|
This article is cited in 17 scientific papers (total in 17 papers)
Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Mechanics and Classical Field Theory
Stability of solution of one nonlinear initial-boundary problem of aeroelasticity
A. V. Ankilova, P. A. Vel'misova, Yu. A. Kazakovab a Ulyanovsk State Technical University, Ulyanovsk, 432027, Russia
b Ulyanovsk Instrument Manufacturing Design Bureau, Ulyanovsk,
432071, Russia
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
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).
Original article submitted 16/XI/2012 revision submitted – 27/III/2013
Citation:
A. V. Ankilov, P. A. Vel'misov, Yu. A. Kazakova, “Stability of solution of one nonlinear initial-boundary problem of aeroelasticity”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(31) (2013), 120–126
Linking options:
https://www.mathnet.ru/eng/vsgtu1180 https://www.mathnet.ru/eng/vsgtu/v131/p120
|
Statistics & downloads: |
Abstract page: | 494 | Full-text PDF : | 245 | References: | 63 | First page: | 1 |
|