Here, the chaotic motion of a thin rectangular plate simply supported with large deflection and four unmovable sides in a coupled environment of mechanical load, magnetic field and temperature field was investigated. Based on the theories of plates, shells and magnetic elasticity and considering the effect of temperature field, the nonlinear magnetic-elastic coupled vibration equations of the rectangular plate in the coupled environment of a transverse steady magnetic field and mechanical load were derived. Using Melnikov function method, the chaotic motion condition of the dynamic system under the meaning of Smale horseshoe transformation was obtained. The numerical simulations were performed with the vibration equations of the system. Through a specific example, the bifurcation diagram, the displacement wave diagram, the phase diagram and Poincare section diagram of this system were shown here. The influences of parameter variations including mechanical load, magnetic field and temperature field on the chaotic motion of this system were discussed. The simulation results shgowed that the vibration characters of this system can be controlled by changing parameters of mechanical load, magnetic field and temperature field.
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