Dynamic Modeling for a Thin Plate with Large Deformation

Abstract

In this paper, based on the nonlinear elastic theory, dynamic modeling for a thin plate with large deformation is proposed considering high-order deformation terms using hybrid-coordinate formulation. Through the calculation the potential energy and kinetic energy of the plate, rigid-flexible coupling dynamic equations is established. It is shown that the difference between the deformation results obtained by the present high-order dynamic model and those obtained by one-order approximate dynamic model is not significant in case of large deformation ,both them can calculation large deformation problem. However, the amplitude of vibration obtained by the present high-order dynamicmodel is smaller than that obtained by one-order approximate dynamic model. Furthermore, dynamic stiffening and softening effect of the rigid-flexible coupling system undergoing translational large overall motion is investigated. It is shown that with the reduce of the modulus of elasticity, the influence of the translational acceleration on the vibration frequency of the rigid-flexible coupling system is more significant.