Stability of a toroidal fluid-containing shell

• Published in: The International journal of pressure vessels and piping Vol. 76; no. 9; pp. 575 - 581
• Main Authors: Redekop, D., Xu, B., Zhang, Y.M.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.08.1999; Elsevier
• Subjects: Applied sciences; Buckling; Buildings. Public works; Differential quadrature method; Exact sciences and technology; Finite element method; Fluid loading; Fluids; Fundamental areas of phenomenology (including applications); Hydrostatic pressure; Mechanical engineering. Machine design; Numerical methods; Physics; Pipings, valves, fittings; Solid mechanics; Stability; Static buckling and instability; Steel design; Strength of materials (elasticity, plasticity, buckling, etc.); Structural analysis. Stresses; Structural and continuum mechanics; Toroidal shell; Fluid loading; Stability; Toroidal shell; Differential quadrature method; Quadrature; Piping; Tubular construction; Curved pipe; Internal fluid; Numerical method; Fluid structure interaction; Differential method; Buckling
• ISSN: 0308-0161; 1879-3541
• DOI: 10.1016/S0308-0161(99)00040-X

This paper presents a solution to the stability problem of a sectorial toroidal shell subject to fluid loading. The solution is based on the Budiansky shell stability theory specialized for toroidal coordinates, and is developed using the two-dimensional differential quadrature method. Numerical results are presented and these results are compared with results from the Donnell shell theory, and with ones from a finite element method solution. The study establishes the suitability of the differential quadrature method for problems of shell stability.