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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2022, Volume 63, Issue 5, Pages 160–167
DOI: https://doi.org/10.15372/PMTF20220516 (Mi pmtf159) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Plate flutter problem with mixed boundary conditions

S. D. Algazina, I. A. Selivanovb

a Institute for Problems in Mechanics, Russian Academy of Sciences, 119526, Moscow, Russia
b Lomonosov Moscow State University Moscow, 119991, Moscow, Russia
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DOI: https://doi.org/10.15372/PMTF20220516
Abstract: The paper considers the solution of the plate flutter problem with mixed boundary conditions. The mathematical formulation of the problem allows taking into account arbitrary directions of the incoming flow vector. For the numerical solution of the problem, a modern numerical algorithm without saturation is proposed, which allows obtaining the critical flutter speed with sufficient accuracy on a sparse grid. The results of calculations for four materials are presented: titanium, steel, aluminum, duralumin. Based on the calculation results, two analytical dependences for the critical flutter speed are obtained: from the direction of the incoming flow vector, as well as from the dimensionless speed of sound in the plate and the thickness of the plate. The eigenforms $\mathrm{Re}(\varphi)$ corresponding to the critical flutter speed are given.
Keywords: numerical methods without saturation, plate flutter, flutter critical velocity, analytical dependence.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation АААА-А20-120011690132-4
Received: 11.10.2021
Revised: 22.11.2021
Accepted: 27.12.2021
English version:
Journal of Applied Mechanics and Technical Physics, 2022, Volume 63, Issue 5, Pages 869–875
DOI: https://doi.org/10.1134/S0021894422050169
Bibliographic databases:
Document Type: Article
UDC: 539.3:534.1
Language: Russian
Citation: S. D. Algazin, I. A. Selivanov, “Plate flutter problem with mixed boundary conditions”, Prikl. Mekh. Tekh. Fiz., 63:5 (2022), 160–167; J. Appl. Mech. Tech. Phys., 63:5 (2022), 869–875
Citation in format AMSBIB
\Bibitem{AlgSel22}
\by S.~D.~Algazin, I.~A.~Selivanov
\paper Plate flutter problem with mixed boundary conditions
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2022
\vol 63
\issue 5
\pages 160--167
\mathnet{http://mi.mathnet.ru/pmtf159}
\crossref{https://doi.org/10.15372/PMTF20220516}
\elib{https://elibrary.ru/item.asp?id=49537728}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2022
\vol 63
\issue 5
\pages 869--875
\crossref{https://doi.org/10.1134/S0021894422050169}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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    References:11
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