DOI QR코드

DOI QR Code

Development of a full-scale magnetorheological damper model for open-loop cable vibration control

  • Zhang, Ru (Department of Civil Engineering, Zhejiang University City College) ;
  • Ni, Yi-Qing (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) ;
  • Duan, Yuanfeng (College of Civil Engineering and Architecture, Zhejiang University) ;
  • Ko, Jan-Ming (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University)
  • 투고 : 2018.09.25
  • 심사 : 2019.01.17
  • 발행 : 2019.06.25

초록

Modeling of magnetorheological (MR) dampers for cable vibration control to facilitate the design of even more effective and economical systems is still a challenging task. In this study, a parameter-adaptive three-element model is first established for a full-scale MR damper based on laboratory tests. The parameters of the model are represented by a set of empirical formulae in terms of displacement amplitude, voltage input, and excitation frequency. The model is then incorporated into the governing equation of cable-damper system for investigation of open-loop vibration control of stay cables in a cable-stayed bridge. The concept of optimal voltage/current input achieving the maximum damping for the system is put forward and verified. Multi-mode suboptimal and Single-mode optimal open-loop control method is then developed. Important conclusions are drawn on application issues and unique characteristics of open-loop cable vibration control using MR dampers.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China, Ministry of Science and Technology of China, Council of the Hong Kong Special Administrative Region, The Hong Kong Polytechnic University

