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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2014, Volume 10, Number 2, Pages 183–194
(Mi nd435)
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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.
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
Linking options:
https://www.mathnet.ru/eng/nd435 https://www.mathnet.ru/eng/nd/v10/i2/p183
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| Abstract page: | 341 | | Full-text PDF : | 197 | | References: | 68 |
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