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Mechanics of Composite Materials
Published in: Mechanics of Composite Materials 6/2018

12-01-2018

Aeroelastic Stability of a Cylindrical Composite Shell at a Bilateral Flow

Authors: V. N. Bakulin, M. A. Bokov, A. Ya. Nedbai

Published in: Mechanics of Composite Materials | Issue 6/2018

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Abstract

The aeroelastic stability (panel flutter) of an orthotropic composite shell in supersonic and subsonic flows of a gas over its outer and inner surfaces, respectively, is investigated. The internal two-phase flow is comprised of an air portion and a portion of mixture of air and gas. The structural damping is taken into account according to the Voigt hypothesis. The solution of corresponding equations is sought in the form of trigonometric series in the longitudinal coordinate. By the Bubnov–Galerkin method, the problem is reduced to a system of algebraic equations. The characteristic equation, obtained in an explicit form by using the Lagrange polynomial, is analyzed employing the Routh–Hurwitz criterion. Relations for the critical flow speed as functions of parameters of the internal flow are constructed.
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Literature
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S. D. Algazin and I. A. Kiiko, Flatter of Plates and Shells [in Russian], Nauka, Moscow, 2006.
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7.
V. N. Bakulin, E. N. Volkov, and A. Ya. Nedbai, “Flutter of a layered cylindrical shell supported by ring stiffeners and loaded with axial forces,” Dokl. AN, 463, No. 4, 414-417 (2015).
8.
V. N. Bakulin, E. N. Volkov, and A. Ya. Nedbai, “Dynamic stability of a cylindrical shell supported by longitudinal stiffeners and a hollow cylinder under the action of axial forces,” Inzh.-Fiz. Zhurn., 89, No. 3, 742-747 (2016).
9.
V. N. Bakulin, E. N. Volkov, E. V. Danilkin, and A. Ya. Nedbai, “On the stability of a cylindrical shell with a piecewisecontinuous filler in a supersonic gas flow,” Mater. XIX Mezhd. Konf. Vichisl. Mekh. i Sovr. Prikl. Program. Sist., 22-31 May, 680-682, 2015, Alushta, Izd. MAI, Moscow (2015).
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V. N. Bakulin, M. A. Bokov, and A. Ya. Nedbaj, “Aeroelastic stability of a cylindrical shell of a composite material under a bilaterial flow,” Mater. XX Mezhd. Konf. Vichisl. Mekh. i Sovr. Prikl. Sist., 23-31 May, Alushta, 723−726, 2017, Izd. MAI, Moscow (2017).
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V. N. Bakulin, E. V. Danilkin, and A. Ya. Nedbai, “Dynamic stability of a cylindrical shell supported by a cylinder and longitudinal stiffeners under external pressure,” Inzh.-Fiz. Zhurn., 91, No. 2 (2018).
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V. N. Bakulin, E. N. Volkov, and A. I. Simonov, “Dynamic stability of a cylindrical shell under the action of external pressure varying along its axis,” Izv. Vuz., Aviats. Tekhn., No. 4 (2017).
13.
E. V. Danilkin, E. N. Volkov, V. I. Petrusev, Yu. V. Apakidze, and A. Ya. Nedbai, “Stability of the afterburner chamber in a two-component gas flow,” Vopr. Obor. Tekhn., 15, No. 3, 3-8 (2015).
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V. G. Moskvin, “Stability of a circular cylindrical shell made of a linear viscoelastic material in a supersonic gas flow,” Tr. VIII Vsesoyuz. Konf. Teorii Obol. Plastin, 527-531, Nauka, Moscow (1973).
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Metadata
Title
Aeroelastic Stability of a Cylindrical Composite Shell at a Bilateral Flow
Authors
V. N. Bakulin
M. A. Bokov
A. Ya. Nedbai
Publication date
12-01-2018
Publisher
Springer US
Published in
Mechanics of Composite Materials / Issue 6/2018
Print ISSN: 0191-5665
Electronic ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-018-9705-0

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