Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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S.A. Bochkarev, S.V. Lekomtsev, and V.P. Matveenko, "Aeroelastic Stability of Cylindrical Shells with Elliptical Cross-Section," Mech. Solids. 55 (5), 728-736 (2020)
Year 2020 Volume 55 Number 5 Pages 728-736
DOI 10.3103/S0025654420050040
Title Aeroelastic Stability of Cylindrical Shells with Elliptical Cross-Section
Author(s) S.A. Bochkarev (Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of Science, Perm, 614013 Russia, bochkarev@icmm.ru)
S.V. Lekomtsev (Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of Science, Perm, 614013 Russia)
V.P. Matveenko (Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of Science, Perm, 614013 Russia)
Abstract A mathematical formulation and an algorithm for its numerical implementation are presented, intended to study the aeroelastic stability of cylindrical shells of arbitrary cross-section. The problem is solved in a three-dimensional formulation using the finite element method. The reliability of the results obtained is confirmed by comparison with the known solutions for circular shells. The dependences of the static pressure in an undisturbed gas flow, at which the loss of stability occurs, obtained for different ratios of the ellipse semiaxes and variants of the kinematic boundary conditions are analyzed. The possibility of increasing the boundaries of the aeroelastic stability of a cylindrical shell with an elliptical cross-section in comparison with a circular configuration in the case of cantilever fastening is demonstrated.
Keywords elliptical cylindrical shell, classical theory of plates, finite element method, aeroelastic stability, flutter
Received 14 April 2020Revised 25 May 2020Accepted 23 June 2020
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