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LI Song-qi, ZHANG Kun-lun, CHEN Yin, GUO Wei, LIANG Hao-ran. Judgment method of maglev vehicle dynamic stability on flexible track[J]. Journal of Traffic and Transportation Engineering, 2015, 15(1): 43-49. doi: 10.19818/j.cnki.1671-1637.2015.01.006
Citation: LI Song-qi, ZHANG Kun-lun, CHEN Yin, GUO Wei, LIANG Hao-ran. Judgment method of maglev vehicle dynamic stability on flexible track[J]. Journal of Traffic and Transportation Engineering, 2015, 15(1): 43-49. doi: 10.19818/j.cnki.1671-1637.2015.01.006
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Judgment method of maglev vehicle dynamic stability on flexible track

doi: 10.19818/j.cnki.1671-1637.2015.01.006
  • 1.

    Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle of Ministry of Education, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

  • 2.

    School of Information Scienceand Technology, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

  • 3.

    Faculty of Applied Science and Engineering, University of Toronto, Toronto M5S 1A4, Ontario, Canada

More Information
  • Author Bio:

    LISong-qi(1980-), male, lecturer, doctoralstudent, +86-28-87600338, li.songqi@qq.com

    ZHANG Kun-lun(1964-), male, professor, +86-28-87600338, zhangkunlun@263.net

  • Received Date: 2014-09-21
  • Publish Date: 2015-02-25
    Abstract
  • The dynamic stability of EMS maglev vehicle was analyzed, a simplified dynamics model of vehicle-track coupling vibration system was set up, and the time-varying linear kinetics equations of the system were deduced based on each track mode separately.The state matrix and the correlation coefficients of characteristic equations for the system were produced by simplifying the equations.The basic conditions of the system on dynamic stability were derived from the proper relationship among the coefficients under the condition of asymptotically stable system, and the quick dynamic stability criterion was given.When the criterion value was greater than 1, the system was stable.When the criterion value was less than 1, the system was unstable.Research result indicates that when the speeds of 6kinds of working conditions are 100, 180, 260, 340, 420, 500km·h-1 respectively, the track bending stiffnesses are 4.83×1010, 3.86×1010, 3.38×1010, 3.38×1010, 3.86×1010, 4.83×1010 N·m2 respectively, and the track beam lengths are 24.8, 22.4, 20.4, 20.4, 22.4, 24.8mrespectively, the stability criterion values are1.639, 0.624, 2.339, 0.870, 3.252, 0.571 respectively, and the related Lyapunov characteristic exponents are-3.580×10-2, 2.443×10-1, -3.910×10-2, 1.515×10-1, -5.471×10-2, 1.939×10-1 respectively.Under conditions 1, 3, 5, the stability criterion values are greater than1, the related exponents are less than 0, so the system is stable.Under conditions 2, 4, 6, the stability criterion values are less than 1, the related exponents are greater than 0, so the system is unstable.The two judgment results are coincident, so the criterion is reliable.the stability criterion explains the reason of resonance caused by vehicle speed increase, reveals the relationship among maglev vehicle dynamic stability, vehicle speed and vehicle-track system main parameters, avoids the complexity to solve high-dimension dynamics differential equation, and is simpler and more convenient in engineering application.

     

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