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Motion stability of high-speed maglev systems in consideration of aerodynamic effects: a study of a single magnetic suspension system

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Abstract

In this study, the intrinsic mechanism of aerodynamic effects on the motion stability of a high-speed maglev system was investigated. The concept of a critical speed for maglev vehicles considering the aerodynamic effect is proposed. The study was carried out based on a single magnetic suspension system, which is convenient for proposing relevant concepts and obtaining explicit expressions. This study shows that the motion stability of the suspension system is closely related to the vehicle speed when aerodynamic effects are considered. With increases of the vehicle speed, the stability behavior of the system changes. At a certain vehicle speed, the stability of the system reaches a critical state, followed by instability. The speed corresponding to the critical state is the critical speed. Analysis reveals that when the system reaches the critical state, it takes two forms, with two critical speeds, and thus two expressions for the critical speed are obtained. The conditions of the existence of the critical speed were determined, and the effects of the control parameters and the lift coefficient on the critical speed were analyzed by numerical analysis. The results show that the first critical speed appears when the aerodynamic force is upward, and the second critical speed appears when the aerodynamic force is downward. Moreover, both critical speeds decrease with the increase of the lift coefficient.

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References

  1. Lee, H.W., Kim, K.C., Lee, J.: Review of maglev train technologies. IEEE Trans. Magn. 42, 1917–1925 (2006)

    Article  Google Scholar 

  2. Dai, G.C.: 600 km high-speed maglev project started in China: build a test line within 5 years. The Study News [2016.11.13]. http://www.thestudy.cn/newsDetail_forward_1557972

  3. Wu, J.J., Shen, F., Shi, X.H.: Stability and hopf bifurcation of maglev control system. J. Vib. Shock 29, 193–196 (2010). (in Chinese)

    Google Scholar 

  4. Li, S.Q., Zhang, K.L., Chen, Y., et al.: Judgment method of maglev vehicle dynamic stability of flexible track. J. Traffic Transp. Eng. 15, 43–49 (2015). (in Chinese)

    Google Scholar 

  5. Li, J.H., Li, J., Zhou, D.F., et al.: Self-excited vibration problems of maglev vehicle–bridge interaction system. J. Cent. South Univ. 21, 4184–4192 (2014)

    Article  Google Scholar 

  6. Han, H.S., Yim, B.H., Lee, J.K., et al.: Effects of guideway’s vibration characteristics on the dynamics of a maglev vehicle. Veh. Syst. Dyn. 47, 309–324 (2009)

    Article  Google Scholar 

  7. Wu, J.J., Zheng, X.J., Zhou, Y.H., et al.: The nonlinear dynamic characteristics of an EMS maglev control system with two-stage suspension. Acta Mech. Solida Sin. 24, 68–74 (2003). (in Chinese)

    Google Scholar 

  8. Zheng, X.J., Wu, J.J., Zhou, Y.H.: Numerical analyses on dynamic control of five-degree-of-freedom maglev vehicle moving on flexible guideways. J. Sound Vib. 235, 43–61 (2000)

    Article  Google Scholar 

  9. Zheng, X.J., Wu, J.J., Zhou, Y.H.: Effect of spring non-linearity on dynamic stability of a controlled maglev vehicle and its guideway system. J. Sound Vib. 279, 201–215 (2005)

    Article  Google Scholar 

  10. Wang, H.P., Li, J., Zhang, K.: Stability and Hopf bifurcation of the maglev system with delayed speed feedback control. Acta Autom. Sin. 33, 829–834 (2007)

    MATH  Google Scholar 

  11. Wang, H.P., Li, J., Zhang, K.: Non-resonant response, bifurcation and oscillation suppression of a non-autonomous system with delayed position feedback control. Nonlinear Dyn. 51, 447–464 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  12. Wang, H.P., Li, J., Zhang, K.: Sup-resonant response of a nonautonomous maglev system with delayed acceleration feedback control. IEEE Trans. Magn. 44, 2338–2350 (2008)

    Article  Google Scholar 

  13. Zhang, L.L., Campbell, S.A., Huang, L.H.: Nonlinear analysis of a maglev system with time-delayed feedback control. Phys. DNonlinear Phenom. 240, 1761–1770 (2011)

    Article  MATH  Google Scholar 

  14. Zhang, L.L., Huang, L.H., Zhang, Z.Z.: Hopf bifurcation of the maglev time-delay feedback system via pseudo-oscillator analysis. Math. Comput. Modell. 52, 667–673 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  15. Zhang, L.L., Huang, L.H., Zhang, Z.Z.: Stability and Hopf bifurcation of the maglev system with delayed position and speed feedback control. Nonlinear Dyn. 57, 197–207 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  16. Yau, J.D.: Vibration control of maglev vehicles traveling over a flexible guide way. J. Sound Vib. 321, 184–200 (2009)

    Article  Google Scholar 

  17. Zhou, D.F., Hansen, C.H., Li, J.: Suppression of maglev vehicle-girder self-excited vibration using a virtual tuned mass damper. J. Sound Vib. 330, 883–901 (2011)

