On the Elastodynamic Theory of Thick Circular Plates

Considering elastodynamic deformation of circular plates, this paper presents a generalization of the method of initial functions in cylindrical coordinates. The governing equations of the theory are derived from the three dimensional elastodynamic equations. The method is applied to the free vibration of the clamped circular plate. Numerical results are obtained and displayed in figures. They are compared with the foregoing results. Besides, the variations of the characteristic quantities of the plate are given along the plate thickness.