Curvature effects on the eigenproperties of axisymmetric thin shells

A set of linear elastic homogeneous isotropic axisymmetric thin shells of revolution with plane projection of radius R varying with the height c of the pole, to keep constant mass, is introduced. Their curvature and dynamical properties depend on the ratio c/R, and their linear dynamics is investigated by standard modal analysis, adopting a commercial code, and accounting for curvature. Natural frequencies for a given mode are linear with c/R, decrease for membrane modes, and increase for transverse modes. Thus, membrane and transverse modes may shift as curvature grows; graphical and numerical results are reported.