The generalized differential quadrature method for frequency analysis of a rotating conical shell with initial pressure

Abstract

Using the generalized differential quadrature (GDQ) method which is an improved version of the differential quadrature (DQ) method, this paper examines the influence of initial pressure load on the free vibration of a rotating thin truncated circular isotropic conical shell with different boundary conditions. The present governing equations of motion include the influence of initial stress field and the effects of initial hoop tension and also the centrifugal and coriolis accelerations due to rotation. The influence of initial pressure on the frequency characteristics is discussed in detail for various conditions. To validate the present analysis, frequency comparisons are made with those available in published works, and very good agreements are obtained. Copyright © 2000 John Wiley & Sons, Ltd.