Nonsymmetric Deformation of Dome-Shaped Shells of Revolution
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Bending solutions that are uniformly valid in both shallow and nonshallow regions of a dome with arbitrary meridian are determined for edge loads that vary sinusoidally in the circumferential direction. The membrane and inextensional deformation solutions are obtained in terms of a function which satisfies a simple integral equation which eliminates the usual trial-and-error method of isolating the solutions that are regular at the apex. For a specific application, curves and formulas are obtained for the stresses and deformations of a dome with rigid rings clamped to the edges under the action of axial force, side force, and tilting moment.
2020 ◽
Vol 2020
(30)
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pp. 75-87
1960 ◽
Vol 56
(4)
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pp. 318-321
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2016 ◽
Vol 4
(29)
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pp. 11446-11452
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2009 ◽
Vol 424
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pp. 197-204
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2021 ◽
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