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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010 Issue 6(80), Pages 106–115 (Mi vsgu199)

Mechanics

Stability of cylindrical shell containing rotating liquid

S. A. Bochkarev

Institute of Continuous Media Mechanics, Russian Academy of Sciences, Ural Branch, Perm, 614013, Russian Federation

Abstract: The stability of the cylindrical shells, which interact with the liquid, rotating inside them, is analyzed using the finite element method. The results of numerical experiments performed for shells with different boundary conditions and geometric dimensions are presented. It has been found that regardless of the version of boundary conditions used for shells the loss of stability is realized in the form of a flutter, which occurs as coalescence of waves, propagating in the direct and opposite direction.

Keywords: classical theory of shells, rotating potential liquid, finite element method, stability, flutter.

UDC: 539.3

Received: 26.03.2010
Revised: 26.03.2010



© Steklov Math. Inst. of RAS, 2026