instability regions are examined and represented by a number of plots.ConclusionThe results reveal that rise in the values of thermal gradient for bottom layer and shear parameter, make the beam more stable against harmonic load. Increase in the values of taper parameters and thermal gradient for top layer reduce the flexural rigidity of the system, hence worsen the system stability. The dynamic instability of the system reduces with increase in the values of spring loss factors and spring parameters.