Wind and Structures

  • 제34권5호
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  • Pages.437-450
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  • 2022
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  • 1226-6116(pISSN)
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  • 1598-6225(eISSN)
테크노프레스 (Techno-Press)
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Coupling effects of vortex-induced vibration for a square cylinder at various angles of attack

  • Zheng, Deqian (School of Civil Engineering, Henan University of Technology) ;
  • Ma, Wenyong (Innovation Center for Wind Engineering and Wind Energy Technology of Hebei Province) ;
  • Zhang, Xiaobin (School of Civil Engineering, Shijiazhuang Tiedao University) ;
  • Chen, Wei (School of Mechanical Engineering, Shijiazhuang Tiedao University) ;
  • Wu, Junhao (School of Civil Engineering, Henan University of Technology)
  • 투고 : 2021.08.27
  • 심사 : 2022.05.15
  • 발행 : 2022.05.25
⟨ 이전 논문 다음 논문 ⟩

초록

Vortex-induced vibration (VIV) is a significant concern when designing slender structures with square cross sections. VIV strongly depends on structural dynamics and flow states, which depend on the conditions of the approaching flow and shape of a structure. Therefore, the effects of the angle of attack on the coupling effects of VIV for a square cylinder are expected to be significant in practice. In this study, the aerodynamic forces for a fixed and elastically mounted square cylinder were measured using wind pressure tests. Aerodynamic forces on the stationary cylinder are firstly discussed by comparisons of variation of statistical aerodynamic force and wind pressure coefficient with wind angle of attack. The coupling effect between the aerodynamic forces and the motion of the oscillating square cylinder by VIV is subsequently investigated in detail at typical wind angels of attack with occurrence of three typical flow regimes, i.e., leading-edge separation, separation bubble (reattachment), and attached flow. The coupling effect are illustrated by discussing the onset of VIV, characteristics of aerodynamic forces during VIV, and interaction between motion and aerodynamic forces. The results demonstrate that flow states can be classified based on final separation points or the occurrence of reattachment. These states significantly influence coupling effects of the oscillating cylinder. Vibration enhances vortex shedding, which creates strong fluctuations in aerodynamic forces. However, differences in the lock-in range, aerodynamic force, and interaction process for angles of attack smaller and larger than the critical angle of attack revealed noteworthy characteristics in the VIV of a square cylinder.

키워드

과제정보

The authors gratefully acknowledge support from the Natural Science Foundation of Hebei Province (Grant No. E2021210053) and Young Backbone Teacher Cultivation Program of the Henan University of Technology.

