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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2015, Volume 19, Number 4, Pages 750–767
DOI: https://doi.org/10.14498/vsgtu1453
(Mi vsgtu1453)
 

This article is cited in 6 scientific papers (total in 6 papers)

Mechanics of Solids

An aeroelastic stability of the circular cylindrical shells containing a flowing fluid

S. A. Bochkarev, S. V. Lekomtsev

Institute of Continuous Media Mechanics UB RAS, Perm, 614013, Russian Federation
Full-text PDF (978 kB) Citations (6)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: The paper is concerned with the analysis of the panel flutter of circular cylindrical shells containing an ideal compressible liquid and subjected to the external supersonic gas flow. The aerodynamic pressure is calculated based on the quasi-static aerodynamic theory. The behavior of the liquid is described in the framework of the potential theory. Using the Bubnov–Galerkin method, the corresponding wave equation together with the impermeability condition and specified boundary conditions are transformed into the system of equations. The classical shell theory based on the Kirchhoff–Love hypotheses and the principle of virtual displacements are used as the mathematical framework for the elastic structure dynamic problem. A solution to the problem is searched for by a semi-analytical version of the finite element method and involves the calculation of the complex eigenvalues of the coupled system of equations using the Muller-based iterative algorithm. The reliability of the obtained numerical solution of the aeroelastic and hydroelastic stability problem has been estimated by comparing it with the available theoretical data. For shells with different dimensions and variants of boundary conditions the numerical experiments have been performed to estimate the influence of velocity of the internal liquid flow on the value of static pressure in the unperturbed gas flow, which is taken as a variable parameter. It has been found that a growth of liquid velocity causes a change in the flutter type of stability loss. It has been shown that with increase of linear dimensions of the shell the stabilizing effect of the internal liquid flow extending the boundaries of aeroelastic stability changes to the destabilizing effect. Specific values of geometrical dimensions determining the variation in the character of dynamic behavior of the system depend on the prescribed combination of boundary conditions.
Keywords: aeroelasticity, supersonic gas flow, potential compressible fluid, cylindrical shell, finite-element method, stability, flutter.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-05254-а
This work was supported by the Russian Foundation for Basic Research (project no. 15–01–05254-a).
Original article submitted 28/X/2015
revision submitted – 16/XI/2015
Bibliographic databases:
Document Type: Article
UDC: 533.6.013.42
MSC: 74F10
Language: Russian
Citation: S. A. Bochkarev, S. V. Lekomtsev, “An aeroelastic stability of the circular cylindrical shells containing a flowing fluid”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 19:4 (2015), 750–767
Citation in format AMSBIB
\Bibitem{BocLek15}
\by S.~A.~Bochkarev, S.~V.~Lekomtsev
\paper An aeroelastic stability of the circular cylindrical shells containing a flowing fluid
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2015
\vol 19
\issue 4
\pages 750--767
\mathnet{http://mi.mathnet.ru/vsgtu1453}
\crossref{https://doi.org/10.14498/vsgtu1453}
\zmath{https://zbmath.org/?q=an:06969192}
\elib{https://elibrary.ru/item.asp?id=25687501}
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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