ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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Research on dynamics and stability of an elastic element of the flow channel

A. V. Ankilov1, P. A. Velmisov2, Ju. A. Tamarova3

AnnotationDynamics and stability of an elastic element of a wall of a flow channel with a subsonic stream of gas or liquid in it is investigated. Analytical research on stability is conducted on the basis of creation of positive-definite functional. The sufficient stability conditions are obtained. Numerical research of dynamics and stability is conducted on the basis of finite difference method with subsequent realization of numeral experiment on C++.
Keywordsaerohydroelasticity, dynamics, stability, flow channel, elastic plate, deformation, subsonic flow

1 Associate Professor at the Department of Higher Mathematics, Ulyanovsk State Technical University,  Ulyanovsk; ankil@ulstu.ru.

2 Head of the Department of Higher Mathematics, Ulyanovsk State Technical University,  Ulyanovsk; velmisov@ulstu.ru.

3Software Engineer, Ulyanovsk Instrument Manufacturing Design Bureau, Ulyanovsk State Technical University,  Ulyanovsk; kazakovaua@mail.ru

Citation: A. V. Ankilov, P. A. Velmisov, Ju. A. Tamarova, "[Research on dynamics and stability of an elastic element of the flow channel]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,18:1 (2016) 94–107 (In Russian)