Nonlinear dynamics of Magnetorheological elastomer sandwich plate under stochastic excitation

Abstract

In this paper, a kind of magnetorheological elastomer sandwich plate is proposed. The novel nonlinear differential term is applied to describe the force-displacement curve of the magnetorheological elastomer. The constitutive model of the system is established using the Hamilton Modeling Principle. By Galerkin dispersion, the response equation of the system is obtained, and its stochastic dynamic behavior is discussed. The numerical results are simulated by MATLAB mathematics software and show that the magnetorheological elastomer sandwich plate has rich dynamic characteristics, including stochastic Hopf bifurcation, which can be avoided if the parameters vary and only small amplitude vibrations appear.