Wind and Structures

  • 제23권6호
  • /
  • Pages.615-639
  • /
  • 2016
  • /
  • 1226-6116(pISSN)
  • /
  • 1598-6225(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Numerical study on the mitigation of rain-wind induced vibrations of stay cables with dampers

  • Li, Shouying (Hunan Provincial Key Laboratory of Wind Engineering and Bridge Engineering, Hunan University) ;
  • Wu, Teng (Department of Civil, Structural and Environmental Engineering, University at Buffalo, State University of New York) ;
  • Li, Shouke (School of Civil Engineering, Hunan University of Science and Technology) ;
  • Gu, Ming (State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University)
  • 투고 : 2015.04.21
  • 심사 : 2016.07.03
  • 발행 : 2016.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

Although the underlying mechanism of rain-wind induced vibrations (RWIVs) of stay cables has not been fully understood, some countermeasures have been successfully applied to mitigating this kind of vibration. Among these, installing dampers near the bridge deck was widely adopted, and several field observations have shown its effectiveness. In this study, the effectiveness of dampers to RWIVs of stay cables is numerically investigated comprehensively by means of finite difference method (FDM). Based on the free vibration analysis of a taut string, it is found that the 3-points triangle scheme, which can be easily implemented in FDM, can offer an excellent approximation of the concentrated damping coefficient (expressed as a Dirac delta function) at the location where the damper is installed. Then, free vibration analysis of a 3-D continuous stay cable attached with two dampers is carried out to study the relationship of modal damping ratio and damping coefficient of the dampers. The effects of orientation of the dampers and cable sag on the modal damping ratio are investigated in detail. Finally, the RWIV response of a 3-D continuous stay cable attached with two dampers is examined. The results indicate that 0.5% of damping ratio is sufficient to reduce the RWIV vibration of the Cable A20 on the No.2 Nanjing Bridge over Yangtze River.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation, China Postdoctoral Science Foundation

