Dynamic Response of Complete Torospherical Shells under Internal Periodic Pressure

Abstract

The study reported here is concerned with the response of complete Torospherical shells under internal dynamic pressure. The Torospherical shell modelled from an Ellipsoidal shell consists of a combination of spherical segments joined with toroidal segments of circular cross-section. The nonlinear systems of dynamic equations formulated were solved using trigonometric projection procedures and Newton's iterative processes. Two types of torospherical shells were analysed and compared. Results show that the dynamic response of the Torospherical shells subjected to internal dynamic pressure depends not only on the frequency of dynamic pressure but specifically on the ratio of the radii of the toroidal segments to that of the spherical segments. We also discovered that if loss of dynamic stability of ellipsoidal shells is largely axisymmetrical, loss of dynamic stability of Torospherical shells is asymmetrical with formation of circular waves in the circumferential direction. The modes of vibration of the Torospherical shells are also presented.