Geodesic
Stability of solution of one nonlinear initial-boundary problem of aeroelasticity
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2013), pp. 120-126.

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The dynamic stability of an elastic element of the channel wall under the subsonic stream of an ideal compressible fluid (gas) is studied. Determination of the stability of an elastic body corresponds to the concept of stability of dynamical systems by Lyapunov. The sufficient conditions for stability are obtained. Conditions impose limitations on the speed of the uniform stream of gas, compressed (tensile) element of efforts, the elastic element stiffness and other parameters of the mechanical system.
Keywords: aerohydroelasticity, stability, elastic plate, deformation, subsonic flow, compressed liquid (gas). 
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A. V. Ankilov; P. A. Vel'misov; Yu. A. Kazakova. Stability of solution of one nonlinear initial-boundary problem of aeroelasticity. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2013), pp. 120-126. http://geodesic.mathdoc.fr/item/VSGTU_2013_2_a13/

[1] A. V. Ankilov, P. A. Vel'misov, Stability of viscoelastic elements of channels walls, Ulyanovsk Technical University, Ulyanovsk, 2000, 115 pp.

[2] L. Kollatc, Problems on own values, Nauka, Moscow, 1968, 503 pp.