Abstract:In this paper,the nonlinear dynamic characteristics of simple supported plate structures of 13 type piezoelectric fiber composites (MFCGP) coated with graphene were studied. First,the nonlinear partial differential equation of the MFCGP composite material plate was deduced based on the Reddy firstorder shear deformation theory,Von Kármán displacement strain relation and Hamilton principle. Then,it was discretized into twodegreeoffreedom ordinary differential equation by the Galerkin method. Furthermore,the frequencyresponse equation with internal resonance 1:1 was obtained by the multiscale method,and the effects of volume fraction of graphene,voltage,temperature and initial phase on the frequency response curve were analyzed. Finally,the vibration response of MFCGP composite plate was investigated by using bifurcation diagram,phase diagram and waveform through numerical simulations. The results were shown complex nonlinear vibrations of the plate with different parameters and external excitations,which would have certain guiding significance for future engineering application.