TECHNICAL PAPERS
Sep 1, 1989

Wind‐Induced Vibration of Two Flexible Cylindrical Structures

Publication: Journal of Engineering Mechanics
Volume 115, Issue 9

Abstract

This paper presents a simple mathematical model that can be used to predict the vortex‐excited resonant response of two flexible cylindrical structures in line with the wind direction. A modified van der Pol equation is employed to account for the effect of fluctuating lift forces on the cylinders, and normal mode technique is used for treating the flexibility of the cylinders. 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. D., and Hassan, A. Y. (1964). “The lift and drag forces on a circular cylinder oscillating in a flowing fluid.” Proc. of the Royal Society of London, London, England, A 277.
2.
Hartlen, R. T., and Currie, I. G. (1970). “Lift‐oscillator model of vortex‐induced vibration.” J. Engrg. Mech., ASCE, (5), 577–591.
3.
Ramberg, S. E., and Griffin, O. M. (1974). “Vortex formation in the wake of a vibrating, flexible cable.” J. Fluids Engrg. Trans. ASME, American Society of Mechanical Engineers, 96, 317–322.
4.
Sallet, D. W. (1973). “The lift force due to von Karman's vortices.” J. Hydronautics, 7(4), 161–165.
5.
Sallet, D. W. (1969). “On the spacing of Karman vortices.” J. Applied Mech. Trans. ASME, American Society of Mechanical Engineers, June, 370–372.
6.
Shiau, L. C., and Yang, T. Y. (1987). “Two‐cylinder model for wind vortex‐induced vibration.” J. Engrg. Mech., ASCE, 113(5), 780–789.
7.
Skop, R. A., and Griffin, O. M. (1975). “On a theory for the vortex‐excited oscillations of flexible cylindrical structures.” J. Sound Vib., 41(3), 263–274.
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Zdravkovich, M. M. (1985). “Flow induced oscillations of two interfering circular cylinders.” J. Sound Vib., 101(4), 511–521.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 115Issue 9September 1989
Pages: 2089 - 2098

History

Published online: Sep 1, 1989
Published in print: Sep 1989

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Authors

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Le‐Chung Shiau
Visiting Prof. of Aeronautics and Astronautics, National Cheng Kung Univ., Taiwan, Republic of China

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