Wind and Structures

  • 제26권5호
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  • Pages.267-277
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  • 2018
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  • 1226-6116(pISSN)
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  • 1598-6225(eISSN)
테크노프레스 (Techno-Press)
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Vortex-induced vibration of a long flexible cylinder in uniform cross-flow

  • Ji, Chunning (State Key Laboratory of Hydraulic Engineering Simulation & Safety, Tianjin University) ;
  • Peng, Ziteng (State Key Laboratory of Hydraulic Engineering Simulation & Safety, Tianjin University) ;
  • Alam, Md. Mahbub (Institute for Turbulence-Noise-Vibration Interaction and Control, Shenzhen Graduate School, Harbin Institute of Technology) ;
  • Chen, Weilin (State Key Laboratory of Hydraulic Engineering Simulation & Safety, Tianjin University) ;
  • Xu, Dong (State Key Laboratory of Hydraulic Engineering Simulation & Safety, Tianjin University)
  • 투고 : 2017.09.18
  • 심사 : 2017.12.27
  • 발행 : 2018.05.25
⟨ 이전 논문 다음 논문 ⟩

초록

Numerical simulations are performed of a long flexible cylinder undergoing vortex-induced vibration at a Reynolds number of 500. The cylinder is pinned at both ends, having an aspect ratio of 100 (cylinder length to cylinder diameter) and a mass ratio of 4.2 (structural mass to displaced fluid mass). Temporal and spatial information on the cross-flow (CF) and in-line (IL) vibrations is extracted. High modal vibrations up to the $6^{th}$ in the CF direction and the $11^{th}$ in the IL direction are observed. Both the CF and IL vibrations feature a multi-mode mixed pattern. Mode competition is observed. The $2^{nd}$ mode with a low frequency dominates the IL vibration and its existence is attributed to a wave group propagating back and forth along the span. Distributions of fluid force coefficients are correlated to those of the CF and IL vibrations along the span. Histograms of the x'-y motion phase difference are evaluated from the total simulation time and a complete vibration cycle representing the standing or travelling wave pattern. Correlations between the phase difference and the vibrations are discussed. Vortex structures behind the cylinder show an interwoven near-wake pattern when the standing wave pattern dominates, but an oblique near-wake pattern when the travelling wave pattern prevails.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China

