Analytical model for identification of frequency responseof a centrally clamped disk

The evaluation of the frequency response of a mechanical component is the key to understand its dynamic behaviour. In this work, the component is a centrally clamped spinning disk in a generic machine. The disk has been modeled as a thin plate by using the Kirchhoff's theory, taking into account only the out of plane displacements. Four parameters of the stationary disk have been identified in order to minimize the mean square error between the eigenfrequencies of the disk (computed by the thin plate model) and the corresponding eigenfrequencies computed by a FE model reproducing the actual complex disk shape. The eigenfrequencies of spinning disk are obtained for various nodal diameters and nodal circles and they are compared to the corresponding eigenfrequencies computed by FE model.