Inextensional Vibrations of a Sphere-Cone Shell Combination

Abstract

The Rayleigh inextensional theory for thin shells is employed to predict the natural frequencies of a sphere-cone combination. For a particular case, the calculated and measured natural frequencies of shells of nonuniform thickness are determined. In comparing the experimental values of the lowest five “bell” frequencies with the predicted theoretical inextensional theory, there is very good agreement. This indicates that the method may be used for many missile configuration and jet engine applications.