Nonlinear Static Response and Free Vibration of Pressurized Semi-Torus Shell

Abstract

This paper presents the nonlinear static response and free vibration of pressurized semi-torus shell by using differential geometry. Energy functional of pressurized semi-torus shell system can be performed by principle of virtual work. Deformed configuration and natural frequencies of pressurized semi-torus shell can be obtained by finite element method. Numerical results indicate that the deformed configuration has a dis-continuity at the apex point of pressurized semi-torus shell. Moreover, the changes of thickness and cross-sectional radius have a large effect on the deformed configurations and natural frequencies.