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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2012 Issue 3(28), Pages 88–101 (Mi vsgtu1051)

This article is cited in 3 papers

Mathematical Modeling

Investigation of boundary conditions influence on stability of coaxial cylindrical shells interacting with flowing fluid

S. A. Bochkarev, S. V. Lekomtsev

Institute of Continuous Media Mechanics, Ural Branch of RAS, Perm, Russia

Abstract: The work is devoted to investigation of the dynamic behavior of elastic coaxial cylindrical shells interacting with an ideal compressible fluid. The shell behavior is examined in the framework of the classical shell theory, using the variational principle of virtual displacements as a mathematical formulation. The fluid is described in terms of potential theory. With this approach, the stated problem reduces to simultaneous solving of four sets of equations using the finite element method. For shells with different boundary conditions the numerical investigations have been carried out to explore the effects of the annular gap on the boundary of hydroelastic stability.

Keywords: coaxial shells, potential fluid, finite element method, stability, divergence, flutter.

UDC: 533.6.013.42

MSC: 74F10

Original article submitted 26/III/2012
revision submitted – 13/VI/2012

DOI: 10.14498/vsgtu1051



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