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Magnetorheological elastomer base isolator for earthquake response mitigation on building structures: modeling and second-order sliding mode control

  • Yu, Yang (School of Civil and Environmental Engineering, University of Technology Sydney) ;
  • Royel, Sayed (School of Electrical Mechanical and Mechatronic Systems, University of Technology Sydney) ;
  • Li, Jianchun (School of Civil and Environmental Engineering, University of Technology Sydney) ;
  • Li, Yancheng (School of Civil and Environmental Engineering, University of Technology Sydney) ;
  • Ha, Quang (School of Electrical Mechanical and Mechatronic Systems, University of Technology Sydney)
  • Received : 2016.01.16
  • Accepted : 2016.06.20
  • Published : 2016.12.25

Abstract

Recently, magnetorheological elastomer (MRE) material and its devices have been developed and attracted a good deal of attention for their potentials in vibration control. Among them, a highly adaptive base isolator based on MRE was designed, fabricated and tested for real-time adaptive control of base isolated structures against a suite of earthquakes. To perfectly take advantage of this new device, an accurate and robust model should be built to characterize its nonlinearity and hysteresis for its application in structural control. This paper first proposes a novel hysteresis model, in which a nonlinear hyperbolic sine function spring is used to portray the strain stiffening phenomenon and a Voigt component is incorporated in parallel to describe the solid-material behaviours. Then the fruit fly optimization algorithm (FFOA) is employed for model parameter identification using testing data of shear force, displacement and velocity obtained from different loading conditions. The relationships between model parameters and applied current are also explored to obtain a current-dependent generalized model for the control application. Based on the proposed model of MRE base isolator, a second-order sliding mode controller is designed and applied to the device to provide a real-time feedback control of smart structures. The performance of the proposed technique is evaluated in simulation through utilizing a three-storey benchmark building model under four benchmark earthquake excitations. The results verify the effectiveness of the proposed current-dependent model and corresponding controller for semi-active control of MRE base isolator incorporated smart structures.

