RUS  ENG
Full version
JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022 Number 1, Pages 38–47 (Mi vmumm4448)

This article is cited in 5 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.

UDC: 539.3

Received: 16.02.2021


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2022, 77:1, 1–11

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026