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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2013, Volume 15, Number 3, Pages 49–57 (Mi svmo398)

In Middle Volga Mathematical Society

Mathematical modeling of the dynamics of the shield in the supersonic gas flow

P. A. Vel'misov, V. A. Sudakov, A. V. Ankilov

Ulyanovsk State Technical University

Abstract: The solution of the initial-boundary value problem for a coupled system of differential equations describing the dynamics of the elastic wall (shield) tank filled with liquid, the interaction of the wall with a supersonic flow of gas. Numerical-analytical solution based on the method of Bubnov-Galerkin, allows a numerical experiment to determine the nature of the oscillations.

Keywords: aerohydroelasticity, elastic plate, deformation, dynamics, stability, supersonic flow of gas, liquid, differential equations with partial derivatives, the numerical solution, Bubnov-Galerkin method.

UDC: 533.6.013.42



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