Acknowledgement

Supported by : Australian Research Counci

References

  1. Agrawal, A.K. and Yang, J.N. (1999), "Design of passive energy dissipation systems based on LQR control methods", J. Int. Mat. Syst. Struct., 10(12), 933-944. https://doi.org/10.1106/FB58-N1DG-ECJT-B8H4
  2. Behrooz, M., Wang, X. and Gordaniejad, F. (2014a), "Modeling of a new semi-active/passive magnetorheological elastomer isolator", Smart Mater. Struct., 23(4), 045013. https://doi.org/10.1088/0964-1726/23/4/045013
  3. Behrooz, M., Wang, X. and Gordaniejad, F. (2014b), "Performance of a new semi-active/passive magnetorheological elastomer isoaltor", Smart Mater. Struct., 23(4), 045014. https://doi.org/10.1088/0964-1726/23/4/045014
  4. Chen, L. and Jerrams, S. (2011), "A rheological model of the dynamic behaviour of magnetorheological elastomers", J. Appl. Phys., 110(1), 013513. https://doi.org/10.1063/1.3603052
  5. Du, H., Li, W. and Zhang, N. (2011), "Semi-active variable stiffness vibration control of vehicle seat suspension using an MR elastomer isolator", Smart Mater. Struct., 20(10), 105003. https://doi.org/10.1088/0964-1726/20/10/105003
  6. Dyke, S.J., Spencer, B.F., Sain, M.K. and Carlson, J.D. (1996), "Modeling and control of magnetorheological dampers for seismic response reduction", Smart Mater. Struct., 5(5), 565-575. https://doi.org/10.1088/0964-1726/5/5/006
  7. Eem, S., Jung, H. and Koo, J. (2012), "Modeling of magneto-rheological elastomers for harmonic shear deformation", IEEE Trans. Magnet., 48(11), 3080-3083. https://doi.org/10.1109/TMAG.2012.2205140
  8. Feng, J., Xuan, S., Liu, T., Ge, L., Yan, L., Zhou, H. and Gong, X. (2015), "The prestress-dependent mechanical response of magnetorheological elastomers", Smart Mater. Struct., 24(8), 085032. https://doi.org/10.1088/0964-1726/24/8/085032
  9. Filippov, A.F. and Arscott, F.M. (1988), Differential equations with discontinuous righthand sides, Kluwer Academic Publishers, Netherlands.
  10. Ginder, J.M., Nichols, M.E., Elie, L.D. and Tardiff, J.L. (1999), "Magnetorheological elastomers: properties and applications", Proc. SPIE, 3675, 131-138. https://doi.org/10.1117/12.352787
  11. Gu, X., Li, J., Li, Y. and Askari, M. (2015), "Frequency control of smart base isolation system employing a novel adaptive magnetorheological elastomer base isolator", J. Int. Mat. Syst. Struct., 27(7), 849-858.
  12. Ha, Q.P., Kwok, N.M., Nguyen, M.T., Li, J. and Samali, B. (2008), "Mitigation of seismic responses of building structures using MR dampers with Lyapunov-based control", Struct. Control Hlth., 15(6), 604-621. https://doi.org/10.1002/stc.218
  13. Ha, Q.P., Nguyen, M.T., Li, J. and Kwok, N.M. (2013), "Smart structures with current-driven MR dampers: modelling and second-order sliding mode control", IEEE-ASME Trans. Mech., 18(6), 1702-1711. https://doi.org/10.1109/TMECH.2013.2280282
  14. Ha, Q.P., Royel, S., Li, J. and Li, Y. (2015), "Hysteresis modeling of smart structure MR devices using describing functions", IEEE-ASME Trans. Mech., 21(1), 44-50.
  15. Hosseini, M. and Farsangi, E.N. (2012), "Telescopic columns as a new base isolation system for vibration control of high-rise buildings", Earthq. Struct., 3(6), 853-867. https://doi.org/10.12989/eas.2012.3.6.853
  16. Jansen, L. and Dyke, S. (2000), "Semiactive control strategies for MR dampers: comparative study", J. Eng. Mech., 126(8), 795-803. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:8(795)
  17. Levant, A. (2007), "Principles of 2-sliding mode design", Automatica, 43(4), 576-586. https://doi.org/10.1016/j.automatica.2006.10.008
  18. Li, W.H., Zhou, Y. and Tian, T.F. (2010), "Viscoelastic properties of MR elastomers under harmonic loading", Rheol Acta, 49(7), 733-740. https://doi.org/10.1007/s00397-010-0446-9
  19. Li, Y. and Li, J. (2015), "A highly adjustable base isolator utilizing magnetorheological elastomer: experimental testing and modeling", J. Vib. Acoust., 137(1), 011009. https://doi.org/10.1115/1.4028228
  20. Li, Y., Li, J., Li, W. and Du, H. (2014), "A state-of-the-art review on magnetorheological elastomer devices", Smart Mater. Struct., 23(12), 123001. https://doi.org/10.1088/0964-1726/23/12/123001
  21. Li, Y., Li, J., Tian, T. and Li, W. (2013), "A highly adjustable magnetorheological elastomer base isolator for applications of real-time adaptive control", Smart Mater. Struct., 22(9), 095020. https://doi.org/10.1088/0964-1726/22/9/095020
  22. Mei, Z., Peng, Y. and Li, J. (2013), "Experimental and analytical studies on stochastic seismic response control of structures with MR dampers", Earthq. Struct., 5(4), 395-416. https://doi.org/10.12989/eas.2013.5.4.395
  23. Murase, M. and Tsuji, M. and Takewaki, I. (2013), "Smart passive control of buildings with higher redundancy and robustness using base-isolation and inter-connection", Earthq. Struct., 4(6), 649-670. https://doi.org/10.12989/eas.2013.4.6.649
  24. Pan, W.T. (2012), "A new fruit fly optimization algorithm: taking the financial distress model as an example", Knowl-based Syst., 26(2), 69-74. https://doi.org/10.1016/j.knosys.2011.07.001
  25. Pan, W.T. (2013), "Using modified fruit fly optimization algorithm to perform the function test and case studies", Connect. Sci., 25(2-3), 151-160. https://doi.org/10.1080/09540091.2013.854735
  26. Pan, W.T. (2014), "Mixed modified fruit fly optimization algorithm with general regression neural network to build oil and gold prices forecasting model", Kybernetes, 43(7), 1053-1063. https://doi.org/10.1108/K-02-2014-0024
  27. Pisano, A. and Usai, E. (2011), "Sliding mode control: A survey with applications in math", Math. Comput. Simulat., 81(5), 954-979. https://doi.org/10.1016/j.matcom.2010.10.003
  28. Spencer, B.F. (2004), "Benchmark structural control problems for seismic and wind-excited structures: Editorial", J. Eng. Mech., 130(4), 363-365. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:4(363)
  29. Spencer, B.F. and Nagarajaiah, S. (2003), "State of the art of structural control", J. Struct. Eng., 129(7), 845-856. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:7(845)
  30. Takewaki, I. and Tsujimoto, H. (2011), "Scaling of design earthquake ground motions for tall buildings based on drift and input energy demands", Earthq. Struct., 2(2), 171-187. https://doi.org/10.12989/eas.2011.2.2.171
  31. Tavakoli, H.R., Naghavi, F. and Goltabar, A.R. (2015), "Effect of base isolation systems on increasing the resistance of structures subjected to progressive collapse", Earthq. Struct., 9(3), 639-656. https://doi.org/10.12989/eas.2015.9.3.639
  32. Yang, J., Du, H., Li, W., Li, Y., Li, J., Sun, S. and Deng, H.X. (2013), "Experimental study and modeling of a novel magnetorheological elastomer isolator", Smart Mater. Struct., 22(11), 117001. https://doi.org/10.1088/0964-1726/22/11/117001
  33. Yang, J., Sun, S.S., Du, H., Li, W.H., Alici, G. and Deng, H.X. (2014), "A novel magnetorheological elastomer isolator with negative changing stiffness for vibration reduction", Smart Mater. Struct., 23(10), 105023. https://doi.org/10.1088/0964-1726/23/10/105023
  34. Yu, Y., Li, Y. and Li, J. (2015a), "Forecasting hysteresis behaviours of magnetorheological elastomer base isolator utilizing a hybrid model based on support vector regression and improved particle swarm optimization", Smart Mater. Struct., 24(3), 035025. https://doi.org/10.1088/0964-1726/24/3/035025
  35. Yu, Y., Li, Y. and Li, J. (2015b), "Parameter identification and sensitivity analysis of an improved LuGre friction model for magnetorheological elastomer base isolator", Meccanica, 50(11): 2691-2707. https://doi.org/10.1007/s11012-015-0179-z
  36. Yu, Y., Li, Y., Li, J. and Gu, X. (2016), "A hysteresis model for dynamic behaviour of magnetorheological elastomer base isolator", Smart Mater. Struct., 25(5), 055029. https://doi.org/10.1088/0964-1726/25/5/055029

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