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
Citation:
Berezovoj V. P., Tur A. V., Yanovsky V. V., Dynamics of thin tubes under the influence of fluid flow, Rus. J. Nonlin. Dyn.,
2014, Vol. 10, No. 2,
pp. 183-194
DOI:10.20537/nd1402005