Numerical and analytical methods for in-plane dynamic response of annular disk

A new method called the moving element method is formulated to solve two problems in a unified framework: (a) rotating disk subjected to stationary load and (b) stationary disk subjected to rotating load. The method involves discretization of the disk into “moving elements”. But unlike in the conventional finite element method, these elements rotate relative to the disk and are not attached to material points. Analytical solutions in terms of complex Fourier–Hankel series are also presented. Numerical examples show good agreement between the proposed numerical method and the analytical method. The advantages of the proposed method over the analytical method and the finite element method are illustrated.