A Study on the Vortex-Induced Vibration Mechanism of Cantilever Cylinders Under Gas-Liquid Cross Flows

YAN Hao; DAI Huliang; WANG Lin; NI Qiao

doi:10.21656/1000-0887.430065

Volume 43 Issue 5

May 2022

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YAN Hao, DAI Huliang, WANG Lin, NI Qiao. A Study on the Vortex-Induced Vibration Mechanism of Cantilever Cylinders Under Gas-Liquid Cross Flows[J]. Applied Mathematics and Mechanics, 2022, 43(5): 577-585. doi: 10.21656/1000-0887.430065

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A Study on the Vortex-Induced Vibration Mechanism of Cantilever Cylinders Under Gas-Liquid Cross Flows

doi: 10.21656/1000-0887.430065

YAN Hao^{1, 2
,},
DAI Huliang^{1, 2
,
,},
WANG Lin^{1, 2},
NI Qiao^{1, 2}

1.
Department of Engineering Mechanics, School of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, P.R.China
2.
Hubei Key Laboratory of Engineering Structural Analysis and Safety Assessment, Wuhan 430074, P.R.China

Received Date: 2022-03-02
Rev Recd Date: 2022-03-29

Available Online: 2022-04-12

Publish Date: 2022-05-01

Abstract

Abstract

Aimed at vortex-induced vibration (VIV) of the submarine reconnaissance telescope lifting above the water surface, a theoretical model for VIV of a cantilever cylinder under the actions of two different cross flows, i.e. gas and liquid, was established. The effects of parameters such as the distribution ratio and the density ratio for these two fluids on VIV responses of the cylinder were studied. Based on the Galerkin technique and the Runge-Kutta algorithm, numerical results of the cylinder vibration responses were obtained. The results show that, the increase of the distribution ratio can widen the lock-in range of the cylinder. The peak amplitude of the cylinder increases first and then decreases with the distribution ratio. The amplitude reaches the maximum value with a distribution ratio of 0.5, and this maximum value will increase with the decrease of the density ratio. In addition, single-period and multi-period motions will occur with the change of the fluid distribution ratio. The present research provides a theoretical guidance for the design and analysis of the submarine reconnaissance telescope.
- vortex-induced vibration,
- cantilever cylinder,
- lock-in,
- cross flow

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References(18)

References

[1]	LANGRE E. Frequency lock-in is caused by coupled-mode flutter[J]. Journal of Fluids and Structures, 2006, 22(6/7): 783-791.
[2]	BRIKA D, LANEVILLE A. Vortex-induced vibrations of a long flexible circular cylinder[J]. Journal of Fluid Mechanics, 1993, 250: 481-508. doi: 10.1017/S0022112093001533
[3]	ZHOU C Y, SO R M C, LAM K. Vortex-induced vibrations of an elastic circular cylinder[J]. Journal of Fluids and Structures, 1999, 13(2): 165-189. doi: 10.1006/jfls.1998.0195
[4]	孙云卿, 吴志强, 章国齐, 等. 海洋立管双模态动力学分岔分析[J]. 应用数学和力学, 2020, 41(5): 480-490. (SUN Yunqing, WU Zhiqiang, ZHANG Guoqi, et al. Bifurcation analysis of dual-mode dynamics for marine risers[J]. Applied Mathematics and Mechanics, 2020, 41(5): 480-490.(in Chinese)
[5]	BISHOP R E D, HASSAN A. The lift and drag forces on a circular cylinder oscillating in a flowing fluid[J]. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1964, 277(1368): 51-75.
[6]	GRIFFIN O M, SKOP R A, KOOPMANN G H. The vortex-excited resonant vibrations of circular cylinders[J]. Journal of Sound and Vibration, 1973, 31(2): 235-249. doi: 10.1016/S0022-460X(73)80377-3
[7]	SKOP R, GRIFFIN O. On a theory for the vortex-excited oscillations of flexible cylindrical structures[J]. Journal of Sound and Vibration, 1975, 41(3): 263-274. doi: 10.1016/S0022-460X(75)80173-8
[8]	SKOP R A, BALASUBRAMANIAN S. A new twist on an old model for vortex-excited vibration[J]. Journal of Fluids and Structures, 1997, 11(4): 395-412. doi: 10.1006/jfls.1997.0085
[9]	FACCHINETTI M L, LANGRE E, BIOLLEY F. Coupling of structure and wake oscillators in vortex-induced vibrations[J]. Journal of Fluids and Structures, 2004, 19(2): 123-140. doi: 10.1016/j.jfluidstructs.2003.12.004
[10]	VIOLETTE R, LANGRE E, SZYDLOWSKI J. Computation of vortex-induced vibrations of long structures using a wake oscillator model: comparison with DNS and experiments[J]. Computers & Structures, 2007, 85(11/14): 1134-1141.
[11]	PAÏDOUSSIS M P, SEMLER C. Nonlinear dynamics of a fluid-conveying cantilevered pipe with an intermediate spring support[J]. Journal of Fluids and Structures, 1993, 7(3): 269-298. doi: 10.1006/jfls.1993.1017
[12]	MUNIR A, ZHAO M, WU H, et al. Numerical investigation of the effect of plane boundary on two-degree-of-freedom of vortex-induced vibration of a circular cylinder in oscillatory flow[J]. Ocean Engineering, 2018, 148: 17-32. doi: 10.1016/j.oceaneng.2017.11.022
[13]	YANG W, AI Z, ZHANG X D, et al. Nonlinear three-dimensional dynamics of a marine viscoelastic riser subjected to uniform flow[J]. Ocean Engineering, 2018, 149: 38-52. doi: 10.1016/j.oceaneng.2017.12.004
[14]	GE Fei, LONG Xu, WANG Lei, et al. Flow-induced vibrations of long circular cylinders modeled by coupled nonlinear oscillators[J]. Science in China (Series G): Physics, Mechanics and Astronomy, 2009, 52(7): 1086-1093. doi: 10.1007/s11433-009-0128-8
[15]	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(3/5): 575-616.
[16]	BLEVINS R. Flow-Induced Vibrations[M]. New York: Van Nostrand Reinhold, 1990.
[17]	KEBER M, WIERCIGROCH M. Dynamics of a vertical riser with weak structural nonlinearity excited by wakes[J]. Journal of Sound and Vibration, 2008, 315(3): 685-699. doi: 10.1016/j.jsv.2008.03.023
[18]	DAI Huliang, WANG Lin, QIAN Qin, et al. Vortex-induced vibrations of pipes conveying fluid in the subcritical and supercritical regimes[J]. Journal of Fluids and Structures, 2013, 39: 322-334. doi: 10.1016/j.jfluidstructs.2013.02.015