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 applied to describe the force-displacement curve elastomer. constitutive model system established using Hamilton Modeling Principle. By Galerkin dispersion, response equation obtained, and its stochastic dynamic behavior discussed. numerical results are simulated by MATLAB mathematics software show that has rich characteristics, including Hopf bifurcation, which can be avoided if parameters vary only small amplitude vibrations appear.