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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024 Number 3, Pages 64–70 (Mi vmumm4611)

Mechanics

Efficient three-dimensional shell model for fiber study of stress-strain state of irregular cylindrical shells

V. N. Bakulin

Institute of Applied Mechanics of Russian Academy of Sciences, Moscow

Abstract: An approach to obtaining approximations and constructing a three-dimensional shell model of a filler layer based on the use of effective approximating functions used in two-dimensional models of bearing layers in the general case of irregular three-layer cylindrical shells, including those weakened by rectangular cutouts, is presented. The effective approximating functions of the displacements of the bearing layers are based on the initial approximation of deformations. As an example, studies of the influence of the angular dimension of rectangular cutouts on the stress and strain state of sandwich cylindrical shells are carried out for the first time.

Key words: three-layer cylindrical irregular shells, three-dimensional shell models, layer-by-layer analysis, stress-strain state, rectangular cutouts.

UDC: 539.3

Received: 12.02.2024

DOI: 10.55959/MSU0579-9368-1-65-3-10


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2024, 79:3, 102–109

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© Steklov Math. Inst. of RAS, 2024