RUS  ENG
Full version
JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

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.

UDC: 517.938, 533.1

MSC: 37A60, 65P20

Received: 20.03.2014
Revised: 31.03.2014



© Steklov Math. Inst. of RAS, 2025