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Nelin. Dinam., 2014, Volume 10, Number 2, Pages 183–194 (Mi nd435)  

Dynamics of thin tubes under the influence of fluid flow

Victor P. Berezovoja, Anatoly V. Turb, Vladimir V. Yanovskycd

a Akhiezer Institute for Theoretical Physics, National Science Center Kharkov Institute of Physics and Technology, Akademicheskay 1, Kharkov, 61108, Ukraine
b Université de Toulouse [UPS], CNRS, Institut de Recherche en Astrophysique et Planétologie, 9 avenue du Colonel Roche, BP 44346, 31028 Toulouse Cedex 4, France
c V. N. Karazin Kharkov National University, Svobody Sq. 4, Kharkov, 61022, Ukraine
d Institute for Single Crystals of NAS of Ukraine, Lenin Ave. 60, Kharkov, 61001, Ukraine

Abstract: Proposed simple model movements thin tubes under the influence of fluid flow. Was obtained a nonlinear equation for the string with the flow. Demonstrated the possibility of tube vibrations under the influence of fluid flow and criterion was found linear instability at a constant flow rate. In the condition where the linear instability conditions are violated the possibility of oscillations detected during the presence of small periodic oscillation of flow.

Keywords: string, fluid flow, the equation of motion, instability, parametric resonance.

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UDC: 517.938, 533.1
MSC: 37A60, 65P20
Received: 20.03.2014
Revised: 31.03.2014

Citation: Victor P. Berezovoj, Anatoly V. Tur, Vladimir V. Yanovsky, “Dynamics of thin tubes under the influence of fluid flow”, Nelin. Dinam., 10:2 (2014), 183–194

Citation in format AMSBIB
\Bibitem{BerTouYan14}
\by Victor~P.~Berezovoj, Anatoly~V.~Tur, Vladimir~V.~Yanovsky
\paper Dynamics of thin tubes under the influence of fluid flow
\jour Nelin. Dinam.
\yr 2014
\vol 10
\issue 2
\pages 183--194
\mathnet{http://mi.mathnet.ru/nd435}


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