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Nonlinear static analysis of an underwater elastic semi-toroidal shell
AbstractThis paper addresses the nonlinear static behavior of an elastic semi-toroidal shell of circular cross section subjected to external hydrostatic loading by using membrane theory. In this study, semi-toroidal shell geometry can be computed by differential geometry. Energy functional of the semi-toroidal shell can be obtained by principle of virtual work, and written in the appropriate form. The static response of the semi-toroidal shell can be computed by nonlinear finite element method. The nonlinear numerical solutions can be obtained by the iterative method. The effects of sea water depth, cross-sectional radius to thickness, and cross-sectional to bend radii ratios on the displacement responses of the semi-toroidal shell are investigated in this paper. Interestingly, it is found that the maximum value of the displacement responses on the semi-toroidal shell under hydrostatic loading occurred to the toroid internal crest.
HighlightsDevelopment of semi-toroidal shell based on the nonlinear membrane theory.The semi-toroidal shell geometry can be computed by differential geometry.Energy functional of semi-toroidal shell can be written in the appropriate form.The static response of the semi-toroidal shell can be computed by nonlinear FEM.The maximum displacement on the semi-toroidal shell occurred to the toroid crest.
Nonlinear static analysis of an underwater elastic semi-toroidal shell
AbstractThis paper addresses the nonlinear static behavior of an elastic semi-toroidal shell of circular cross section subjected to external hydrostatic loading by using membrane theory. In this study, semi-toroidal shell geometry can be computed by differential geometry. Energy functional of the semi-toroidal shell can be obtained by principle of virtual work, and written in the appropriate form. The static response of the semi-toroidal shell can be computed by nonlinear finite element method. The nonlinear numerical solutions can be obtained by the iterative method. The effects of sea water depth, cross-sectional radius to thickness, and cross-sectional to bend radii ratios on the displacement responses of the semi-toroidal shell are investigated in this paper. Interestingly, it is found that the maximum value of the displacement responses on the semi-toroidal shell under hydrostatic loading occurred to the toroid internal crest.
HighlightsDevelopment of semi-toroidal shell based on the nonlinear membrane theory.The semi-toroidal shell geometry can be computed by differential geometry.Energy functional of semi-toroidal shell can be written in the appropriate form.The static response of the semi-toroidal shell can be computed by nonlinear FEM.The maximum displacement on the semi-toroidal shell occurred to the toroid crest.
Nonlinear static analysis of an underwater elastic semi-toroidal shell
Jiammeepreecha, Weeraphan (author) / Chucheepsakul, Somchai (author)
Thin-Walled Structures ; 116 ; 12-18
2017-03-03
7 pages
Article (Journal)
Electronic Resource
English