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A Journal of Russian Academy of Sciences
 Founded
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Issued 6 times a year
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IssuesArchive of Issues2022-6pp.1396-1402

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N.V. Banichuk, "Some Spectral Problems for Cyclic Mechanical Systems," Mech. Solids. 57 (6), 1396-1402 (2022)
Year 2022 Volume 57 Number 6 Pages 1396-1402
DOI 10.3103/S0025654422060176
Title Some Spectral Problems for Cyclic Mechanical Systems
Author(s) N.V. Banichuk (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, banichuk@ipmnet.ru)
Abstract Problems and methods of spectral analysis of elastic systems are considered. Attention is focused on cyclic spectral formulations. Some general representations of cyclic solutions of the considered problems are derived and a decomposition method is presented. In the context of the analysis of cyclic systems, as an example, the spectral problem of the stability of a compressible continuous elastic ring is considered, the solution of which is given in analytical form.
Keywords mathematical modeling, spectral analysis, cyclic systems, elastic stability
Received 30 March 2022Revised 03 April 2022Accepted 04 April 2022
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