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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, Volume 8, Issue 2, Pages 247–254
DOI: https://doi.org/10.21638/spbu01.2021.205 (Mi vspua112) 		 
IN MEMORIAM OF P. E. TOVSTIK

Buckling of a clamped supported cylindrical shell

G. A. Nesterchuk

St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
Full-text PDF (337 kB)
DOI: https://doi.org/10.21638/spbu01.2021.205
Abstract: The paper considers problem of buckling of a thin elastic cylindrical shell, supported by rings of various stiffness. The approximate solution for clamping edge was obtained with analytical Rayleigh-Ritz method. The parameters of the optimal distribution of the mass of the structure between the shell and the stiffeners are found in order to maximize the critical pressure. Frames with zero eccentricity are considered. The obtained analytical solutions are compared with the solution by the finite element method.
Keywords: stiffened cylindrical shell, asymptotic methods, buckling.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00208
This work is supported by Russian Foundation for Basic Research (grant no. 19-01-00208).
Received: 21.11.2020
Revised: 16.12.2020
Accepted: 17.12.2020
English version:
Vestnik St. Petersburg University, Mathematics, 2021, Volume 8, Issue 3, Pages 145–150
DOI: https://doi.org/10.1134/S1063454121020084
Document Type: Article
UDC: 539.3:517.927.25
MSC: 74G10
Language: Russian
Citation: G. A. Nesterchuk, “Buckling of a clamped supported cylindrical shell”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 8:2 (2021), 247–254; Vestn. St. Petersbg. Univ., Math., 8:3 (2021), 145–150
Citation in format AMSBIB
\Bibitem{Nes21}
\by G.~A.~Nesterchuk
\paper Buckling of a clamped supported cylindrical shell
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2021
\vol 8
\issue 2
\pages 247--254
\mathnet{http://mi.mathnet.ru/vspua112}
\crossref{https://doi.org/10.21638/spbu01.2021.205}
\transl
\jour Vestn. St. Petersbg. Univ., Math.
\yr 2021
\vol 8
\issue 3
\pages 145--150
\crossref{https://doi.org/10.1134/S1063454121020084}
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