Nonlinear Static Analysis of Liquid-Containment Toroidal Shell under Hydrostatic Pressure

Abstract

This paper presents a nonlinear static analysis of a liquid-containment toroidal shell subjected to linearly hydrostatic pressure, including the effect of constraint volume for the toroidal shell and internal compressible liquid. The geometry of the liquid-containment toroidal shell is defined as a circular cross section. The principle of virtual work was used to formulate the nonlinear finite-element model, including the fluid-structure interaction effect for the liquid-containment toroidal shell system. The formulation was written in an appropriate form in order to reduce the computation time. An iterative procedure was used to solve the nonlinear numerical solutions for the statically deformed configuration of the shell and changes in internal pressure. The numerical result from a commercial program was used to verify the proposed nonlinear finite element method. The effects of bulk modulus of internal liquid, initial internal pressure, sea water depth, thickness, and cross-sectional radius of the liquid-containment toroidal shell on the static displacement and internal pressure responses of the liquid-containment toroidal shell are investigated and discussed in this paper.