Smart Structures and Systems

  • 제23권6호
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  • Pages.615-626
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  • 2019
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  • 1738-1584(pISSN)
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  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
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DOI QR Code

Performance evaluation of inerter-based damping devices for structural vibration control of stay cables

  • Huang, Zhiwen (Key Laboratory for Wind and Bridge Engineering of Hunan Province, College of Civil Engineering, Hunan University) ;
  • Hua, Xugang (Key Laboratory for Wind and Bridge Engineering of Hunan Province, College of Civil Engineering, Hunan University) ;
  • Chen, Zhengqing (Key Laboratory for Wind and Bridge Engineering of Hunan Province, College of Civil Engineering, Hunan University) ;
  • Niu, Huawei (Key Laboratory for Wind and Bridge Engineering of Hunan Province, College of Civil Engineering, Hunan University)
  • 투고 : 2017.04.21
  • 심사 : 2019.01.25
  • 발행 : 2019.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

Inerter-based damping devices (IBBDs), which consist of inerter, spring and viscous damper, have been extensively investigated in vehicle suspension systems and demonstrated to be more effective than the traditional control devices with spring and viscous damper only. In the present study, the control performance on cable vibration reduction was studied for four different inerter-based damping devices, namely the parallel-connected viscous mass damper (PVMD), series-connected viscous mass damper (SVMD), tuned inerter dampers (TID) and tuned viscous mass damper (TVMD). Firstly the mechanism of the ball screw inerter is introduced. Then the state-space formulation of the cable-TID system is derived as an example for the cable-IBBDs system. Based on the complex modal analysis, single-mode cable vibration control analysis is conducted for PVMD, SVMD, TID and TVMD, and their optimal parameters and the maximum attainable damping ratios of the cable/damper system are obtained for several specified damper locations and modes in combination by the Nelder-Mead simplex algorithm. Lastly, optimal design of PVMD is developed for multi-mode vibration control of cable, and the results of damping ratio analysis are validated through the forced vibration analysis in a case study by numerical simulation. The results show that all the four inerter-based damping devices significantly outperform the viscous damper for single-mode vibration control. In the case of multi-mode vibration control, PVMD can provide more damping to the first four modes of cable than the viscous damper does, and their maximum control forces under resonant frequency of harmonic forced vibration are nearly the same. The results of this study clearly demonstrate the effectiveness and advantages of PVMD in cable vibration control.

