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

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 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

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.

UDC: 534-16

Received: 11.03.2022


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2022, 77:5, 136–142

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© Steklov Math. Inst. of RAS, 2026