참고문헌

  1. Bosdogianni, A. and Olivari, D. (1996), "Wind- and rain-induced oscillations of cables of stayed bridges", J. Wind Eng. Ind. Aerod., 64(2-3), 171-185. https://doi.org/10.1016/S0167-6105(96)00089-X
  2. Cao, D.Q., Tucker, R.W. and Wang, C. (2003), "A stochastic approach to cable dynamics with moving rivulets", J. Sound Vib., 268(2), 291-304. https://doi.org/10.1016/S0022-460X(03)00205-0
  3. Chen, Z.Q., Wang, X.Y., Ko, J.M., Ni, Y.Q., Yang, G. and Hu, J.H. (2004), "MR damping system for mitigating wind-rain induced vibration on Dongting Lake cable-stayed bridge", Wind Struct., 7(5), 293-304. https://doi.org/10.12989/was.2004.7.5.293
  4. Cheng, S.H., Irwin, P.A. and Tanaka, H. (2008b), "Experimental study on the wind-induced vibration of a dry inclined cable-Part II: Proposed Mechanisms", J. Wind Eng. Ind. Aerod., 96(12), 2254-2272. https://doi.org/10.1016/j.jweia.2008.01.007
  5. Cheng, S.H., Larose, G.L., Savage, M.G., Tanaka, H. and Irwin, P.A. (2008a), "Experimental study on the wind-induced vibration of a dry inclined cable-Part I: Phenomena", J. Wind Eng. Ind. Aerod., 96(12), 2231-2253. https://doi.org/10.1016/j.jweia.2008.01.008
  6. Cosentino, N., Flamand, O. and Ceccoli, C. (2003), "Rain-wind induced vibration of inclined stay cables. Part II: Mechanical modeling and parameter characterization", Wind Struct., 6(6), 485-498. https://doi.org/10.12989/was.2003.6.6.485
  7. Du, X.Q., Gu, M. and Chen, S.R. (2013), "Aerodynamic characteristics of an inclined and yawed circular cylinder with artificial rivulet", J. Fluid. Struct., 43, 64-82. https://doi.org/10.1016/j.jfluidstructs.2013.08.002
  8. Flamand, O. (1995), "Rain-wind induced vibration of cables", J. Wind Eng. Ind. Aerod., 57(2-3), 353-362. https://doi.org/10.1016/0167-6105(94)00113-R
  9. Fujino, Y. and Hoang, N. (2008), "Design formulas for damping of a stay cable with a damper", J. Struct. Eng.- ASCE, 134(2), 269-278. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:2(269)
  10. Gu, M. (2009), "On wind-rain induced vibration of cables of cable-stayed bridges based on quasi-steady assumption", J. Wind Eng. Ind. Aerod., 97(7-8), 381-391. https://doi.org/10.1016/j.jweia.2009.05.004
  11. Gu, M. and Du, X. Q. (2005), "Experimental investigation of rain-wind-induced vibration of cables in cable-stayed bridges and its mitigation", J. Wind Eng. Ind. Aerod., 93(1), 79-95. https://doi.org/10.1016/j.jweia.2004.09.003
  12. Gu, M. and Lu, Q. (2001), "Theoretical analysis of wind-rain induced vibration of cables of cable-stayed bridges", Proceedings of the 5th Asia-Pacific Conf. on Wind Engineering, Japan Association for Wind Engineering, Kyoto, Japan.
  13. Gu, M., Du, X.Q. and Li, S.Y. (2009), "Experimental and theoretical simulations on wind-rain-induced vibration of 3-D rigid stay cables", J. Sound Vib., 320(1-2), 184-200. https://doi.org/10.1016/j.jsv.2008.07.009
  14. Hikami, Y. and Shiraishi, N. (1988), "Rain-wind induced vibrations of cables in cable stayed bridges", J. Wind Eng. Ind. Aerod., 29(1-3), 409-418. https://doi.org/10.1016/0167-6105(88)90179-1
  15. Krenk, S. (2000), "Vibrations of a taut cable with an external damper", J. Appl. Mech. -T ASME, 67, 772-776. https://doi.org/10.1115/1.1322037
  16. Li, F.C., Chen, W. L., Li, H. and Zhang, R. (2010), "An ultrasonic transmission thickness measurement system for study of water rivulets characteristics of stay cables suffering from wind-rain-induced vibration", Sensor. Actuat. - A Phys., 159(1), 12-23. https://doi.org/10.1016/j.sna.2010.01.036
  17. Li, S.Y. and Gu, M. (2006), "Numerical simulations of flow around stay cables with and without fixed artificial rivulets", Proceedings of the 4th International Symposium on Computational Wind Engineering (CWE2006), Yokohama, Japan.
  18. Li, S.Y., Chen, Z.Q., and Li, S.K. (2014), "Theoretical investigation on rain-wind induced vibration of a continuous stay cable with given rivulet motion", Wind Struct., 19(5), 481-503. https://doi.org/10.12989/was.2014.19.5.481
  19. Li, S.Y., Chen, Z.Q., Wu, T. and Kareem, A. (2013), "Rain-wind induced in-plane and out-of-plane vibrations of stay cables", J. Eng. Mech. - ASCE, 139(12), 1688-1698. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000612
  20. Main, J.A. and Jones, N.P. (2002), "Free vibrations of taut cable with attached damper I: Linear viscous damper", J. Eng. Mech. - ASCE, 128(10), 1062-1071. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:10(1062)
  21. Main, J.A. and Jones, N.P. (2007), "Vibration of tensioned beams with intermediate viscous damper II: Damper near a support", J. Eng. Mech.- ASCE, 133(4), 379-388. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:4(379)