참고문헌

  1. Blevins, R.D. (2001), Flow-Induced Vibration, (2nd Edition), Van Nostrand Reinhold, New York, USA.
  2. Chang, C.C. and Gu, M. (1999), "Suppression of vortex-excited vibration of tall buildings using tuned liquid dampers", J. Wind Eng. Ind. Aerod., 83(1), 225-237. https://doi.org/10.1016/S0167-6105(99)00074-4.
  3. Cui, Z., Zhao, M., Teng, B. and Cheng, L. (2015), "Two-dimensional numerical study of vortex-induced vibration and galloping of square and rectangular cylinders in steady flow", Ocean Eng., 106, 189-206. https://doi.org/10.1016/j.oceaneng.2015.07.004.
  4. Dorogi, D. and Baranyi, L. (2020), "Identification of upper branch for vortex-induced vibration of a circular cylinder at Re=300", J. Fluids Struct., 98, 103135. https://doi.org/10.1016/j.jfluidstructs.2020.103135.
  5. Govardhan, R. and Williamson, C.H.K. (2000), "Modes of vortex formation and frequency response for a freely vibrating cylinder", J. Fluid Mech., 420, 85-130 https://doi.org/10.1017/S0022112000001233.
  6. Govardhan, R. and Williamson, C.H.K. (2004), "Critical mass in vortex-induced vibration of a cylinder", Europ. J. Mech. B/Fluids, 23(1), 17-27. https://doi.org/10.1016/j.euromechflu.2003.04.001.
  7. Hsieh, S.C., Low, Y.M. and Chiew, Y.M. (2017), "Flow characteristics around a circular cylinder undergoing vortex-induced vibration in the initial branch", Ocean Eng., 129, 265-278. https://doi.org/10.1016/j.oceaneng.2016.11.019.
  8. Huang, D., Wu, T. and He, S. (2020), "Experimental investigation of vortex-induced aeroelastic effects on a square cylinder in uniform flow", Wind Struct., 30(1), 37-54. https://doi.org/10.12989/was.2020.30.1.037.
  9. Khalak, A. and Williamson, C.H.K. (1999), "Motions, forces and mode transitions in vortex-induced vibrations at low mass-damping", J. Fluids Struct., 13(7-8), 813-851 https://doi.org/10.1006/jfls.1999.0236.
  10. Konstantinidis, E., Zhao, J., Leontini, J., Lo Jacono, D. and Sheridan, J. (2020), "Phase dynamics of effective drag and lift components in vortex-induced vibration at low mass-damping", J. Fluids Struct., 96, 103028. https://doi.org/10.1016/j.jfluidstructs.2020.103028.
  11. Lin, S., Wang, Q., Nikitas, N. and Liao, H. (2019), "Effects of oscillation amplitude on motion-induced forces for 5:1 rectangular cylinders", J. Wind Eng. Ind. Aerod., 186, 68-93. https://doi.org/10.1016/j.jweia.2019.01.002.
  12. Miran, S. and Sohn, C.H. (2017), "Effect of rounded corners on two degree of freedom naturally oscillating square cylinder", Int. J. Numerical Methods Heat Fluid Flow, 27(10), 2355-2374 https://doi.org/10.1108/HFF-06-2016-0248.
  13. Modir, A., Kahrom, M. and Farshidianfar, A. (2016), "Mass ratio effect on vortex induced vibration of a flexibly mounted circular cylinder, an experimental study", Int. J. Marine Energy, 16, 1-11. https://doi.org/10.1016/j.ijome.2016.05.001.
  14. Modir, A., Mohammadkhani, A. and Ahani, H. (2021), "Experimental investigation of the flow-induced motion of a square-section cylinder", J. Hydrodynamics, 33(2), 301-310. https://doi.org/10.1007/s42241-021-0027-7.
  15. Nemes, A., Zhao, J., Lo Jacono, D. and Sheridan, J. (2012), "The interaction between flow-induced vibration mechanisms of a square cylinder with varying angles of attack", J. Fluid Mech., 710, 102-130. https://doi.org/10.1017/jfm.2012.353.
  16. Nikitas, N. and Macdonald, J. (2015), "Aerodynamic forcing characteristics of dry cable galloping at critical Reynolds numbers", Europ. J. Mech. - B/Fluids, 49, 243-249 https://doi.org/10.1016/j.euromechflu.2014.09.005.
  17. Nikitas, N., Macdonald, J., Jakobsen, J.B. and Andersen, T.L. (2012), "Critical reynolds number and galloping instabilities: Experiments on circular cylinders", Experiment. Fluids, 52(5), 1295-1306 https://doi.org/10.1007/s00348-011-1255-3.
  18. Oka, S. and Ishihara, T. (2009), "Numerical study of aerodynamic characteristics of a square prism in a uniform flow", J. Wind Eng. Ind. Aerod., 97(11-12), 548-559. https://doi.org/10.1016/j.jweia.2009.08.006.
  19. Paidoussis, M.P., Price, S.J. and Langre, E.D. (2011), Fluid-Structure Interactions Cross-Flow-Induced Instabilities, Cambridge University Press, 32 Avenue of the Americas, New York, NY 10013-2473, USA.
  20. Sen, S. and Mittal, S. (2015), "Effect of mass ratio on free vibrations of a square cylinder at low Reynolds numbers", J. Fluids Struct., 54, 661-678. https://doi.org/10.1016/j.jfluidstructs.2015.01.006.
  21. Shang, J.K., Smits, A.J. and Stone, H.A. (2013), "The appearance of P+S modes in the wake of a freely vibrating, highly flexible cylinder", J. Fluids Struct., 43(1), 481-486. https://doi.org/10.1016/j.jfluidstructs.2013.08.010.
  22. Sourav, K., Kumar, D. and Sen, S. (2020), "Vortex-induced vibrations of an elliptic cylinder of low mass ratio: Identification of new response branches", Phys. Fluids, 32(2), 023605 https://doi.org/10.1063/1.5141030.
  23. Tamura, T. and Miyagi, T. (1999), "The effect of turbulence on aerodynamic forces on a square cylinder with various corner shapes", J. Wind Eng. Ind. Aerod., 83(1-3), 135-145. https://doi.org/10.1016/S0167-6105(99)00067-7.
  24. Wang, L., Liu, W.B. and Dai, H.L. (2014), "Aeroelastic galloping response of square prisms: The role of time-delayed feedback", Int. J. Eng. Sci., 75, 79-84. https://doi.org/10.1016/j.ijengsci.2013.11.008.
  25. Williamson, C.H.K. and Roshko, A. (1988), "Vortex formation in the wake of an oscillating cylinder", J. Fluids Struct., 2(4), 355-381. https://doi.org/10.1016/S0889-9746(88)90058-8.
  26. Yen, S.C. and Yang, C.W. (2011), "Flow patterns and vortex shedding behavior behind a square cylinder", J. Wind Eng. Ind. Aerod., 99(8), 868-878. https://doi.org/10.1016/j.jweia.2011.06.006.
  27. Zhao, H. and Zhao, M. (2019), "Effect of rounded corners on flow-induced vibration of a square cylinder at a low Reynolds number of 200", Ocean Eng., 188, 102623 https://doi.org/10.1016/j.oceaneng.2019.106263.
  28. Zhao, J., Leontini, J., Lo Jacono, D. and Sheridan, J. (2019a), "The effect of mass ratio on the structural response of a freely vibrating square cylinder oriented at different angles of attack", J. Fluids Struct., 86, 200-212. https://doi.org/10.1016/j.jfluidstructs.2019.02.008.
  29. Zhao, J., Leontini, J.S., Lo Jacono, D. and Sheridan, J. (2014), "Fluid-structure interaction of a square cylinder at different angles of attack", J. Fluid Mech., 747, 688-721. https://doi.org/10.1017/jfm.2014.167.
  30. Zhao, J., Sheridan, J., Hourigan, K. and Thompson, M.C. (2019b), "Flow-induced vibration of a cube orientated at different incidence angles", J. Fluids Struct., 91(3), 102701 https://doi.org/10.1016/j.jfluidstructs.2019.102701.
  31. Zhao, M. (2020), "Effects of natural frequency ratio on vortex-induced vibration of a circular cylinder in steady flow", Phys. Fluids, 32(7), 073604. https://doi.org/10.1063/5.0011477.