Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 5, Pages 39–44 (Mi vmumm4494)  
Mechanics

Free oscillations of an orthotropic conical shell

S. D. Algazina, I. A. Selivanovb

a Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: Free oscillations of an orthotropic conical shell of finite length are considered. This is a problem of the 80–90 years of the last century. Most problems of deformable solid mechanics are described by elliptic equations that have smooth solutions, and therefore the development of algorithms that take into account this smoothness is relevant. The paper presents a modern algorithm without saturation and considers specific calculations that show its high efficiency.
Key words: conic shell, eigenvalue problem, numerical algorithm without saturation.
Received: 11.03.2022
English version:
Moscow University Mechanics Bulletin, 2022, Volume 77, Issue 5, Pages 136–142
DOI: https://doi.org/10.3103/S0027133022050028
Bibliographic databases:
Document Type: Article
UDC: 534-16
Language: Russian
Citation: S. D. Algazin, I. A. Selivanov, “Free oscillations of an orthotropic conical shell”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 5, 39–44; Moscow University Mechanics Bulletin, 77:5 (2022), 136–142
Citation in format AMSBIB
\Bibitem{AlgSel22}
\by S.~D.~Algazin, I.~A.~Selivanov
\paper Free oscillations of an orthotropic conical shell
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2022
\issue 5
\pages 39--44
\mathnet{http://mi.mathnet.ru/vmumm4494}
\elib{https://elibrary.ru/item.asp?id=49553378}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2022
\vol 77
\issue 5
\pages 136--142
\crossref{https://doi.org/10.3103/S0027133022050028}
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