Three dimensional elasticity solution for vibration problem of thick plate

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