DOI QR코드

DOI QR Code

Multi-mode cable vibration control using MR damper based on nonlinear modeling

  • Huang, H.W. (State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University) ;
  • Liu, T.T. (Hunan Provincial Communications Planning, Survey & Design Institute Co., Ltd.) ;
  • Sun, L.M. (State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University)
  • 투고 : 2016.07.12
  • 심사 : 2019.01.25
  • 발행 : 2019.06.25

초록

One of the most effective countermeasures for mitigating cable vibration is to install mechanical dampers near the anchorage of the cable. Most of the dampers used in the field are so-called passive dampers where their parameters cannot be changed once designed. The parameters of passive dampers are usually determined based on the optimal damper force obtained from the universal design curve for linear dampers, which will provide a maximum additional damping for the cable. As the optimal damper force is chosen based on a predetermined principal vibration mode, passive dampers will be most effective if cable undergoes single-mode vibration where the vibration mode is the same as the principal mode used in the design. However, in the actual engineering practice, multi-mode vibrations are often observed for cables. Therefore, it is desirable to have dampers that can suppress different modes of cable vibrations simultaneously. In this paper, MR dampers are proposed for controlling multi-mode cable vibrations, because of its ability to change parameters and its adaptability of active control without inquiring large power resources. Although the highly nonlinear feature of the MR material leads to a relatively complex representation of its mathematical model, effective control strategies can still be derived for suppressing multi-mode cable vibrations based on nonlinear modelling, as proposed in this paper. Firstly, the nonlinear Bouc-wen model is employed to accurately portray the salient characteristics of the MR damper. Then, the desired optimal damper force is determined from the universal design curve of friction dampers. Finally, the input voltage (current) of MR damper corresponding to the desired optimal damper force is calculated from the nonlinear Bouc-wen model of the damper using a piecewise linear interpolation scheme. Numerical simulations are carried out to validate the effectiveness of the proposed control algorithm for mitigating multi-mode cable vibrations induced by different external excitations.

키워드

과제정보

연구 과제 주관 기관 : Ministry of Science and Technology of China

참고문헌

  1. 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.
  2. Duan, Y.F., Ni, Y.Q. and Ko, J.M. (2005), "State-derivative feedback control of cable vibration using semi-active MR dampers", Comput.-Aided Civil Infrastruct. Eng., 20(6), 431-449. https://doi.org/10.1111/j.1467-8667.2005.00396.x.
  3. Duan, Y.F., Ni, Y.Q. and Ko, J.M. (2006), "Cable vibration control using Magneto-rheological (MR) dampers", J. Intel. Mat. Syst. Struct., 17(4), 321-325. https://doi.org/10.1142/9789812702197_0121.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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), 1-11. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:1(1).
  10. Krenk, S. (2000), "Vibration of a taut cable with an external damper", J. Appl. Mech. -T ASME, 67(4), 772-776. doi:10.1115/1.1322037.
  11. Liu, J.Y., Huang, H.W. and Sun, L.M. (2013), "Simulation study of semi-active control of stay cable using MR damper under wind loads", Proc. of SPIE: Smart Structures and Materials & NDE and Health Monitoring 2013, San Diego, California, USA.
  12. Lu, L., Duan, Y.F., Spencer, B.F. Jr., Lu, X.L. and Zhou, Y. (2017), "Inertial mass damper for mitigating cable vibration", Struct. Control Health Monit., 24, e1986, doi: 10.1002/stc.1986.
  13. 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).
  14. Main, J.A. and Jones, N.P. (2002b), "Free vibrations of taut cable with attached damper I: nonlinear viscous damper", J. Eng. Mech. -ASCE, 128(10), 1072-1081. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:10(1072).
  15. 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. Struct., 19(11), 1327-1338. https://doi.org/10.1177/1045389X07085673.
  16. Pacheco, B.M, Fujino, Y. and Sulekh, A. (1993), "Estimation curve for modal damping in stay cables with viscous damper", J. Eng. Mech. -ASCE, 119(6), 1961-1979. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:6(1961).
  17. Spencer, B.F., Jr., 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).
  18. Sun, L.M., Shi, C. and Zhou, H.J. (2004), "Parameter optimization of stay cable damper with fractional damping and stiffness", Proceedings of the 2nd International Conference on Structural Engineering, Mechanics and Computation, Cape Town, South Africa.
  19. Tabatabai, H. and Mehrabi, A.B. (2000), "Design of viscous dampers for stay cables", J. Bridge Eng. -ASCE, 114-123.
  20. Wang, H.P. and Sun, L.M. (2013), "Semi-active control of stay cables using nonlinear friction damper", Proceedings of SPIE Conference on Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems, San Diego, California, USA.
  21. 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.
  22. Weber, F. (2013), "Bouc-Wen model-based real-time force tracking scheme for MR dampers", Smart Mater. Struct., 22(4), 45012-45023. https://doi.org/10.1088/0964-1726/22/4/045012
  23. Weber, F., Feltrin, G., Maslanka, M., Fobo, W. and Distl, H. (2009), "Design of viscous dampers targeting multiple cable modes", Eng. Struct., 31(11), 2797-2800. https://doi.org/10.1016/j.engstruct.2009.06.020.
  24. Weber, F., Hogsberg, J. and Krenk, S. (2010), "Optimal tuning of amplitude proportional Coulomb friction damper for maximum cable damping", J. Struct. Eng. -ASCE, 136(2), 123-134. https://doi.org/10.1061/(ASCE)0733-9445(2010)136:2(123).
  25. Ying, Z.G., Ni, Y Q. and Ko, J.M. (2007), "Parametrically excited instability analysis of a semi-actively controlled cable", Eng. Struct., 29(4), 567-575. https://doi.org/10.1016/j.engstruct.2006.05.020.

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