Design formulas for vibration control of taut cables using passive MR dampers |
Duan, Yuanfeng
(College of Civil Engineering and Architecture, Zhejiang University)
Ni, Yi-Qing (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) Zhang, Hongmei (College of Civil Engineering and Architecture, Zhejiang University) Spencer, Billie.F. Jr. (Department of Civil and Environmental Engineering, The University of Illinois at Urbana-Champaign) Ko, Jan-Ming (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) Fang, Yi (College of Civil Engineering and Architecture, Zhejiang University) |
1 | Kim, I.H., Jung, H.J. and Koo J.H. (2010), "Experimental evaluation of a self-powered smart damping system in reducing vibrations of a full-scale stay cable", Smart Mater. Struct., 19(11), 11527. |
2 | Ko, J.M., Ni, Y.Q., Chen, Z.Q. and Spencer, Jr. B.F. (2003), "Implementation of MR dampers to Dongting Lake Bridge for cable vibration mitigation", In: Casciati F, editor. Proceedings of the 3rd World Conference on Structural Control, Chichester, England: John Wiley & Sons, 777-786. |
3 | Kovacs, I. (1982), "Zur Frage der seilschwingungen und der seildampfung", Die Bautechnik, 10, 325-332, (in German). |
4 | Krenk, S. (2004), "Complex modes and frequencies in damped structural vibrations", J. Sound Vib., 270(4-5), 981-996. https://doi.org/10.1016/S0022-460X(03)00768-5. DOI |
5 | Krenk, S. (2000), "Vibrations of a taut cable with an external damper", J. Appl. Mech. - ASME, 67(4), 772-776. doi:10.1115/1.1322037. DOI |
6 | Krenk, S. and Hogsberg, J.R. (2005), "Damping of cables by a transverse force", J. Eng. Mech. - ASCE, 131, 340-348. https://doi.org/10.1061/(ASCE)0733-9399(2005)131:4(340). DOI |
7 | Krenk, S. and Nielsen, S.R.K. (2002), "Vibrations of a shallow cable with a viscous damper", Proceedings of the Royal Society of London, Series A, 458, 339-357. https://doi.org/10.1098/rspa.2001.0879 DOI |
8 | 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). DOI |
9 | Lu, L. and Duan, Y.F., Spencer, B.F. Jr., Lu, X.L. and Zhou, Y. (2017), "Inertial mass damper for mitigating cable vibration", Structural Control Health Monit., 24, e1986, doi:10.1002/stc.1986. DOI |
10 | 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. |
11 | 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. DOI |
12 | 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. DOI |
13 | Main, J.A. and Jones, N.P. (2001), "Evaluation of viscous dampers for stay-cable vibration mitigation", J. Bridge Eng. - ASCE, 6(6), 385-397. https://doi.org/10.1061/(ASCE)1084-0702(2001)6:6(385). DOI |
14 | Main, J.A. and Jones, N.P. (2002a), "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). DOI |
15 | Main, J.A. and Jones, N.P. (2002b), "Free vibrations of taut cable with attached damper. II: Nonlinear damper", J. Eng. Mech. - ASCE, 128(10), 1072-1081. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:10(1072). DOI |
16 | 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. DOI |
17 | Matsumoto, M., Shiraishi, N. and Shirato, H. (1992), "Rain-wind induced vibration of cables of cable-stayed bridges", J. Wind Eng. Ind. Aerod., 41-44, 2011-22. https://doi.org/10.1016/0167-6105(92)90628-N. DOI |
18 | Miyata, T. (1991), "Design considerations for wind effects on long-span cable-stayed bridges", (Eds., Ito, M., Fujino, Y., Miyata, T., Narita, N.), Cable-Stayed Bridges: Recent Developments and their Future, Amsterdam: Elsevier, 235-256. |
19 | Ni, Y.Q., Chen, Y., Ko, J.M. and Cao, D.Q. (2002), "Neuro-control of cable vibration using semi-active magneto-rheological dampers", Eng. Struct., 24(3), 295-307. https://doi.org/10.1016/S0141-0296(01)00096-7. DOI |
