Nonlinear vibration of Mindlin plate subjected to moving forces including the effect of weight of the plate

The large deflection theory of the Mindlin plate and Galerkin's method are employed to examine the static responses of a plate produced by the weight of the plate, and the dynamic responses of the plate caused by the coupling effect of these static responses with a set of moving forces. Results obta ined by the large deflection theory are compared with those by the small de flection theory. The results indicate that the effect of weight of the plat e increases the modal frequencies of the structure. The deviations of dynam ic transverse deflection and of dynamic bending moment produced by a moving concentrated force between the two theories are significant for a thin pla te with a large area. Both dynamic transverse deflection and dynamic bendin g moment obtained by the Mindlin plate theory are greater than those by the classical plate.