Abstract
This article proposes a new wake oscillator model for vortex induced vibrations of an elastically supported rigid circular cylinder in a uniform current. The near wake dynamics related with the fluctuating nature of vortex shedding is modeled based on the classical van der Pol equation, combined with the equation for the oscillatory motion of the body. An appropriate approach is developed to estimate the empirical parameters in the wake oscillator model. The present predicted results are compared to the experimental data and previous wake oscillator model results. Good agreement with experimental results is found.
Similar content being viewed by others
References
SARPKAYA T. A critical review of the intrinsic nature of vortex-induced vibrations[J]. Journal of Fluids and Structures, 2004, 19(4): 389–447.
GABBAI R. D., BENAROYA H. An overview of modeling and experiments of vortex -induced vibration of circular cylinders[J]. Journal of Sound and Vibration, 2005, 282: 575–616.
Williamson C. H. K., GOVARDHAN R. A brief review of recent results in vortex-induced vibrations[J]. Journal of Wind engineering and industrial Aerodynamics, 2008, 96(6–7): 713–735.
NEWMAND J., KARNIADAKISG E. A direct numerical simulation study of flow past a freely vibrating cable[J]. Journal of Fluid Mechanics, l997, 344: 95–136.
SHA Yong, WANG Yong-xue. Vortex induced vibrations of finned cylinders[J]. Journal of Hydrodynamics, 2008, 20(2): 195–201.
SKOP R. A., BALASUBRAMANIAN S. A new twist on an old model for vortex-excited vibrations[J]. Journal of Fluids and Structures, 1997, 11(4): 395–412.
SKOP R. A., LUO G. An inverse-direct method for predicting the vortex-induced vibrations of cylinders in uniform and nonuniform flows[J]. Journal of Fluids and Structures, 2001,15(6): 867–884.
KRENK S., NIELSEN S. R. K. Energy balanced double oscillator model for vortex-induced vibrations[J]. ASCE Journal of Engineering Mechanics, 1999, 125(3): 263–271.
PLASCHKO P. Global chaos in flow-induced oscillations of cylinders[J]. Journal of Fluids and Structures, 2000, 14(6): 883–893.
FACCHINETTI M. L., DE LANGRE E. and BIOLLEY F. Coupling of structure and wake oscillators in vortex-induced vibrations[J]. Journal of Fluids and Structures, 2004,19(2): 123–140.
FACCHINETTI M. L, DE LANGRE E. and BIOLLEY F. Vortex-induced travelling waves along a cable[J]. European Journal of Mechanics B/Fluids, 2004, 23(1): 199–208.
MATHELIN L., DE LANGRE E. Vortex-induced vibrations and waves under shear flow with a wake oscillator model[J]. European Journal of Mechanics B/Fluids, 2005, 24(4): 478–490.
VIOLETTE R., DE LANGRE E. and SZYDLOWSKI J. Computation of vortex-induced vibrations of long structures using a wake oscillator model: Comparison with DNS and experiments[J]. Computers and Structures, 2007, 85(11–14): 1134–1141.
LIN Li-ming, LING Guo-can and WU Ying-xiang et al. Nonlinear fluid damping in structure-wake oscillators in modeling vortex-induced vibrations[J]. Journal of Hydrodynamics, 2009, 21(1): 1–11.
KHALAK A., WILLIAMSON C. H. K. Investigation of relative effects of mass and damping in vortex-induced vibration of a circular cylinder[J]. Journal of Wind Engineering and Industrial Aerodynamics, 1997, 69–71: 341–350.
GOVARDHAN R., WILLIAMSON C. H. K. Modes of vortex formation and frequency response of a freely vibrating cylinder[J]. Journal of Fluid Mechanics, 2000, 420: 85–130.
Author information
Authors and Affiliations
Corresponding author
Additional information
Project supported by the National High Technology Research and Development Program of China (863 Program, Grant No. 2006AA09Z350), the National Natural Science Foundation of China (Grant No.10702073) and the Knowledge Innovation Program of Chinese Academy of Sciences (Grant No. KJCX2-YW-L02).
Biography: XU Wan-hai (1981-), Male, Ph. D.
Rights and permissions
About this article
Cite this article
Xu, Wh., Wu, Yx., Zeng, Xh. et al. A New Wake Oscillator Model for Predicting Vortex Induced Vibration of a Circular Cylinder. J Hydrodyn 22, 381–386 (2010). https://doi.org/10.1016/S1001-6058(09)60068-8
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1016/S1001-6058(09)60068-8