In this paper,the dynamic response of the rectangular thin plate with one side fixed and three sides simply supported in a transverse constant magnetic field is studied at its superharmonic resonance under 1∶3 internal resonance.The two degrees of freedom nonlin-ear vibration differential equations are derived by the Galerkin method.Through numerical calculation,the response diagrams of the first two modes of the system are obtained under superharmonic internal resonance.The results show that the high-order modes are indirectly excited by internal resonance.Under different parameters,the system presents complex dy-namic responses such as chaos and quasi-periodic motion,and the vibration of the system can be controlled by adjusting the magnetic field intensity.
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