Generalized differential quadrature for frequency of rotating multilayered conical shell

Abstract

This paper uses the generalized differential quadrature (GDQ) method to study the influence of boundary conditions on the natural frequency of a rotating thin truncated circular multilayered conical shell. The governing equations of motion include the effects of initial hoop tension and centrifugal and Coriolis accelerations due to rotation. The GDQ method is applied to the discrete grid points in the meridional direction. Results are obtained to study the influence of boundary conditions on the frequency at different circumferential wave numbers, rotating speeds, and geometric properties. The influences of the cone angle and layered configuration on the variation of frequency with rotating speed also are presented. To validate the accuracy and efficiency of the GDQ method, comparisons are made with those available in the open literature and very good agreements are achieved.