Advertisement

China Ocean Engineering

, Volume 33, Issue 1, pp 44–56 | Cite as

Vortex-Induced Vibrations of A Long Flexible Cylinder in Linear and Exponential Shear Flows

  • Yun GaoEmail author
  • Bin Yang
  • Li Zou
  • Zhi Zong
  • Zhuang-zhuang Zhang
Article
  • 6 Downloads

Abstract

A numerical study based on a wake oscillator model was conducted to determine the response performance of vortex-induced vibration (VIV) on a long flexible cylinder with pinned-pinned boundary conditions subjected to linear and exponential shear flows. The coupling equations of a structural vibration model and wake oscillator model were solved using a standard central finite difference method of the second order. The VIV response characteristics including the structural displacement, structural frequency, structural wavenumber, standing wave behavior, travelling wave behavior, structural velocity, lift force coefficient and transferred energy from the fluid to the structure with different flow profiles were compared. The numerical results show that the VIV displacement is a combination of standing waves and travelling waves. For linear shear flow, standing waves and travelling waves dominate the VIV response within the low-velocity and high-velocity zones, respectively. The negative values of the transferred energy only occur within the low-velocity zone. However, for exponential shear flow, travelling waves dominate the VIV response and the negative energy occurs along the entire length of the cylinder.