  22. Matsumoto, M., Saitoh, T., Kitazawa, M., Shirato, H. and Nishizaki, T. (1995), "Response characteristics of rain-wind induced vibration of stay-cables of cable-stayed bridges", J. Wind Eng. Ind. Aerod., 57(2-3), 323-333. https://doi.org/10.1016/0167-6105(95)00010-O
  23. Matsumoto, M., Shirato, H., Yagi, T., Goto, M., Sakai, S. and Ohya, J. (2003), "Field observation of the full-scale wind induced cable vibration", J. Wind Eng. Ind. Aerod., 91(1-2), 13-26. https://doi.org/10.1016/S0167-6105(02)00332-X
  24. Matsumoto, M., Yagi, T., Shigemura, Y. and Tsushima, D. (2001), "Vortex-induced cable vibration of cable-stayed bridges at high reduced wind velocity", J. Wind Eng. Ind. Aerod., 89(7-8), 633-647. https://doi.org/10.1016/S0167-6105(01)00063-0
  25. Pacheco, B.M., Fujino, Y. and Sulekh, A. (1993), "Estimation curve for modal damping in stay cables with viscous damper", J. Struct. Eng.- ASCE, 119(6), 1061-1079.
  26. Peil, U. and Nahrath, N. (2003), "Modeling of rain-wind induced vibrations", Wind Struct., 6(1), 41-52. https://doi.org/10.12989/was.2003.6.1.041
  27. Phelan, R.S., Sarkar, P.P. and Mehta, K.C. (2006), "Full-scale Measurements to investigate rain-wind induced cable-stay vibration and its mitigation", J. Bridge Eng., 11(3), 293-304. https://doi.org/10.1061/(ASCE)1084-0702(2006)11:3(293)
  28. Robertson, A.C., Taylor, I.J., Wilson, S.K., Duffy, B.R. and Sullivan, J.M. (2010), "Numerical simulation of rivulet evolution on a horizontal cable subject to an external aerodynamic field", J. Fluid. Struct., 26, 50-73. https://doi.org/10.1016/j.jfluidstructs.2009.09.003
  29. Tabatabai, H. and Mehrabi, A.B. (2000), "Design of mechanical viscous dampers for stay cables", J. Bridge Eng., 5(2), 114-123. https://doi.org/10.1061/(ASCE)1084-0702(2000)5:2(114)
  30. Tikhonov, A.N. and Samarskii, A.A. (1963), "Equations of mathematical physics", Dover Publications, INC., New York.
  31. van der Burgh, A.H.P. and Hartono (2004), "Rain-wind-induced vibrations of a simple oscillator", Int. J. Nonlinear Mech., 39(1), 93-100. https://doi.org/10.1016/S0020-7462(02)00140-3
  32. Virlogeux, M. (1998), "Cable vibrations in cable-stayed bridges", In Bridge Aerodynamics, Balkema, Rotterdam, 213-233.
  33. Wang, Z.J., Zhou Y., Huang, J.F. and Xu Y.L. (2005), "Fluid dynamics around an inclined cylinder with running water rivulets", J. Fluid. Struct., 21, 49-64. https://doi.org/10.1016/j.jfluidstructs.2005.05.017
  34. Wilde, K. and Witkowski, W. (2003), "Simple model of rain-wind-induced vibrations of stayed cables", J. Wind Eng. Ind. Aerod., 91, 873-891. https://doi.org/10.1016/S0167-6105(03)00020-5
  35. Wu, T., Kareem, A. and Li, S.Y. (2013), "On the excitation mechanisms of rain-wind induced vibration of cables: Unsteady and hysteretic nonlinear features", J. Wind Eng. Ind. Aerod., 122, 83-95. https://doi.org/10.1016/j.jweia.2013.06.001
  36. Xu, Y.L. and Wang, L.Y. (2003), "Analytical study of wind-rain-induced cable vibration: SDOF model", J. Wind Eng. Ind. Aerod., 91(1-2), 27-40. https://doi.org/10.1016/S0167-6105(02)00333-1
  37. Xu, Y.L. and Yu, Z. (1998), "Mitigation of three-dimensional vibration of inclined sag cable using discrete oil dampers - II. Application", J. Sound Vib., 214(4), 675-693. https://doi.org/10.1006/jsvi.1998.1630
  38. Yamaguchi, H. (1990), "Analytical study on growth mechanism of rain vibration of cables", J. Wind Eng. Ind. Aerod., 33(1-2), 73-80. https://doi.org/10.1016/0167-6105(90)90022-5
  39. Yamaguchi, H. and Fujino, Y. (1998), "Stayed cable dynamics and its vibration control", In Bridge Aerodynamics, Balkema, Rotterdam, 235-253.
  40. Yu, Z. and Xu, Y.L. (1998), "Mitigation of three-dimensional vibration of inclined sag cable using discrete oil dampers - I. Formulation", J. Sound Vib., 214(4), 659-673. https://doi.org/10.1006/jsvi.1998.1609
  41. Zuo, D., Jones, N.P. and Main, J.A. (2008), "Field observation of vortex- and rain-wind-induced stay-cable vibrations in a three-dimensional environment", J. Wind Eng. Ind. Aerod., 96(6-7), 1124-1133. https://doi.org/10.1016/j.jweia.2007.06.046

피인용 문헌

  1. On the aerodynamic characteristics of stay cables attached with helical wires 2017, https://doi.org/10.1177/1369433217739707
  2. Numerical framework for stress cycle assessment of cables under vortex shedding excitations vol.28, pp.4, 2016, https://doi.org/10.12989/was.2019.28.4.225
  3. Wind tunnel study of wake-induced aerodynamics of parallel stay-cables and power conductor cables in a yawed flow vol.30, pp.6, 2020, https://doi.org/10.12989/was.2020.30.6.617