On the axially symmetric vibration of thick circular plates

Abstract

The method of initial functions is developed in cylindrical coordinates for axially symmetric elastodynamic deformation of the circular plate. The governing equations are derived from the three dimensional elastodynamic equations. Using a suitable transformation the difficulty in the application of the method of initial functions is removed. The method is used to obtain the free vibration frequencies of thick circular plates. Numerical results are given for the circular plate with clamped edges and compared with those of the known solutions.