20 | Or, S.W., Duan, Y.F., Ni, Y.Q., Chen, Z.H. and Lam, K.H. (2008), "Development of Magnetorheological dampers with embedded piezoelectric force sensors for structural vibration control", J. Intel. Mat. Syst. Str., 19 (11), 1327-1338. https://doi.org/10.1177/1045389X07085673. DOI |
21 | Ou, J.P. (2003), "Some recent advances of intelligent health monitoring systems for civil infrastructures in mainland China", (Eds., Wu, Z.S. and Abe, M.), Structural Health Monitoring and Intelligent Infrastructure, Netherlands: Balkema, 131-144. |
22 | Pacheco, B.M. and Fujino, Y. (1993), "Keeping cables calm", ASCE Civil Eng., 63(10), 56-58. |
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, 1961-1979. DOI |
24 | Spencer, Jr. B.F., Dyke, S.J., Sain, M.K. and Carlson, J.D. (1997), "Phenomenological model for magnetorheological dampers", J. Eng. Mech. - ASCE, 123(3), 230-238. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:3(230). DOI |
25 | 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, 1019-1926. |
26 | Poston, R.W. (1998), "Cable-stay conundrum", ASCE Civil Eng., 68(8), 58-61. |
27 | Powell, J.A. (1994), "Modeling the oscillatory response of an electrorheological fluid", Smart Mater. Struct., 3(4), 416-438. DOI |
28 | Sulekh, A. (1990), Non-Dimensionalized Curves for Modal Damping in Stay Cables with Viscous Dampers, Master thesis, Japan: Department of Civil Engineering, University of Tokyo. |
29 | Tanaka, H. (2003), "Aerodynamics of cables", Proceedings of the 5th International Symposium on Cable Dynamics. Belgium: AIM, 11-25. |
30 | Takano, H., Ogasawara, M., Ito, N., Shimosato, T., Takeda, K. and Murakami, T. (1997), "Vibrational damper for cables of the Tsurumi Tsubasa Bridge", J. Wind Eng. Ind. Aerod., 69-71, 807-818. https://doi.org/10.1016/S0167-6105(97)00207-9. DOI |
31 | 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. Rotterdam: Balkema, 255-263. |
32 | 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. DOI |
33 | Butz, T. and von Stryk, O. (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. DOI |
34 | 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. Rotterdam: Balkema, 213-233. |
35 | 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. DOI |
36 | Wang, Z.H, Xu, Y.W., Gao, H., Chen, Z.Q., Xu, K. and Zhao S.B. (2019), "Vibration control of a stay cable with a rotary electromagnetic inertial mass damper", Smart Struct. Syst., Accepted. |
37 | 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. DOI |
38 | Watson, S.C. and Stafford, D. (1988), "Cables in trouble", ASCE Civil Eng., 58(4), 138-141. |
39 | Weber, F., Bhowmik, S. and Hogsberg, J. (2014), "Extended neural network-based scheme for real-time force tracking with magnetorheological dampers", Struct. Control Health Monit., 21(2), 225-247. https://doi.org/10.1002/stc.1569. DOI |
40 | 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. https://doi.org/10.12989/sss.2015.16.6.1003. DOI |
41 | Huang, H.W., Sun, L.M and Jiang X.L. (2012), "Vibration mitigation of stay cable using optimally tuned MR damper", Smart Struct. Syst., 9(1), 35-53. http://dx.doi.org/10.12989/sss.2012.9.1.035. DOI |
42 | 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. DOI |
43 | Irwin, P.A. (1997), "Wind vibrations of cables on cable-stayed bridges", (Eds., Kempner, L. Jr., and Brown, C.B.), editors. Building to Last Structures Congress: Proceedings of the 15th Structures Congress, New York: American Society of Civil Engineers, 383-387. |
44 | Johnson, E.A., Baker, G.A., Spencer Jr. B.F. and Fujino, Y. (2007), "Semiactive damping of stay cables", J. Eng. Mech. - ASCE, 133, 1-11. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:1(1). DOI |
