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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 1, Pages 38–47
(Mi vmumm4448)
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This article is cited in 3 scientific papers (total in 3 papers)
Mechanics
Variation principles of moment-membrane theory of shells
C. H. Sarkysyan Shirak State University
Abstract:
In the present paper assumptions are formulated and on the basis of the moment theory of elasticity with independent fields of displacements and rotations general variation principle of Hu–Washizu type is established and basic equations with boundary conditions of the moment-membrane theory of shells are set out. For the moment-membrane theory of shells particular variation principles of Lagrange and Castigliano type are proved, equations of continuity of deformations of the middle surface of the shell are derived.
Key words:
moment-membrane theory, shell, variation principles of Hu–Washizu, Lagrange, Castigliano, continuity equations.
Received: 16.02.2021
Citation:
C. H. Sarkysyan, “Variation principles of moment-membrane theory of shells”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 1, 38–47; Moscow University Mechanics Bulletin, 77:1 (2022), 1–11
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https://www.mathnet.ru/eng/vmumm4448 https://www.mathnet.ru/eng/vmumm/y2022/i1/p38
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Abstract page: | 97 | Full-text PDF : | 30 | References: | 25 | First page: | 6 |
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