Frequency analysis of annular plates with elastic concentric supports by Greenʹs function method

The paper concerns the free axisymmetric vibration of an annular plate with concentric circular elastic supports. The formulation of the problem concerns plates with free outer and inner edges and with an arbitrary number of circular supports. The exact solution is obtained by applying the Greenʹs function method. The Greenʹs function corresponding to the free annular plate is determined in an analytical form. Numerical examples are presented.