참고문헌

  1. Assi, G.R.S., Bearman, P.W., Carmo, B., Meneghini, J., Sherwin, S. and Willden, R. (2013), "The role of wake stiffness on the wake-induced vibration of the downstream cylinder of a tandem pair", J. Fluid Mech., 718, 210-245. https://doi.org/10.1017/jfm.2012.606
  2. Bourguet, R., Karniadakis, G.E. and Triantafyllou, M.S. (2011), "Vortex-induced vibrations of a long flexible cylinder in shear flow", J. Fluid Mech., 677, 342-382. https://doi.org/10.1017/jfm.2011.90
  3. Bourguet, R. and Jacono, D. (2014), "Flow-induced vibrations of a rotating cylinder", J. Fluid. Mech., 740, 342-380. https://doi.org/10.1017/jfm.2013.665
  4. Brika, D. and Laneville, A. (1993), "Vortex-induced vibrations of a long flexible circular cylinder", J. Fluid Mech., 250, 481-508. https://doi.org/10.1017/S0022112093001533
  5. Chaplin, J.R., Bearman, P.W., Huera-Huarte, F.J. and Pattenden, R.J. (2005), "Laboratory measurements of vortex-induced vibrations of a vertical tension riser in a stepped current", J Fluid. Struct., 21(1), 3-24. https://doi.org/10.1016/j.jfluidstructs.2005.04.010
  6. Chen, W., Ji, C., Xu, W., Liu, S. and Campbell, J. (2015a), "Response and wake patterns of two side-by-side elastically supported circular cylinders in uniform laminar cross-flow", J Fluid. Struct., 55, 218-236. https://doi.org/10.1016/j.jfluidstructs.2015.03.002
  7. Chen, W., Ji, C., Wang, R., Xu, D. and Campbell, J. (2015a), "Flow-induced vibrations of two side-by-side circular cylinders: Asymmetric vibration, symmetry hysteresis and near-wake patterns", Ocean Eng., 110, 244-257. https://doi.org/10.1016/j.oceaneng.2015.10.028
  8. Huera-Huarte, F.J. and Bearman, P.W. (2009a), "Wake structures and vortex-induced vibrations of a long flexible cylinder-part 1: Dynamic response", J. Fluid. Struct., 25(6), 969-990. https://doi.org/10.1016/j.jfluidstructs.2009.03.007
  9. Huera-Huarte, F.J. and Bearman, P.W. (2009b), "Wake structures and vortex-induced vibrations of a long flexible cylinder-part 2: Drag coefficients and vortex modes", J. Fluid. Struct., 25(6), 991-1006. https://doi.org/10.1016/j.jfluidstructs.2009.03.006
  10. Jauvtis, N. and Williamson, C.H.K. (2004), "The effect of two degrees of freedom on vortex-induced vibration at low mass and damping", J. Fluid Mech., 509, 23-62. https://doi.org/10.1017/S0022112004008778
  11. Ji. C., Munjiza, A. and Williams, J.J.R. (2012), "A novel iterative direct-forcing immersed boundary method and its finite volume applications", J. Comput. Phys., 231(4), 1797-1821. https://doi.org/10.1016/j.jcp.2011.11.010
  12. Kim, S. and Alam, M.M. (2015), "Characteristics and suppression of flow-induced vibrations of two side-by-side circular cylinders", J. Fluid. Struct., 54, 629-642. https://doi.org/10.1016/j.jfluidstructs.2015.01.004
  13. Lucor, D., Mukundan, H. and Triantafyllou, M.S. (2006), "Riser modal identification in CFD and full-scale experiments", J Fluid. Struct., 22, 905-917. https://doi.org/10.1016/j.jfluidstructs.2006.04.006
  14. Newman, D.J. and Karniadakis, G.E. (1997), "A direct numerical simulation study of flow past a freely vibrating cable", J. Fluid Mech., 344, 95-136. https://doi.org/10.1017/S002211209700582X
  15. Peskin, C.S. (1972), "Flow patterns around heart valves: A numerical method", J. Comput. Phys., 10(2), 252-271. https://doi.org/10.1016/0021-9991(72)90065-4
  16. Peskin, C.S. (2002), "The immersed boundary method", Acta Numerica, 11, 479-517.
  17. Qin, B., Alam, M.M. and Zhou, Y. (2017), "Two tandem cylinders of different diameters in crossflow: flow-induced vibration", J Fluid Mech., 829, 629-658.
  18. Sarpkaya, T., (2004), "A critical review of the intrinsic nature of vortex-induced vibrations", J. Fluid. Struct., 19, 389-447. https://doi.org/10.1016/j.jfluidstructs.2004.02.005
  19. Shen, L., Chan, E-S. and Lin, P. (2009), "Calculation of hydrodynamic forces acting on a submerged moving object using immersed boundary method", Comput. Fluids, 38, 691-702. https://doi.org/10.1016/j.compfluid.2008.07.002
  20. Shiels, D., Leonard, A. and Roshko, A. (2001), "Flow-induced vibration of a circular cylinder at limiting structural parameters", J. Fluid. Struct., 15, 3-21. https://doi.org/10.1006/jfls.2000.0330
  21. Vandiver, J.K. (1993), "Dimensionless parameters important to the prediction of vortex-induced vibration of long, flexible cylinders in ocean currents", J. Fluid. Struct., 7(5), 423-455. https://doi.org/10.1006/jfls.1993.1028
  22. Vandiver, J.K. Jaiswal, V. and Jhingran, V. (2009), "Insights on vortex-induced, traveling waves on long risers", J. Fluid. Struct., 25(4), 641-653. https://doi.org/10.1016/j.jfluidstructs.2008.11.005
  23. Van der Vorst, H.A. (1992), "Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems", SIAM J. Sci. and Stat. Comput., 13(2), 631-644. https://doi.org/10.1137/0913035
  24. Williamson, C.H.K. and Roshko, A. (1988), "Vortex formation in the wake of an oscillating cylinder", J Fluid. Struct., 2(4), 355-381. https://doi.org/10.1016/S0889-9746(88)90058-8
  25. Williamson, C.H.K. and Govardhan, R. (2004), "Vortex-induced vibrations", Annu. Rev. Fluid Mech., 36, 413-455. https://doi.org/10.1146/annurev.fluid.36.050802.122128
  26. Williamson, C.H.K. and Govardhan, R. (2008), "A brief review of recent results in vortex-induced vibrations", J. Wind Eng. Ind. Aerod., 96, 713-735. https://doi.org/10.1016/j.jweia.2007.06.019
  27. Wu, X.D., Ge, F. and Hong, Y.S. (2012), "A review of recent studies on vortex-induced vibrations of long slender cylinders", J. Fluid. Struct., 28, 292-308. https://doi.org/10.1016/j.jfluidstructs.2011.11.010

피인용 문헌

  1. Vortex induced vibration analysis of a cylinder mounted on a flexible rod vol.29, pp.6, 2019, https://doi.org/10.12989/was.2019.29.6.441
  2. A review on flow-induced vibration of offshore circular cylinders vol.32, pp.3, 2018, https://doi.org/10.1007/s42241-020-0032-2
  3. Comparison of Two-Dimensional and Three- Dimensional Responses for Vortex-Induced Vibrations of a Rectangular Prism vol.10, pp.22, 2018, https://doi.org/10.3390/app10227996