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Response of Two Unequal-Diameter Flexible Cylinders in A Side-by-Side Arrangement: Characteristics of FIV

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Abstract

Till now, little information is available on the flow-induced vibration (FIV) of multiple flexible cylinders with unequal diameters. Some FIV characteristics of unequal-diameter cylinders can be predicted based on the knowledge of equal-diameter cylinders, while there are still other features remaining unrevealed. In this paper, the FIV characteristics of two flexible cylinders with unequal diameters arranged side-by-side are experimentally investigated. The diameter ratio of the small cylinder (Small Cyl.) to the large cylinder (Large Cyl.) is nearly 0.5. The aspect ratios and mass ratios of the two flexible cylinders are 350/181 and 1.90/1.47, respectively. The centre-to-centre spacing ratio in the cross-flow (CF) direction is kept constant as 6.0 and the two cylinders can oscillate freely in both the CF and in-line (IL) directions. The towing velocity varies from 0.05 m/s to 1.00 m/s. The dominant modes and frequencies, CF and IL displacement amplitudes and response trajectories are discussed. Compared with the case of two identical cylinders in our previous study, the FIV responses demonstrate some similarities and differences. The similarities are as follows. Both cylinders exhibit multi-mode vibration features and they interact with each other. Meanwhile, the IL FIV shows a more complex behaviour than that in the CF direction. The difference is that as the diameter of one cylinder is increased, the effect on the smaller cylinder becomes more significant. For Large Cyl., the FIV response is similar to its isolated counterpart, which indicates that Small Cyl. has a negligible effect on the FIV of the larger one. Whereas Large Cyl. perplexes the FIV of Small Cyl. during the vibration process. The spacing would change when both cylinders are oscillating. Proximity interference between the two cylinders and wake shielding effect of the Large Cyl. may occur. The dominant frequencies of Small Cyl. are reduced and the wake-induced flutter of Small Cyl. is observed from the response trajectories at different measuring points.

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References

  • Alam, M.M., Moriya, M. and Sakamoto, H., 2003. Aerodynamic characteristics of two side-by-side circular cylinders and application of wavelet analysis on the switching phenomenon, Journal of Fluids and Structures, 18(3–4), 325–346.

    Article  Google Scholar 

  • Assi, G.R.S., 2009. Mechanisms for Flow-Induced Vibration of Interfering Bluff Bodies, Ph.D. Thesis, Imperial College London, London, UK.

    Google Scholar 

  • Assi, G.R.S., 2014. Wake-induced vibration of tandem and staggered cylinders with two degrees of freedom, Journal of Fluids and Structures, 50, 340–357.

    Article  Google Scholar 

  • Bearman, P.W., 2011. Circular cylinder wakes and vortex-induced vibrations, Journal of Fluids and Structures, 27(5–6), 648–658.

    Article  Google Scholar 

  • Dahl, J.M., Hover, F.S., Triantafyllou, M.S. and Oakley, O.H., 2010. Dual resonance in vortex-induced vibrations at subcritical and supercritical Reynolds numbers, Journal of Fluid Mechanics, 643, 395–424.

    Article  Google Scholar 

  • Gao, Y.Y., Yu, D.Y., Tan, S., Wang, X.K. and Hao, Z.Y., 2010. Experimental study on the near wake behind two side-by-side cylinders of unequal diameters, Fluid Dynamics Research, 42(5), 055509.

    Article  Google Scholar 

  • Han, Q.H., Ma, Y.X., Xu, W.H. and Zhang, S.H., 2018. An experimental study on the hydrodynamic features of two side-by-side flexible cylinders undergoing flow-induced vibrations in a uniform flow, Marine Structures, 61, 326–342.

    Article  Google Scholar 

  • Huera-Huarte, F.J. and Gharib, M., 2011. Flow-induced vibrations of a side-by-side arrangement of two flexible circular cylinders, Journal of Fluids and Structures, 27(3), 354–366.

    Article  Google Scholar 

  • Lam, K.M. and To, A.P., 2003. Interference effect of an upstream larger cylinder on the lock-in vibration of a flexiblye mounted circular cylinder, Journal of Fluids and Structures, 17(8), 1059–1078. DOI: https://doi.org/10.1016/j.jfluidstructs.2011.01.001.

    Article  Google Scholar 

  • Lee, P.Y.R., Lu, W.T., Chou, S.T. and Kuo, C.H., 2012. Lock-on characteristics behind two side-by-side cylinders of diameter ratio two at small gap ratio, Experiments in Fluids, 53(4), 891–908.

    Article  Google Scholar 

  • Lie, H. and Kaasen, K.E., 2006. Modal analysis of measurements from a large-scale VIV model test of a riser in linearly sheared flow, Journal of Fluids and Structures, 22(4), 557–575.

    Article  Google Scholar 

  • Ma, Y.X., Luan, Y.S. and Xu, W.H., 2020. Hydrodynamic features of three equally spaced, long flexible cylinders undergoing flow-induced vibration, European Journal of Mechanics-B/Fluids, 79, 386–400.

    Article  MathSciNet  Google Scholar 

  • Naudascher, E. and Rockwell, D., 1994. Flow-Induced Vibrations: An Engineering Guide, A A Balkema, Rotterdam.

    Google Scholar 

  • Prasanth, T.K. and Mittal, S., 2009. Vortex-induced vibration of two circular cylinders at low Reynolds number, Journal of Fluids and Structures, 25(4), 731–741.

    Article  Google Scholar 

  • Price, S.J., 1975. Wake induced flutter of power transmission conductors, Journal of Sound and Vibration, 38(1), 125–147.

