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

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025 Number 4, Pages 36–43 (Mi vmumm4701)

Mechanics

Initial boundary value problems for torque elastic circular cylindrical shells

D. V. Tarlakovskii, A. Zh. Farmanyan

Lomonosov Moscow State University, Institute of Mechanics

Abstract: Using the previously obtained equations of motion of thin momentary elastic shells of constant thickness with an arbitrary smooth median surface, the corresponding equations for an isotropic momentary circular cylindrical shell in forces and “displacements” (kinematic parameters) are constructed, while natural kinematic and static boundary conditions are given at the end sections. As a result, twelve equations of motion and corresponding physical relations are obtained.

Key words: circular cylindrical isotropic moment elastic shell, equations of motion in forces and kinematic parameters.

UDC: 539.3

Received: 09.10.2024

DOI: 10.55959/MSU0579-9368-1-66-4-5


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2025, 80:4, 143–151


© Steklov Math. Inst. of RAS, 2026