키워드

과제정보

연구 과제 주관 기관 : National Science Foundation of China

참고문헌

  1. Chen, L., Sun, L.M. and Nagarajaiah, S. (2015), "Cable with discrete negative stiffness device and viscous damper: Passive realization and general characteristics", Smart. Struct. Syst., 15(3), 627-643. http://dx.doi.org/10.12989/sss.2015.15.3.627.
  2. Chen, M.Z.Q., Hu, Y.L., Li, C.Y. and Chen, G.R. (2015), "Performance benefits of using inerter in semiactive suspensions", IEEE T. Contr. Syst. T, 23(4), 1571-1577. doi:10.1109/TCST.2014.2364954
  3. Chen, M.Z., Papageorgiou, C., Scheibe, F., Wang, F.C. and Smith, M.C. (2009), "The missing mechanical circuit element", IEEE Circuits Syst. Magazine, 9(1), 10-26. doi:10.1109/MCAS.2008.931738
  4. 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 cablestayed bridge", Wind Struct., 7(5), 293-304. https://doi.org/10.12989/was.2004.7.5.293
  5. Chen, Z.Q., Huang, Z.W. and Hua X.G. (2015), "Inerter-damperspring passive vibraiton control: its system reliazation with eddy-current mass dampers", Proceedings of the 14th World Conference on Seismic Isolation, Energy dissipation and active control of Structures, 9-11 September 2015, San Diego, USA.
  6. Duan, Y.F., Ni, Y.Q., Zhang, H.M., Spencer B.F. and Ko, J.M., (2019b) "Design formulas for vibration control of sagged cables using passive MR dampers", Smart Struct. Syst., Accepted.
  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., 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., e2277; https://doi.org/10.1002/stc.2277.
  9. 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.
  10. Duan, Y.F., Ni, Y.Q. and Ko, J.M. (2006), "Cable vibration control using magnetorheological dampers", J. Intel. Mat. Syst. Str., 17(4), 321-325. https://doi.org/10.1177/1045389X06054997
  11. Fournier, J.A. and Cheng, S.H. (2014), "Impact of damper stiffness and damper support stiffness on the efficiency of a linear viscous damper in controlling stay cable vibrations", J. Bridge Eng., 19(4), 12. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000562.
  12. 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)
  13. Hwang, J.S., Kim, J. and Kim, Y.M. (2007), "Rotational inertia dampers with toggle bracing for vibration control of a building structure", Eng. Struct., 29(6), 1201-1208. https://doi.org/10.1016/j.engstruct.2006.08.005.
  14. Ikago, K., Saito, K. and Inoue, N. (2012), "Seismic control of single-degree-of-freedom structure using tuned viscous mass damper", Earthq. Eng. Struct. D., 41(3), 453-474. https://doi.org/10.1002/eqe.1138.
  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. Krenk, S. (2000), "Vibrations of a taut cable with an external damper", J. Appl. Mech., 67(4), 772. https://doi.org/10.1115/1.1322037
  17. Krenk, S. and Hogsberg, J.R. (2005), "Damping of cables by a transverse force", J. Eng. Mech.-ASCE, 131(4), 340-348. https://doi.org/10.1061/(ASCE)0733-9399(2005)131:4(340).
  18. Lagarias, J.C., Reeds, J.A., Wright, M.H. and Wright, P.E. (1998), "Convergence properties of the nelder--mead simplex method in low dimensions", SIAM J. Optim., 9(1), 112-147. https://doi.org/10.1137/S1052623496303470.
  19. Lazar, I.F., Neild, S.A. and Wagg, D.J. (2014), "Using an inerterbased device for structural vibration suppression", Earthq. Eng. Struct. D., 43(8), 1129-1147. https://doi.org/10.1002/eqe.2390.
  20. Lazar, I.F., Neild, S.A. and Wagg, D.J. (2016), "Vibration suppression of cables using tuned inerter dampers", Eng. Struct., 122, 62-71. https://doi.org/10.1016/j.engstruct.2016.04.017.
  21. Li, H., Liu, M. and Ou, J.P. (2008), "Negative stiffness characteristics of active and semi-active control systems for stay cables", Struct. Control. Health Monit., 15(2), 120-142. https://doi.org/10.1002/stc.200.
  22. 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).
  23. Liu, M., Song, G.B. and Li, H. (2007), "Non-model-based semiactive vibration suppression of stay cables using magnetorheological fluid dampers", Smart Mater. Struct., 16(4), 1447-1452. https://doi.org/10.1088/0964-1726/16/4/059
  24. Lu, L., Duan, Y.F., Spencer, B.F. Jr., Lu, X. and Zhou, Y. (2017), "Inertial mass damper for mitigating cable vibration", Struct. Control. Health Monit., 24(10), https://doi.org/10.1002/stc.1986.
  25. Luo, J., Jiang, J.Z. and Macdonald, J.H.G. (2016), "Damping performance of taut cables with passive absorbers incorporating inerters", J. Physics: Conference Series, 744(1).
  26. Main, J.A. and Jones, N.P. (2002), "Free vibrations of taut cable with attached damper.I: Linear viscous damper", J. Eng. Mech., 128(10), 1062-1071. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:10(1062).
  27. Matsumoto, M., Shiraishi, N. and Shirato, H. (1992), "Rain-wind induced vibration of cables of cable-stayed bridges", J. Wind Eng. Ind. Aerodyn., 43(1), 2011-2022. https://doi.org/10.1016/0167-6105(92)90628-N
  28. Nakamura, Y., Fukukita, A., Tamura, K., Yamazaki, I., Matsuoka, T., Hiramoto, K. and Sunakoda, K. (2014), "Seismic response control using electromagnetic inertial mass dampers", Earthq. Eng. Struct. D., 43(4), 507-527. https://doi.org/10.1002/eqe.2355.
  29. 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.
  30. 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.
  31. Pasala, D.T.R., Sarlis, A.A., Reinhorn, A.M., Nagarajaiah, S., Constantinou, M.C. and Taylor, D. (2014), "Simulated bilinearelastic behavior in asdof elastic structure using negative stiffness device: Experimental and analytical study", J. Struct. Eng., 140(2), 04013049. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000830.
  32. Sarlis, A.A. (2013), "Negative stiffness device for seismic protection of structures", J. Struct. Eng., 139(7), 1124-1133. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000616.
  33. Shi, X. and Zhu, S. (2015), "Magnetic negative stiffness damper and its application to stay cables", Proceedings of the 11th international workshop on advanced smart materials and smart structures technology.
  34. Smith, M.C. (2002), "Synthesis of mechanical networks: The inerter", IEEE T. Autom. Control, 47(10), 1648-1662. doi:10.1109/TAC.2002.803532.
  35. Smith, M.C. and Wang, F.C. (2004), "Performance benefits in passive vehicle suspensions employing inerters", Vehicle Syst. Dyn., 42(4), 235-257. https://doi.org/10.1080/00423110412331289871.
  36. 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).
  37. Takewaki, I., Murakami, S., Yoshitomi, S. and Tsuji, M. (2012), "Fundamental mechanism of earthquake response reduction in building structures with inertial dampers", Struct. Control Health Monit., 19(6), 590-608. https://doi.org/10.1002/stc.457.
  38. Wang, F.C., Liao, M.K., Liao, B.H., Su, W.J. and Chan, H.A. (2009), "The performance improvements of train suspension systems with mechanical networks employing inerters", Vehicle Syst. Dyn., 47(7), 805-830. https://doi.org/10.1080/00423110802385951.
  39. 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.
  40. Weber, F. and Boston, C. (2011), "Clipped viscous damping with negative stiffness for semi-active cable damping", Smart Mater. Struct., 20(4), 13.
  41. Weber, F., Distl, H., Feltrin, G. and Motavalli, M. (2009), "Cycle energy control of magnetorheological dampers on cables", Smart Mater. Struct., 18(1), 16.
  42. Weber, F., Feltrin, G., Maslanka, M., Fobo, W. and Distl, H. (2009), "Design of viscous dampers targeting multiple cable modes", Eng. Struct., 31(31), 2797-2800. https://doi.org/10.1016/j.engstruct.2009.06.020.
  43. Xu, Y. L. and Yu, Z. (1998), "Vibration of inclined sag cables with oil dampers in cable-stayed bridges", J. Bridge Eng., 3(4), 194-203. https://doi.org/10.1061/(ASCE)1084-0702(1998)3:4(194).
  44. 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.
  45. 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.
  46. Zhou, P. and Li, H. (2016), "Modeling and control performance of a negative stiffness damper for suppressing stay cable vibrations", Struct. Control. Health Monit., 23(4), 764-782. https://doi.org/10.1002/stc.1809.

피인용 문헌

  1. Damping enhancement of the inerter on the viscous damper in mitigating cable vibrations vol.28, pp.1, 2019, https://doi.org/10.12989/sss.2021.28.1.089
  2. An inerter-system chain and energy-based optimal control of adjacent single-degree-of-freedom structures vol.28, pp.2, 2021, https://doi.org/10.12989/sss.2021.28.2.245