    Article  Google Scholar 

  • Price, S.J. and Abdallah, R., 1990. On the efficacy of mechanical damping and frequency detuning in alleviating wake-induced flutter of overhead power conductors, Journal of Fluids and Structures, 4(1), 1–34.

    Article  Google Scholar 

  • Rahmanian, M., Cheng, L., Zhao, M. and Zhou, T.M., 2014a. Lock-in study of two side-by-side cylinders of different diameters in close proximity in steady flow, Journal of Fluids and Structures, 49, 386–411.

    Article  Google Scholar 

  • Rahmanian, M., Cheng, L., Zhao, M. and Zhou, T.M., 2014b. Vortex induced vibration and vortex shedding characteristics of two side-by-side circular cylinders of different diameters in close proximity in steady flow, Journal of Fluids and Structures, 48, 260–279.

    Article  Google Scholar 

  • Sanaati, B. and Kato, N., 2014. A study on the proximity interference and synchronization between two side-by-side flexible cylinders, Ocean Engineering, 85, 65–79.

    Article  Google Scholar 

  • Song, F.L., Tseng, S.Y., Hsu, S.W. and Kuo, C.H., 2015. Gap ratio effect on flow characteristics behind side-by-side cylinders of diameter ratio two, Experimental Thermal and Fluid Science, 66, 254–268.

    Article  Google Scholar 

  • Trim, A.D., Braaten, H., Lie, H. and Tognarelli, M.A., 2005. Experimental investigation of vortex-induced vibration of long marine risers, Journal of Fluids and Structures, 21(3), 335–361.

    Article  Google Scholar 

  • Wang, E.H., Xu, W.H., Yu, Y., Zhou, L.D. and Incecik, A., 2019. Flow-induced vibrations of three and four long flexible cylinders in tandem arrangement: an experimental study, Ocean Engineering, 178, 170–184.

    Article  Google Scholar 

  • Wang, Z.J. and Zhou, Y., 2005. Vortex interactions in a two side-by-side cylinder near-wake, International Journal of Heat and Fluid Flow, 26(3), 362–377.

    Article  Google Scholar 

  • Xu, W.H., Cheng, A.K., Ma, Y.X. and Gao, X.F., 2018a. Multi-mode flow-induced vibrations of two side-by-side slender flexible cylinders in a uniform flow, Marine Structures, 57, 219–236.

    Article  Google Scholar 

  • Xu, W.H., Ma, Y.X., Cheng, A.K. and Yuan, H., 2018b. Experimental investigation on multi-mode flow-induced vibrations of two long flexible cylinders in a tandem arrangement, International Journal of Mechanical Sciences, 135, 261–278.

    Article  Google Scholar 

  • Xu, W.H., Ji, C.N., Sun, H., Ding, W.J. and Bernitsas, M.M., 2019. Flow induced vibration of two elastically mounted tandem cylinders in cross-flow at subcritical Reynolds numbers, Ocean Engineering, 173, 375–387.

    Article  Google Scholar 

  • Xu, W.H., Qin, W.Q. and Yu, Y., 2020. Flow-induced vibration of two identical long flexible cylinders in a staggered arrangement, International Journal of Mechanical Sciences, 180, 105637.

    Article  Google Scholar 

  • Xu, W.H., Zhang, S.H., Liu, B., Wang, E.H. and Bai, Y., 2018c. An experimental study on flow-induced vibration of three and four side-by-side long flexible cylinders, Ocean Engineering, 169, 492–510.

    Article  Google Scholar 

  • Yokoi, Y. and Hirao, K., 2009. Vortex shedding and vortex formation from a pair of in-line forced oscillating parallel arranged two circular cylinders, Journal of Fluid Science and Technology, 4(2), 401–414.

    Article  Google Scholar 

  • Zdravkovich, M.M., 1987. The effects of interference between circular cylinders in cross flow, Journal of Fluids and Structures, 1(2), 239–261.

    Article  Google Scholar 

  • Zhao, M., Cheng, L., Teng, B. and Dong, B., 2007. Hydrodynamic forces on dual cylinders of different diameters in steady currents, Journal of Fluids and Structures, 23(1), 59–83.

    Article  Google Scholar 

  • Zhou, Y. and Alam, M.M., 2016. Wake of two interacting circular cylinders: A review, International Journal of Heat and Fluid Flow, 62, 510–537.

    Article  Google Scholar 

  • Zhou, Y., Wang, Z.J., So, R.M.C., Xu, S.J. and Jin, W., 2001. Free vibrations of two side-by-side cylinders in a cross-flow, Journal of Fluid Mechanics, 443, 197–229.

    Article  Google Scholar 

  • Zhu, H.J., Gao, Y. and Zhao, H.L., 2019. Coupling vibration response of a curved flexible riser under the combination of internal slug flow and external shear current, Journal of Fluids and Structures, 91, 102724.

    Article  Google Scholar 

  • Zhu, H.J., Li, G.M. and Wang, J.L., 2020. Flow-induced vibration of a circular cylinder with splitter plates placed upstream and downstream individually and simultaneously, Applied Ocean Research, 97, 102084.

    Article  Google Scholar 

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Correspondence to En-hao Wang.

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Foundation item: This research work was financially supported by the National Natural Science Foundation of China (Grant Nos. 51679167, 51979193 and 51909189)..

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Xu, Wh., Zhang, Qn., Ma, Wc. et al. Response of Two Unequal-Diameter Flexible Cylinders in A Side-by-Side Arrangement: Characteristics of FIV. China Ocean Eng 34, 475–487 (2020). https://doi.org/10.1007/s13344-020-0043-3

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  • DOI: https://doi.org/10.1007/s13344-020-0043-3

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