Key words

vortex-induced vibration long flexible cylinder wake oscillator model exponential shear flow transferred energy 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bearman P.W., 1984. Vortex shedding from oscillating bluff bodies, Annual Review of Fluid Mechanics, 16, 195–222.CrossRefzbMATHGoogle Scholar
  2. Bishop R.E.D. and Hassan A.Y., 1964. The lift and drag forces on a circular cylinder in a flowing fluid, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 277(1368), 32–50.Google Scholar
  3. Bourguet R., Karniadakis G.E. and Triantafyllou M.S., 2013a. Distributed lock-in drives broadband vortex-induced vibrations of a long flexible cylinder in shear flow, Journal of Fluid Mechanics, 717, 361–375.CrossRefzbMATHGoogle Scholar
  4. Bourguet R., Karniadakis G.E. and Triantafyllou M.S., 2013b. Multifrequency vortex-induced vibrations of a long tensioned beam in linear and exponential shear flows, Journal of Fluids and Structures, 41, 33–42.CrossRefGoogle Scholar
  5. Doan V.P. and Nishi Y., 2015. Modeling of fluid-structure interaction for simulating vortex-induced vibration of flexible riser: Finite difference method combined with wake oscillator model, Journal of Marine Science and Technology, 20(2), 309–321.CrossRefGoogle Scholar
  6. Evangelinos C. and Karniadakis G.E., 1999. Dynamics and flow structures in the turbulent wake of rigid and flexible cylinders subject to vortex-induced vibrations, Journal of Fluid Mechanics, 400, 91–124.MathSciNetCrossRefzbMATHGoogle Scholar
  7. Facchinetti M.L., de Langre E. and Biolley F., 2004. Coupling of structure and wake oscillators in vortex-induced vibrations, Journal of Fluids and Structures, 19(2), 123–140.CrossRefGoogle Scholar
  8. Farshidianfar A. and Zanganeh H., 2010. A modified wake oscillator model for vortex-induced vibration of circular cylinders for a wide range of mass-damping ratio, Journal of Fluids and Structures, 26(3), 430–441.CrossRefGoogle Scholar
  9. Gao Y., Fu S.X., Cao J. and Chen Y.F., 2015. Experimental study on response performance of VIV of a flexible riser with helical strakes, China Ocean Engineering, 29(5), 673–690.CrossRefGoogle Scholar
  10. Gao Y., Yang J.D., Xiong Y.M., Wang M.H. and Peng G., 2016. Experimental investigation of the effects of the coverage of helical strakes on the vortex-induced vibration response of a flexible riser, Applied Ocean Research, 59, 53–64.CrossRefGoogle Scholar
  11. Gao Y., Zong Z., Zou L. and Takagi S., 2018a. Vortex-induced vibrations and waves of a long circular cylinder predicted using a wake oscillator model, Ocean Engineering, 156, 294–305.CrossRefGoogle Scholar
  12. Gao Y., Zong Z., Zou L., Takagi S. and Jiang Z.Y., 2018b. Numerical simulation of vortex-induced vibration of a circular cylinder with different surface roughnesses, Marine Structures, 57, 165–179.CrossRefGoogle Scholar
  13. Ge F., Long X., Wang L. and Hong Y.S., 2009. Flow-induced vibrations of long circular cylinders modeled by coupled nonlinear oscillators, Science in China Series G: Physics, Mechanics and Astronomy, 52(7), 1086–1093.CrossRefGoogle Scholar
  14. Govardhan R. and Williamson C.H.K., 2000. Modes of vortex formation and frequency response of a freely vibrating cylinder, Journal of Fluid Mechanics, 420, 85–130.MathSciNetCrossRefzbMATHGoogle Scholar
  15. Guo H.Y. and Lou M., 2008. Experimental study on coupled crossflow and in-line vortex-induced vibration of flexible risers, China Ocean Engineering, 22(1), 123–129.Google Scholar
  16. Hartlen R.T. and Currie I.G., 1970. Lift-oscillator model of vortex-induced vibration, Journal of the Engineering Mechanics Division, 96(5), 577–591.Google Scholar
  17. Jin Y.M. and Dong P., 2016. A novel wake oscillator model for simulation of cross-flow vortex induced vibrations of a circular cylinder close to a plane boundary, Ocean Engineering, 117, 57–62.CrossRefGoogle Scholar
  18. Kang Z., Ni W.C., Zhang X. and Sun L.P., 2017. Two improvements on numerical simulation of 2-DOF vortex-induced vibration with low mass ratio, China Ocean Engineering, 31(6), 764–772.CrossRefGoogle Scholar
  19. Kang Z., Zhang C. and Chang R., 2018. A higher-order nonlinear oscillator model for coupled cross-flow and in-line VIV of a circular cylinder, Ships and Offshore Structures, 13(5), 488–503.CrossRefGoogle Scholar
  20. Lucor D., Mukundan H. and Triantafyllou M.S., 2006. Riser modal identification in CFD and full-scale experiments, Journal of Fluids and Structures, 22(6–7), 905–917.CrossRefGoogle Scholar
  21. Mathelin L. and de Langre E., 2005. Vortex-induced vibrations and waves under shear flow with a wake oscillator model, European Journal of Mechanics B/Fluids, 24(4), 478–490.MathSciNetCrossRefzbMATHGoogle Scholar
  22. Nayfeh A.H., 1993. Introduction to Perturbation Techniques, Wiley, New York.zbMATHGoogle Scholar
  23. Newman D. J. and Karniadakis G.E., 1997. A direct numerical simulation study of flow past a freely vibrating cable, Journal of Fluid Mechanics, 344, 95–136.CrossRefzbMATHGoogle Scholar
  24. Sarpkaya T., 1979. Vortex-induced oscillations: A selective review, Journal of Applied Mechanics, 46(2), 241–258.CrossRefGoogle Scholar
  25. Song J.N., Lu L., Teng B., Park H.I., Tang G.Q. and Wu H., 2011. Laboratory tests of vortex-induced vibrations of a long flexible riser pipe subjected to uniform flow, Ocean Engineering, 38(11–12), 1308–1322.CrossRefGoogle Scholar
  26. Song L.J., Fu S.X., Cao J., Ma L.X. and Wu J.Q., 2016. An investigation into the hydrodynamics of a flexible riser undergoing vortexinduced vibration, Journal of Fluids and Structures, 63, 325–350.CrossRefGoogle Scholar
  27. Song L.J., Fu S.X., Li M., Gao Y. and Ma L.X., 2017. Tension and drag forces of flexible risers undergoing vortex-induced vibration, China Ocean Engineering, 31(1), 1–10.CrossRefGoogle Scholar
  28. Vandiver J.K., Jaiswal V. and Jhingran V., 2009. Insights on vortexinduced, traveling waves on long risers, Journal of Fluids and Structures, 25(4), 641–653.CrossRefGoogle Scholar
  29. Violette R., de Langre E. and Szydlowski J., 2007. Computation of vortex-induced vibrations of long structures using a wake oscillator model: Comparison with DNS and experiments, Computers and Structures, 85(11–14), 1134–1141.CrossRefGoogle Scholar
  30. Xu W.H., Luo Y.S., Liu L.Q. and Wu Y.X., 2017. Influences of the helical strake cross-section shape on vortex-induced vibrations suppression for a long flexible cylinder, China Ocean Engineering, 31(4), 438–446.CrossRefGoogle Scholar
  31. Xu W.H., Wu Y.X., Zeng X.H., Zhong X.F. and Yu J.X., 2010. A new wake oscillator model for predicting vortex induced vibration of a circular cylinder, Journal of Hydrodynamics, 22(3), 381–386.CrossRefGoogle Scholar
  32. Xu W.H., Zeng X.H. and Wu Y.X., 2008. High aspect ratio (L/D) riser VIV prediction using wake oscillator model, Ocean Engineering, 35(17–18), 1769–1774.CrossRefGoogle Scholar
  33. Xu W.H., Zhang S.H., Zhou L.D. and Gao X.F., 2018. Use of helical strakes for FIV suppression of two inclined flexible cylinders in a side-by-side arrangement, China Ocean Engineering, 32(3), 331–340.CrossRefGoogle Scholar
  34. Zhao M., 2015. Numerical simulation of vortex-induced vibration of a circular cylinder in a spanwise shear flow, Physics of Fluids, 27(6), 063101.CrossRefzbMATHGoogle Scholar

Copyright information

© Chinese Ocean Engineering Society and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Yun Gao
    • 1
    Email author
  • Bin Yang
    • 1
  • Li Zou
    • 2
    • 3
  • Zhi Zong
    • 2
  • Zhuang-zhuang Zhang
    • 1
  1. 1.State Key Laboratory of Oil and Gas Reservoir Geology and ExplorationSouthwest Petroleum UniversityChengduChina
  2. 2.School of Naval ArchitectureDalian University of TechnologyDalianChina
  3. 3.Collaborative Innovation Center for Advanced Ship and Deep-Sea ExplorationShanghaiChina

Personalised recommendations