Three dimensional elasticity solution for vibration problem of thick plate

In this paper, based upon the basic equations of three dimensional theory of elastodynamics, the governing differential equations of thick plate have been formulated The dynamic response of stress and displacement of thick plate subjected to the transversed forced are obtained. It is shown that the vibrational characters of thick plate consist of three modes: thickness shear mode, symmetric mode and anti-symmetric mode. The characteristic equations;of simply supported thick plate are derived and rile comparison of the free vibration frequencies based on the classic. theory, middle thickness plate theory and three dimensional elasticity theory are given.