Parametric Instability Regions of a MRE Cored Sandwich Beam Subjected to Periodic Axial LoadDownload PDF
In this work the dynamic stability of a magnetorheological elastomer (MRE) embedded viscoelastic cored sandwich beam to time varying axial load has been studied. The finite element method (FEM) is used to derive the governing equation of motion which is similar to that of Mathieu’s equation. The instability regions of the sandwich beam for the principal parametric resonance case are investigated by using the harmonic balance method. The modal frequencies obtained from the analytical model have been compared with the previously published results. Effects of various parameters such as applied magnetic field, static load and the location of the MRE patch on the stability of the sandwich beam are investigated. The results suggest that the stability of the MRE embedded sandwich beams are influenced by the various system parameters.
Keywords: Sandwich beam, Magnetorheological elastomer, conductive skin, dynamic instability, harmonic balance method.