Two‐Cylinder Model for Wind Vortex‐Induced Vibration
Publication: Journal of Engineering Mechanics
Volume 113, Issue 5
Abstract
A simple mathematical model for predicting the vortex‐excited resonant response of two cylinders in line with the wind direction is presented. For the model, a modified van der Pol equation is employed to account for the effect of fluctuating lift force on the cylinder, and this equation is coupled with the equation for the oscillatory motion of the cylinder. The governing equations are nonlinear in nature, and the solutions of these equations are assumed to be in the form of sinusoidal functions. Results obtained are in good agreement with the experimental data.
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References
1.
Bishop, R. E., and Hassan, A. Y., “The Lift and Drag Forces on a Circular Cylinder Oscillating in a Flowing Fluid,” Proceedings of the Royal Society of London, Series A, Vol. 277, 1964.
2.
Hartlen, R. T., and Currie, I. G., “Lift‐oscillator Model of Vortex‐induced Vibration,” Journal of the Engineering Mechanics Division, ASCE, No. 5, Oct., 1970, pp. 577–591.
3.
Mair, W. A., and Maull, D. J., “Aerodynamics Behavior of Bodies in the Wakes of Other Bodies,” Philosophical Transactions of the Royal Society of London, Series A, Vol. 269, 1971, pp. 425–437.
4.
Sallet, D. W., “On the Spacing of Karman Vortices,” Journal of Applied Mechanics, ASME, Jun., 1969, p. 370.
5.
Sallet, D. W., “The Lift Force due to von Karman's Vortex Wake,” Journal of Hydronautics, Vol. 7, No. 4, 1973, p. 161.
6.
Vickery, B. J., and Watkins, R. D., “Flow‐induced Vibrations of Cylindrical Structures,” Proceedings of the First Australian Conference on Hydraulics and Applied Mechanics, 1963, pp. 213–241.
Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 113 • Issue 5 • January 1987
Pages: 780 - 789
Copyright
Copyright © 1987 ASCE.
History
Published online: Jan 1, 1987
Published in print: Jan 1987
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