Vibration analysis of a rotating truncated circular conical shell

Abstract

In this paper, a method is presented to study the free vibrations of a rotating truncated circular conical shell with simply-supported boundary conditions. The method is based on the use of Love's first approximation theory and it includes the effects of initial hoop tension and the centrifugal and cortolis accelerations. Results are obtained for the frequency characteristics at different modes and various geometric properties, the effects of cone angle on the frequency characteristics are also discussed. To validate the present analysis, comparisons are made with a very long rotating cylindrical shell and a non-rotating truncated circular conical shell and very good agreement is obtained. © 1997 Elsevier Science Ltd.