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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 2(31), Pages 120–126
DOI: https://doi.org/10.14498/vsgtu1180 (Mi vsgtu1180) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Mechanics and Classical Field Theory

Stability of solution of one nonlinear initial-boundary problem of aeroelasticity

A. V. Ankilova, P. A. Vel'misova, Yu. A. Kazakovab

a Ulyanovsk State Technical University, Ulyanovsk, 432027, Russia
b Ulyanovsk Instrument Manufacturing Design Bureau, Ulyanovsk, 432071, Russia
Full-text PDF (205 kB) Citations (17)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1180
Abstract: The dynamic stability of an elastic element of the channel wall under the subsonic stream of an ideal compressible fluid (gas) is studied. Determination of the stability of an elastic body corresponds to the concept of stability of dynamical systems by Lyapunov. The sufficient conditions for stability are obtained. Conditions impose limitations on the speed of the uniform stream of gas, compressed (tensile) element of efforts, the elastic element stiffness and other parameters of the mechanical system.
Keywords: aerohydroelasticity, stability, elastic plate, deformation, subsonic flow, compressed liquid (gas).
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.632.2011
Original article submitted 16/XI/2012
revision submitted – 27/III/2013
Bibliographic databases:
Document Type: Proceedings
UDC: 517.958:531.332
MSC: Primary 74F10; Secondary 35Q35, 35Q74
Language: Russian
Citation: A. V. Ankilov, P. A. Vel'misov, Yu. A. Kazakova, “Stability of solution of one nonlinear initial-boundary problem of aeroelasticity”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(31) (2013), 120–126
Citation in format AMSBIB
\Bibitem{AnkVelKaz13}
\by A.~V.~Ankilov, P.~A.~Vel'misov, Yu.~A.~Kazakova
\paper Stability of solution of one nonlinear initial-boundary problem of aeroelasticity
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 2(31)
\pages 120--126
\mathnet{http://mi.mathnet.ru/vsgtu1180}
\crossref{https://doi.org/10.14498/vsgtu1180}
\elib{https://elibrary.ru/item.asp?id=20236348}
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    References:54
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