Geodesic
Dynamics of thin tubes under the influence of fluid flow
Russian journal of nonlinear dynamics, Tome 10 (2014) no. 2, pp. 183-194

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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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     author = {Victor P. Berezovoj and Anatoly V. Tur and Vladimir V. Yanovsky},
     title = {Dynamics of thin tubes under the influence of fluid flow},
     journal = {Russian journal of nonlinear dynamics},
     pages = {183--194},
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     volume = {10},
     number = {2},
     year = {2014},
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     url = {http://geodesic.mathdoc.fr/item/ND_2014_10_2_a4/}
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Victor P. Berezovoj; Anatoly V. Tur; Vladimir V. Yanovsky. Dynamics of thin tubes under the influence of fluid flow. Russian journal of nonlinear dynamics, Tome 10 (2014) no. 2, pp. 183-194. http://geodesic.mathdoc.fr/item/ND_2014_10_2_a4/