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 pla ie have been formulated. The dynamic response of stress and displacement of thick plate subjected to the transversedforced are obtained. It is shown that the vibrational characters of thick plate consist ofthree modes: thickness shear mode, symmetric mode and anti-symmetric mode. Thecharacteristic equations of simply supported thick plate are derived and the comparisonof the free vibration frequencics based on the classic theory, middle thickness platetheory and three dimensional elasticity theory are given.