Steady self-sustained vibrations of structures with two-side flowing of potential gas sream

Thin-walled structures with geometrical nonlinearity flowing by potential gas stream are analyzed. The method for stability and bifurcations analysis of such systems is investigated. The basis of this approach is solution of the singular integral equations with respect to aerodynamic derivatives of...

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Bibliographic Details
Date:2015
Main Authors: Аврамов, К. В., Михлин, Ю. В., Романенко, В. Н., Киреенков, А. А.
Format: Article
Language:Russian
Published: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2015
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Online Access:https://journals.uran.ua/jme/article/view/48059
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Journal Title:Energy Technologies & Resource Saving

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Energy Technologies & Resource Saving
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Summary:Thin-walled structures with geometrical nonlinearity flowing by potential gas stream are analyzed. The method for stability and bifurcations analysis of such systems is investigated. The basis of this approach is solution of the singular integral equations with respect to aerodynamic derivatives of the pressure drop. Using the Bubnov-Galerkin method, the nonlinear dynamical system with respect to the plate general coordinates is derived. The combination of the shooting technique and continuation method is used to analyze bifurcations and stability of the self-sustained vibrations.