Abstract: Considering the shrouded blades of aeronautic engine and roll's lifting motor tray as combination cantilever plates, three coupled nonlinear differential equations of motion of cantilever plates are derived from the theory of thin elastic plate with the effects of damping and geometric large-amplitude vibration taken into account. Then, the Galerkin method is introduced to obtain nonlinear equations in the generalized coordinates. The nonlinear vibration response of combination cantilever plates is analyzed by the Runge-Kutta numerical method to obtain the frequency-response curves. The results show that the geometrical nonlinear effect on the system makes the nonlinear vibration response less than linear one, and the nonlinear resonant frequency is slightly higher than the nature frequencies of each of the combination cantilever plates. The nonlinear frequency-response curve shows the multi-value and jumping characteristic, and its shape relates to the amplitude of exciting force.