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

P. A. Velmisov1, V. A. Sudakov2, A. V. Ankilov3

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

1Doctor of Physics and Mathematics, Head of Higher Mathematics Chair, Uljanovsk State Technical University, Uljanovsk; {velmisov@ulstu.ru.)

2Post-graduate student of Higher Mathematics Chair, Uljanovsk State Technical University, Uljanovsk; {sseevvaa@inbox.ru.)

3Candidate of Physics and Mathematics, assistant professor of Higher Mathematics Chair, Uljanovsk State Technical University, Uljanovsk; {ankil@ulstu.ru.)

Citation: P. A. Velmisov, V. A. Sudakov, A. V. Ankilov, "[Mathematical modeling of the dynamics of the shield in the supersonic gas flow.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,15:3 (2013) 49–57 (In Russian)