Influence of boundary conditions on the frequency characteristics of a rotating truncated circular conical shell

Abstract

The influence of boundary conditions on the frequency characteristics of a rotating conical shell is studied using the Galerkin method. The results obtained include the relationships between the frequency parameter and circumferential wavenumber and between the frequency parameter and rotating velocity at various cone angles under different boundary conditions. The variation of the frequency characteristics at various vibrational modes is also shown. In order to validate the present analysis, several comparisons of the numerical results with those published are made. One comparison is for an infinitely long rotating cylindrical shell; other comparisons are for the non-rotating conical shells. As is expected, these comparisons show very good agreement. © 1999 Academic Press.