Motion stability of highspeed maglev systems in consideration of aerodynamic effects:a study of a single magnetic suspension system  
期刊名称  Acta Mechanica Sinica  作者  Han Wu; XiaoHui Zeng; Yang Yu  栏目  DYNAMICS, VIBRATION, AND CONTROL  摘要  In this study, the intrinsic mechanism of aerodynamic effects on the motion stability of a highspeed 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.  英文栏目名称  DYNAMICS, VIBRATION, AND CONTROL  关键词  Highspeed maglev system;Critical speed;Aerodynamic effect;Motion stability  参考文献  1. Lee, H.W., Kim, K.C., Lee, J.:Review of maglev train technologies. IEEE Trans. Magn. 42, 19171925 (2006) 2. Dai, G.C.:600 km highspeed 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, 193196 (2010). (in Chinese) 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, 4349 (2015). (in Chinese) 5. Li, J.H., Li, J., Zhou, D.F., et al.:Selfexcited vibration problems of maglev vehiclebridge interaction system. J. Cent. South Univ. 21, 41844192 (2014) 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, 309324 (2009) 7. Wu, J.J., Zheng, X.J., Zhou, Y.H., et al.:The nonlinear dynamic characteristics of an EMS maglev control system with twostage suspension. Acta Mech. Solida Sin. 24, 6874 (2003). (in Chinese) 8. Zheng, X.J., Wu, J.J., Zhou, Y.H.:Numerical analyses on dynamic control of fivedegreeoffreedom maglev vehicle moving on flexible guideways. J. Sound Vib. 235, 4361 (2000) 9. Zheng, X.J., Wu, J.J., Zhou, Y.H.:Effect of spring nonlinearity on dynamic stability of a controlled maglev vehicle and its guideway system. J. Sound Vib. 279, 201215 (2005) 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, 829834 (2007) 11. Wang, H.P., Li, J., Zhang, K.:Nonresonant response, bifurcation and oscillation suppression of a nonautonomous system with delayed position feedback control. Nonlinear Dyn. 51, 447464 (2008) 12. Wang, H.P., Li, J., Zhang, K.:Supresonant response of a nonautonomous maglev system with delayed acceleration feedback control. IEEE Trans. Magn. 44, 23382350 (2008) 13. Zhang, L.L., Campbell, S.A., Huang, L.H.:Nonlinear analysis of a maglev system with timedelayed feedback control. Phys. DNonlinear Phenom. 240, 17611770 (2011) 14. Zhang, L.L., Huang, L.H., Zhang, Z.Z.:Hopf bifurcation of the maglev timedelay feedback system via pseudooscillator analysis. Math. Comput. Modell. 52, 667673 (2010) 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, 197207 (2009) 16. Yau, J.D.:Vibration control of maglev vehicles traveling over a flexible guide way. J. Sound Vib. 321, 184200 (2009) 17. Zhou, D.F., Hansen, C.H., Li, J.:Suppression of maglev vehiclegirder selfexcited vibration using a virtual tuned mass damper. J. Sound Vib. 330, 883901 (2011) 18. Zhou, D.F., Li, J., Hansen, C.H.:Application of least mean square algorithm to suppression of maglev trackinduced selfexcited vibration. J. Sound Vib. 330, 57915811 (2011) 19. Zhou, D.F., Li, J., Zhang, K.:Amplitude control of the trackinduced selfexcited vibration for a maglev system. ISA Trans. 53, 14631469 (2014) 20. Li, J.H., Li, J., Zhou, D.F., et al.:The active control of maglev stationary selfexcited vibration with a virtual energy harvester. IEEE Trans. Ind. Electron. 62, 29422951 (2015) 21. Li, J.H., Fang, D., Zhang, D., et al.:A practical control strategy for the maglev selfexcited resonance suppression. Math. Problems Eng. 2016, 19 (2016) 22. Zeng, X.H., Wu, H., Lai, J., et al.:Influences of aerodynamic loads on hunting stability of highspeed railway vehicles and parameter studies. Acta. Mech. Sin. 30, 889900 (2014) 23. Zeng, X.H., Wu, H., Lai, J., et al.:Hunting stability of highspeed railway vehicles on a curved track considering the effects of steady aerodynamic loads. J. Vib. Control 22, 41594175 (2016) 24. Li, S.Y., Zheng, Z.J., Yu, J.L., et al.:Dynamic simulation and safety evaluation of highspeed trains meeting in open air. Acta. Mech. Sin. 32, 206214 (2016) 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, 34453456 (2008) 26. Yau, J.D.:Aerodynamic vibrations of a maglev vehicle running on flexible guide ways under oncoming wind actions. J. Sound Vib. 329, 17431759 (2010) 27. Wu, J.J., Shi, X.H.:Numerical analyses of dynamic stability of maglev vehicles in crosswind field. J. Lanzhou Univ. (Nat. Sci.) 45, 96102 (2009). (in Chinese) 28. Moon, F.C.:MagnetoSolid Mechanics. Wiley, New York (1984) 29. Tian, H.Q.:Train Aerodynamics. China Railway Publishing House, Beijing (2007). (in Chinese) 30. Zeng, X.H., Wu, H., Lai, J., et al.:The effect of wheel set gyroscopic action on the hunting stability of highspeed trains. Veh. Syst. Dyn. 55, 924944 (2017) 31. Cheng, Y.C.:Hunting stability analysis of a railway vehicle system using a novel nonlinear creep model. Proc. Inst. Mech. Eng. Part F. J. Rail Rapid Transit 226, 612629 (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, 443459 (2013) 33. Iwnicki, S.:Handbook of Railway Vehicle Dynamics. CRC Press, London (2006) 34. Wu, J.J., Yang, W.W.:Dynamic character of EMS maglev train/nonlinear elastic guideway system. J. Lanzhou Univ. (Nat. Sci.) 42, 120126 (2006). (in Chinese)  年  2017  卷  33  期  6  开始页码  1084  结束页码  1094  DOI  10.1007/s104090170698z  基金项目  The project was supported by the National Key ResearchandDevelopmentProgramofChina(Grant2016YFB1200602), 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).  点击率  445  作者地址  1 Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China; 2 School of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China; 3 State Key Laboratory of Hydraulic Engineering Simulation and Safety, School of Civil Engineering, Tianjin University, Tianjin 300072, China 
