Nonlinear static analysis of an underwater elastic semi-toroidal shell
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Publication Details
Author list: Jiammeepreecha W., Chucheepsakul S.
Publisher: Elsevier
Publication year: 2017
Journal: Thin-Walled Structures (0263-8231)
Volume number: 116
Start page: 12
End page: 18
Number of pages: 7
ISSN: 0263-8231
eISSN: 1879-3223
Languages: English-Great Britain (EN-GB)
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Abstract
This 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. ฉ 2017 Elsevier Ltd
Keywords
Energy functional, Hydrostatic loading, Principle of virtual work, Semi-toroidal shell
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