Buckling and Free Vibration Analysis of Sandwich Beam With MR Core

Abstract

The present study deals with the buckling and free vibration analysis of sandwich beam with Magneto rheological fluid as a core material. Beam with different boundary conditions such as Fixed-fixed, fixed-pinned, fixed-free and pinned-pinned has been investigated. The beam is modelled with the help of finite element method where each node of sandwich beam contain six degree of freedom. By using Hamilton principle governing equation of motion is derived with a help of FEM. A ten element discretization satisfy the convergence requirement and validation of formulation is done by comparing first three natural frequency with those available in literature. The effect of core thickness parameter, magnetic field strength and shear parameter on buckling load parameter, natural frequency parameter and modal loss factor have been studied.