45 | 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. DOI |
46 | Chen, Z.H., Lam, K.H. and Ni, Y.Q. (2016), "Enhanced damping for bridge cables using a self-sensing MR damper", Smart Mater. Struct., 25(8), 085019. DOI |
47 | 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. DOI |
48 | Duan, Y.F. (2004), Vibration Control of Stay Cables Using Semiactive Magneto-rheological (MR) Dampers, PhD thesis, Hong Kong: Department of Civil and Structural Engineering, The Hong Kong Polytechnic University, Hong Kong. |
49 | 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, 431-449. https://doi.org/10.1111/j.1467-8667.2005.00396.x. DOI |
50 | Johnson, E.A., Christenson, R.E. and Spencer, Jr. B.F. (2003), "Semiactive damping of cables with sag", Comput. - Aided Civil Infrastruct. Eng., 18(2), 132-146. https://doi.org/10.1111/1467-8667.00305. DOI |
51 | Johnson, E.A., Spencer, Jr. B.F. and Fujino, Y. (1999), "Semiactive damping of stay cables: a preliminary study", Proceedings of the 17th International Modal Analysis Conference, Society for Experimental Mechanics, 417-423. |
52 | 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, 493-526. http://dx.doi.org/10.12989/sem.2004.17.3_4.493. DOI |
53 | Yamada, H. (1997), "Control of wind-induced cable vibrations from a viewpoint of the wind resistant design of cable-stayed bridges", Proceedings of International Seminar on Cable Dynamics. Tokyo: Japan Association for Wind Engineering, 129-138. |
54 | Weber, F., Distl, H. and Feltrin, G. (2009), "Cycle energy control of magnetorheological dampers on cables", Smart Mater. Struct., 18(1), 015005. DOI |
55 | Duan, Y.F., Ni, Y.Q., Zhang, H.M., Spencer, B.F., Jr., Ko, J.M. and Dong S.H. (2019), "Design formulas for vibration control of sagged cables using passive MR dampers", Smart Struct. Syst., Accepted. |
56 | Duan, Y.F., Tao, J.J., Zhang, H.M., Wang, S.M. and Yun C.B. (2018), "Real-time hybrid simulation based on vector form intrinsic finite element and field programmable gate array", Struct. Control Health Monit., 26(1), e2277;https://doi.org/10.1002/stc.2277. |
57 | 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. https://doi.org/10.12989/sss.2012.10.1.033. DOI |
58 | Hikami, Y. and Shiraishi, N. (1988), "Rain-wind induced vibrations of cables in cable stayed bridges", J. Wind Eng. Ind. Aerod., 29, 409-418. DOI |
59 | Wu, W.J. and Cai, C.S. (2010), "Cable vibration control with a semiactive MR damper-numerical simulation and experimental verification", Struct. Eng. Mech., 34(5), 611-623. https://doi.org/10.12989/sem.2010.34.5.611. DOI |
60 | Xu, Y.L. and Zhou, H.J. (2007), "Damping cable vibration for a cable-stayed bridge using adjustable fluid dampers", J. Sound Vib., 306(1-2), 349-360. https://doi.org/10.1016/j.jsv.2007.05.032 DOI |
61 | Yamaguchi, H. and Fujino, Y. (1998), "Stayed cable dynamics and its vibration control. In: Larsen A., Esdahl S, editors", Bridge aerodynamics: Proceedings of the International Symposium on Advances in Bridge Aerodynamics. Rotterdam: Balkema, 235-253. |
62 | Zhao, M. and Zhu, W.Q. (2011), "Stochastic optimal semi-active control of stay cables by using magneto-rheological damper", J. Vib. Control, 17(13), 1921-1929. https://doi.org/10.1177/1077546310371263. DOI |
63 | 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. |
64 | 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. DOI |
65 | Weber, F. and Boston, C. (2010), "Energy based optimization of viscous-friction dampers on cables", Smart Mater. Struct., 19(4), 045025. DOI |