참고문헌

  1. Butz, T. and Stryk, O.V. (2002), "Modelling and simulation of electro- and magnetorheological fluid dampers", ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik, 82(1), 3-20. https://doi.org/10.1002/1521-4001(200201)82:1<3::AIDZAMM3>3.0.CO;2-O.
  2. Carlson, J.D. and Spencer, B.F., Jr. (1996), "Magneto-rheological fluid dampers for semi-active seismic control", Proceedings of the 3rd International Conference on Motion and Vibration Control, Chiba, Japan, September.
  3. Chen, Z.Q., Wang, X.Y., Ko, J.M., Ni, Y.Q., Spencer, B.F., Jr., 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. http://dx.doi.org/10.12989/was.2004.7.5.293.
  4. Duan, Y.F. (2004), Vibration Control of Stay Cables Using Semiactive Magneto-rheological (MR) Dampers, Ph.D. Dissertation, The Hong Kong Polytechnic University, Hong Kong.
  5. Duan, Y.F., Ni, Y.Q. and Ko, J.M. (2005), "State-derivative feedback control of cable vibration using semiactive magnetorheological dampers", Comput.-Aided Civil Infrastruct. Eng., 20(6), 431-449. https://doi.org/10.1111/j.1467-8667.2005.00396.x.
  6. Duan, Y.F., Ni, Y.Q. and Ko, J.M. (2006), "Cable vibration control using Magneto-rheological (MR) dampers", J. Intel. Mat. Syst. Str., 17(4), 321-325. https://doi.org/10.1142/9789812702197_0121.
  7. Duan, Y.F., Ni, Y.Q., Zhang, H.M., Spencer, B.F., Jr. and Ko, J.M. (2019a), "Design formulas for vibration control of taut cables using passive MR dampers", Smart Struct. Syst., Accepted.
  8. Duan, Y.F., Ni, Y.Q., Zhang, H.M., Spencer, B.F., Jr. and Ko, J.M. (2019b), "Design formulas for vibration control of sagged cables using passive MR dampers", Smart Struct. Syst., Accepted.
  9. Guan, X.C., Huang Y., Li, H. and Ou, J.P. (2012), "Adaptive MR damper cable control system based on piezoelectric power harvesting", Smart Struct. Syst., 10(1), 33-46. http://dx.doi.org/10.12989/sss.2012.10.1.033.
  10. Hikami, Y. and Shiraishi, N. (1988), "Rain-wind induced vibrations of cables in cable stayed bridges", J. Wind Eng. Ind. Aerod., 29, 409-418. https://doi.org/10.1016/0167-6105(88)90179-1
  11. Huang, H.W., Liu, J.Y. and Sun, L.M. (2015), "Full-scale experimental verification on the vibration control of stay cable using optimally tuned MR damper", Smart Struct. Syst., 16(6), 1003-1021. http://dx.doi.org/10.12989/sss.2015.16.6.1003.
  12. Huang, Z.H. and Jones N.P. (2011), "Damping of taut-cable systems: effects of linear elastic spring support", J. Eng. Mech., 137(7), 512-518. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000252.
  13. Irvine, H.M., and Caughey, T.K. (1974), "The linear theory of free vibrations of a suspended cable", Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 341(1626), 299-315. https://doi.org/10.1098/rspa.1974.0189.
  14. Jing, H.Q., Xia, Y., Xu, Y.L. and Li, Y.L. (2016), "Measurement of rivulet movement and thickness on inclined cable using videogrammetry", Smart Struct. Syst., 18(3), 485-500. https://doi.org/10.12989/sss.2016.18.3.485
  15. Johnson, E.A., Baker, G.A., Spencer, B.F., Jr. and Fujino, Y. (2007), "Semiactive damping of stay cables", J. Eng. Mech. - ASCE, 133(1), 1-11. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:1(1).
  16. Jung, H.J., Spencer, Jr. B.F., Ni, Y.Q. and Lee, I.W. (2004), "Stateof-the-art of semiactive control systems using MR fluid dampers in civil engineering applications", Struct. Eng. Mech., 17(3), 493-526. http://dx.doi.org/10.12989/sem.2004.17.3_4.493.
  17. Kazakov, Y. B., Morozov, N. A. and Nesterov, S.A. (2016), "Development of models of the magnetorheological fluid damper", J. Magn. Magn. Mater., 431, 269-272. https://doi.org/10.1016/j.jmmm.2016.10.006.
  18. Ko, J.M., Ni, Y.Q., Chen, Z.Q. and Spencer, Jr. B.F. (2002), "Implementation of MR dampers to Dongting Lake Bridge for cable vibration mitigation", (Ed., Casciati, F.), Proceedings of the 3rd World Conference on Structural Control, Como, Italy, April.
  19. Ko, J.M., Zheng, G., Chen, Z.Q. and Ni, Y.Q. (2002). "Field vibration tests of bridge stay cables incorporated with magnetorheological (MR) dampers", Smart Structures and Materials 2002: Smart Systems for Bridges, Structures, and Highways, (Eds., S.C. Liu and D.J. Pines), SPIE 4696, 30-40.
  20. Li, H., Liu, M., Li, J.H., Guan, X.C. and Ou, J.P. (2007), "Vibration control of stay cables of the Shandong Binzhou Yellow River Highway Bridge using magnetorheological fluid dampers", J. Bridge Eng., 12(4), 401-409. https://doi.org/10.1061/(ASCE)1084-0702(2007)12:4(401).
  21. 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.
  22. Ni, Y.Q., Wang, X.Y., Chen, Z.Q. and Ko, J.M. (2007), "Field observations of rain-wind-induced cable vibration in cablestayed Dongting Lake Bridge", J. Wind Eng. Ind. Aerod., 95(5), 303-328. https://doi.org/10.1016/j.jweia.2006.07.001.
  23. 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), 1961-1979. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:6(1961).
  24. Persoon, A.J. and Noorlander, K. (1999), "Full-scale measurements on the Erasmus Bridge after rain/wind induced cable vibrations", (Eds., Larsen, A., Larose, G.L. and Livesey, F.M.), Wind Engineering into the 21st Century. Rotterdam: Balkema, the Netherlands, June.
  25. Poston, R.W. (1998), "Cable-stay conundrum", ASCE Civil Eng., 68(8), 58-61.
  26. Powell, J.A. (1994), "Modeling the oscillatory response of an electrorheological fluid", Smart Mater. Struct., 3(4), 416-438. https://doi.org/10.1088/0964-1726/3/4/005
  27. Sun, L.M., Hong, D.X. and Chen, L. (2017), "Cables interconnected with tuned inerter damper for vibration mitigation", Eng. Struct., 151, 57-67. https://doi.org/10.1016/j.engstruct.2017.08.009.
  28. Tanaka, H. (2003), "Aerodynamics of cables", In: Proceedings of the 5th International Symposium on Cable Dynamics, Santa Margherita Ligure, Italy, September.
  29. Verwiebe, C. (1998), "Rain-wind-induced vibrations of cables and bars", (Eds., Larsen, A. and Esdahl, S.), Bridge Aerodynamics: Proceedings of the International Symposium on Advances in Bridge Aerodynamics. Copenhagen, Denmark, May.
  30. Virlogeux, M. (1998), "Cable vibrations in cable-stayed bridges", (Eds., Larsen A. and Esdahl S.), Bridge aerodynamics: Proceedings of the International Symposium on Advances in Bridge Aerodynamics, Copenhagen, Denmark, May.
  31. Wang, X.Y., Ni, Y.Q., Ko, J.M. and Chen, Z.Q. (2005), "Optimal design of viscous dampers for multi-mode vibration control of bridge cables", Eng. Struct., 27(5), 792-800. https://doi.org/10.1016/j.engstruct.2004.12.013
  32. Wang, Z.H., Chen, Z.H., Gao, H. and Wang, H. (2018), "Development of a self-powered magnetorheological damper system for cable vibration control", Appl. Sci. Basel, 8(1), 118. https://doi.org/10.3390/app8010118.
  33. Wang, W., Hua, X. and Wang X. (2019), "Mechanical behavior of magnetorheological dampers after long-term operation in a cable vibration control system", Struct. Control Health Monit., 26(1), e2280. https://doi.org/10.1002/stc.2280.
  34. Weber, F. and Boston, C. (2010), "Energy based optimization of viscous-friction dampers on cables", Smart Mater. Struct., 19(4), 045025. https://doi.org/10.1088/0964-1726/19/4/045025
  35. Zhou, H.J., Huang X.J., Xiang N., He J.W., Sun, L.M. and Xing, F. (2018), "Free vibration of a taut cable with a damper and a concentrated mass", Struct. Control Health Monit., 25(11), 1-21. https://doi.org/10.1002/stc.2251.
  36. Zhou, H.J., Xiang, N. and Huang, X. (2018), "Full-scale test of dampers for stay cable vibration mitigation and improvement measures", Struct. Monit. Maint., 5(4), 489-506. https://doi.org/10.12989/smm.2018.5.4.489.
  37. Zhou, H.J. and Sun, L.M. (2013), "Damping of stay cable with passive-on magnetorheological dampers: a full-scale test", Int. J. Civil Eng., 11(3), 154-159.
  38. Zhou, H.J., Sun, L.M. and Xing, F. (2014), "Damping of full-scale stay cable with viscous damper: experiment and analysis", Adv. Struct. Eng., 17(2), 265-274. https://doi.org/10.1260/1369-4332.17.2.265.

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