Abstract
By clarifying the free vibration and transient response of the flat plate in contact with the fluid, it is useful for the design of systems such as piping and plants and the development of innovative equipment. We have been studying free vibration and transient response of thin and thick plates and shells.
In this paper, transient responses of plates under a point impact load are studied. The first-order plate theory is used to derive the equations of motion by Hamilton’s principle. The out of plane dominated vibration and in-plane dominated vibration can be decoupled. The transient displacement and strain histories are obtained using the method of mode superposition. The low density and high compliance of Polyvinylidene Fluoride (PVDF) films make them a suitable method to measure the external dynamic force history. The force history is applied to conduct the theoretical analysis. The strain histories obtained from the theoretical analysis are compared with those obtained from experiments. Moreover, the effect of the thickness on the displacement and strain histories is studied.
In addition, the inverse problems of identifying the impact force history are investigated. The transfer function between the impact force and measured responses: displacement and strain histories, are obtained from the theoretical analysis. A deconvolution technique using wavelet approach for reconstructing impact force is used. The reconstructed impact force is in good agreement in with the measured force using PVDF films.