    Article  Google Scholar 

  18. Zhou, D.F., Li, J., Hansen, C.H.: Application of least mean square algorithm to suppression of maglev track-induced self-excited vibration. J. Sound Vib. 330, 5791–5811 (2011)

    Article  Google Scholar 

  19. Zhou, D.F., Li, J., Zhang, K.: Amplitude control of the track-induced self-excited vibration for a maglev system. ISA Trans. 53, 1463–1469 (2014)

    Article  Google Scholar 

  20. Li, J.H., Li, J., Zhou, D.F., et al.: The active control of maglev stationary self-excited vibration with a virtual energy harvester. IEEE Trans. Ind. Electron. 62, 2942–2951 (2015)

    Article  Google Scholar 

  21. Li, J.H., Fang, D., Zhang, D., et al.: A practical control strategy for the maglev self-excited resonance suppression. Math. Problems Eng. 2016, 1–9 (2016)

    MathSciNet  Google Scholar 

  22. Zeng, X.H., Wu, H., Lai, J., et al.: Influences of aerodynamic loads on hunting stability of high-speed railway vehicles and parameter studies. Acta. Mech. Sin. 30, 889–900 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  23. Zeng, X.H., Wu, H., Lai, J., et al.: Hunting stability of high-speed railway vehicles on a curved track considering the effects of steady aerodynamic loads. J. Vib. Control 22, 4159–4175 (2016)

    Article  Google Scholar 

  24. Li, S.Y., Zheng, Z.J., Yu, J.L., et al.: Dynamic simulation and safety evaluation of high-speed trains meeting in open air. Acta. Mech. Sin. 32, 206–214 (2016)

    Article  Google Scholar 

  25. Kwon, S.D., Lee, J.S., Moon, J.W., et al.: Dynamic interaction analysis of urban transit maglev vehicle and guideway suspension bridge subjected to gusty wind. Eng. Struct. 30, 3445–3456 (2008)

    Article  Google Scholar 

  26. Yau, J.D.: Aerodynamic vibrations of a maglev vehicle running on flexible guide ways under oncoming wind actions. J. Sound Vib. 329, 1743–1759 (2010)

    Article  Google Scholar 

  27. Wu, J.J., Shi, X.H.: Numerical analyses of dynamic stability of maglev vehicles in crosswind field. J. Lanzhou Univ. (Nat. Sci.) 45, 96–102 (2009). (in Chinese)

    Google Scholar 

  28. Moon, F.C.: Magneto-Solid Mechanics. Wiley, New York (1984)

    Google Scholar 

  29. Tian, H.Q.: Train Aerodynamics. China Railway Publishing House, Beijing (2007). (in Chinese)

    Google Scholar 

  30. Zeng, X.H., Wu, H., Lai, J., et al.: The effect of wheel set gyroscopic action on the hunting stability of high-speed trains. Veh. Syst. Dyn. 55, 924–944 (2017)

  31. Cheng, Y.C.: Hunting stability analysis of a railway vehicle system using a novel non-linear creep model. Proc. Inst. Mech. Eng. Part F. J. Rail Rapid Transit 226, 612–629 (2012)

  32. True, H.: Multiple attractors and critical parameters and how to find them numerically: the right, the wrong and the gambling way. Veh. Syst. Dyn. 51, 443–459 (2013)

    Article  Google Scholar 

  33. Iwnicki, S.: Handbook of Railway Vehicle Dynamics. CRC Press, London (2006)

    Book  Google Scholar 

  34. Wu, J.J., Yang, W.W.: Dynamic character of EMS maglev train/nonlinear elastic guideway system. J. Lanzhou Univ. (Nat. Sci.) 42, 120–126 (2006). (in Chinese)

    MathSciNet  Google Scholar 

Download references

Acknowledgements

The project was supported by the National Key Research and Development Program of China (Grant 2016YFB1200602), the National Natural Science Foundation of China (Grants 11672306, 51490673), the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant XDB22020101), the National Basic Research Program (973 Program) of China (Grant 2014CB046801), and the State Key Laboratory of Hydraulic Engineering Simulation and Safety (Tianjin University).

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Authors and Affiliations

  1. Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, China

    Han Wu & Xiao-Hui Zeng

  2. School of Engineering Science, University of Chinese Academy of Sciences, Beijing, 100049, China

    Han Wu & Xiao-Hui Zeng

  3. State Key Laboratory of Hydraulic Engineering Simulation and Safety, School of Civil Engineering, Tianjin University, Tianjin, 300072, China

    Han Wu & Yang Yu

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  1. Han Wu
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  2. Xiao-Hui Zeng
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Correspondence to Xiao-Hui Zeng.

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Wu, H., Zeng, XH. & Yu, Y. Motion stability of high-speed maglev systems in consideration of aerodynamic effects: a study of a single magnetic suspension system. Acta Mech. Sin. 33, 1084–1094 (2017). https://doi.org/10.1007/s10409-017-0698-z

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  • DOI: https://doi.org/10.1007/s10409-017-0698-z

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