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Dual resonance in vortex-induced vibrations at subcritical and supercritical Reynolds numbers

Published online by Cambridge University Press:  05 January 2010

J. M. DAHL ,
F. S. HOVER ,
M. S. TRIANTAFYLLOU  and
O. H. OAKLEY
J. M. DAHL*
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA
F. S. HOVER
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA
M. S. TRIANTAFYLLOU
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA
O. H. OAKLEY
Affiliation:
Chevron Energy Technology Company, 6001 Bollinger Canyon Road, Rm. L-4228, San Ramon, CA 94583, USA
*
†Present address: Singapore–MIT Alliance for Research and Technology Centre, S16-05-08 3 Science Drive 2, Singapore117543. Email address for correspondence: jdahl@smart.mit.edu
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Abstract

An experimental study is performed on the vortex induced vibrations of a rigid flexibly mounted circular cylinder placed in a crossflow. The cylinder is allowed to oscillate in combined crossflow and in-line motions, and the ratio of the nominal in-line and transverse natural frequencies is varied systematically. Experiments were conducted on a smooth cylinder at subcritical Reynolds numbers between 15 000 and 60 000 and on a roughened cylinder at supercritical Reynolds numbers between 320 000 and 710 000, with a surface roughness equal to 0.23 % of the cylinder diameter. Strong qualitative and quantitative similarities between the subcritical and supercritical experiments are found, especially when the in-line natural frequency is close to twice the value of the crossflow natural frequency. In both Reynolds number regimes, the test cylinder may exhibit a ‘dual-resonant’ response, resulting in resonant crossflow motion at a frequency fv, near the Strouhal frequency, and resonant in-line motion at 2 fv. This dual resonance is shown to occur over a relatively wide frequency region around the Strouhal frequency, accompanied by stable, highly repeatable figure-eight cylinder orbits, as well as large third-harmonic components of the lift force. Under dual-resonance conditions, both the subcritical and the supercritical response is shown to collapse into a narrow parametric region in which the effective natural-frequency ratio is near the value 2, regardless of the nominal natural-frequency ratio. Some differences are noted in the magnitudes of forces and the cylinder response between the two different Reynolds number regimes, but the dual-resonant response and the resulting force trends are preserved despite the large Reynolds number difference.

JFM classification

Wakes/Jets: Separated flows Wakes/Jets: Vortex streets
Type
Papers
Information
Journal of Fluid Mechanics , Volume 643 , 25 January 2010 , pp. 395 - 424
Copyright
Copyright © Cambridge University Press 2010

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References

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