Abstract：In this paper, a ceramic/metal functionally graded rectangular plate was considered. Based on the Stress-strain relationship and nonlinear geometric equations of inhomogeneous materials, the nonlinear partial differential equations of functionally graded plate subjected to transverse harmonic excitation force were derived by using principle of virtual work. For the clamped rectangular plate, by assuming the displacement functions，the Duffing nonlinear vibration equation was obtained by using Galerkin method. Using the modified multiscale method, the amplitude-frequency response equation of the Steady-state movement was obtained. Based on Lyapunov stable theory, the stability analysis of the resonance solution was obtained. By some examples, the amplitude-detuning parameter curves and phase trajectories in moving phase plane were plotted under different situations. The effects of different parameters were discussed
2011, Vol. 30 
