Influence of Material and Geometrical Properties on Static and Dynamic Behavior of MR Fluid Sandwich Beam: Finite Element Approach

Abstract

Magnetorheological (MR) fluid can transform its rheological properties when it is exposed to a magnetic field. This nature of the MR fluid provides an additional stiffness and damping for the sandwich beam applications. The Lagrange’s method is used to derive the equations of motion for the current finite element formulation. The influence of an applied magnetic field, thickness ratio and the length parameter on the static deflection, loss factor and natural frequency for different boundary conditions are presented. Further, the study is extended to plot the real and imaginary mode shapes corresponding to the fundamental frequencies. The geometrical and material properties considered in the present study showed a significant influence on static deflection and vibration amplitude of the sandwich beam. There is a maximum of 22.74% decrease in static deflection obtained for the simply supported condition. © 2023, The Author(s), under exclusive licence to Shiraz University.