Volume 15 Issue 1
. 
Turn off MathJax
Article Contents
Article Navigation >  Journal of Traffic and Transportation Engineering  > 2015  >  15(1): 43-49
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
shu

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.

     

    • FullText(HTML)
  • loading
    • References(20)
  • [1]
    翟婉明, 赵春发. 磁浮车辆/轨道系统动力学(Ⅰ)――磁/轨相互作用及稳定性[J]. 机械工程学报, 2005, 41(7): 1-10. doi: 10.3321/j.issn:0577-6686.2005.07.001

    ZHAI Wan-ming, ZHAO Chun-fa. Dynamics of maglev vehicle/guideway systems(Ⅰ)―magnet/rail interaction and system stability[J]. Chinese Journal of Mechanical Engineering, 2005, 41(7): 1-10. (in Chinese) doi: 10.3321/j.issn:0577-6686.2005.07.001
    [2]
    赵春发, 翟婉明. 磁浮车辆/轨道系统动力学(Ⅱ)――建模与仿真[J]. 机械工程学报, 2005, 41(8): 163-175. doi: 10.3321/j.issn:0577-6686.2005.08.029

    ZHAO Chun-fa, ZHAI Wan-ming. Dynamics of maglev vehicle/guideway systems(Ⅱ)―modeling and simulation[J]. Chinese Journal of Mechanical Engineering, 2005, 41(8): 163-175. (in Chinese) doi: 10.3321/j.issn:0577-6686.2005.08.029
    [3]
    李莉, 孟光. 电磁型磁悬浮列车动力学研究综述[J]. 铁道学报, 2003, 25(4): 110-114. doi: 10.3321/j.issn:1001-8360.2003.04.022

    LI Li, MENG Guang. Summary of the dynamic research on EMS-maglev trains[J]. Journal of the China Railway Society, 2003, 25(4): 110-114. (in Chinese) doi: 10.3321/j.issn:1001-8360.2003.04.022
    [4]
    WANG Kai-yun, HUANG Chao, ZHAI Wan-ming, et al. Progress on wheel-rail dynamic performance of railway curve negotiation[J]. Journal of Traffic and Transportation Engineering: English Edition, 2014, 1(3): 209-220. doi: 10.1016/S2095-7564(15)30104-5
    [5]
    时瑾, 姚忠达, 王英杰. 轨道梁在磁浮列车以共振速度通过时动力响应分析[J]. 工程力学, 2012, 29(12): 196-203. doi: 10.6052/j.issn.1000-4750.2011.05.0262

    SHI Jin, YAU J D, WANG Ying-jie. Dynamic response of guideway girders due to high-speed maglev trains moving at resonant speeds[J]. Engineering Mechanics, 2012, 29(12): 196-203. (in Chinese) doi: 10.6052/j.issn.1000-4750.2011.05.0262
    [6]
    曾佑文, 王少华, 张昆仑. EMS磁浮列车-轨道垂向耦合动力学研究[J]. 铁道学报, 1999, 21(2): 21-25. doi: 10.3321/j.issn:1001-8360.1999.02.005

    ZENG You-wen, WANG Shao-hua, ZHANG Kun-lun. A study of vertical coupling dynamics of EMS maglev train and guideway systems[J]. Journal of the China Railway Society, 1999, 21(2): 21-25. (in Chinese) doi: 10.3321/j.issn:1001-8360.1999.02.005
    [7]
    梁鑫, 罗世辉, 马卫华, 等. 磁浮列车单铁悬浮车桥耦合振动分析[J]. 交通运输工程学报, 2012, 12(2): 32-37. doi: 10.3969/j.issn.1671-1637.2012.02.006

    LIANG Xin, LUO Shi-hui, MA Wei-hua, et al. Coupling vibration analysis of single-magnet suspension vehicle-bridge for maglev train[J]. Journal of Traffic and Transportation Engineering, 2012, 12(2): 32-37. (in Chinese) doi: 10.3969/j.issn.1671-1637.2012.02.006
    [8]
    王辉, 沈钢. 磁悬浮车轨耦合振动的小比例相似模型[J]. 交通运输工程学报, 2014, 14(1): 49-56. doi: 10.3969/j.issn.1671-1637.2014.01.009

    WANG Hui, SHEN Gang. Small-scale similarity model of maglev-guideway coupling vibration[J]. Journal of Traffic and Transportation Engineering, 2014, 14(1): 49-56. (in Chinese) doi: 10.3969/j.issn.1671-1637.2014.01.009
    [9]
    LI Jin-hui, LI Jie, ZHOU Dan-feng, et al. Self-excited vibration problems of maglev vehicle-bridge interaction system[J]. Journal of Central South University, 2014, 21(11): 4184-4192. doi: 10.1007/s11771-014-2414-5
    [10]
    何灼馀, 罗世辉, 梁海清. 低速磁浮列车二系悬挂动力学分析[J]. 交通运输工程学报, 2009, 9(1): 12-16. doi: 10.3321/j.issn:1671-1637.2009.01.003

    HE Zhuo-yu, LUO Shi-hui, LIANG Hai-qing. Dynamic analysis of secondary suspension for low-speed maglev train[J]. Journal of Traffic and Transportation Engineering, 2009, 9(1): 12-16. (in Chinese) doi: 10.3321/j.issn:1671-1637.2009.01.003
    [11]
    ZHOU D F, HANSEN C H, LI J. Suppression of maglev vehicle-girder self-excited vibration using a virtual tuned mass damper[J]. Journal of Sound and Vibration, 2011, 330(5): 883-901. doi: 10.1016/j.jsv.2010.09.018
    [12]
    邹东升, 佘龙华, 张志强, 等. 磁浮系统车轨耦合振动分析[J]. 电子学报, 2010, 38(9): 2071-2075. https://www.cnki.com.cn/Article/CJFDTOTAL-DZXU201009019.htm

    ZOU Dong-sheng, SHE Long-hua, ZHANG Zhi-qiang, et al. Maglev vehicle and guideway coupling vibration analysis[J]. Acta Electronica Sinica, 2010, 38(9): 2071-2075. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-DZXU201009019.htm
    [13]
    王洪坡, 李杰. 一类非自治位置时滞反馈控制系统的亚谐共振响应[J]. 物理学报, 2007, 56(5): 2504-2516. doi: 10.3321/j.issn:1000-3290.2007.05.007

    WANG Hong-po, LI Jie. Sub-harmonic resonances of the non-autonomous system with delayed position feedback control[J]. Acta Physica Sinica, 2007, 56(5): 2504-2516. (in Chinese) doi: 10.3321/j.issn:1000-3290.2007.05.007
    [14]
    ZHANG Ling-ling, HUANG Li-hong, ZHANG Zhi-zhou. Hopf bifurcation of the maglev time-delay feedback system via pseudo-oscillator analysis[J]. Mathematical and Computer Modelling, 2010, 52(5/6): 667-673.
    [15]
    POPP K. Mathematical modeling and control system design of maglev vehicles[D]. Hannover: Leibniz Universit?t Hannover, 1982.
    [16]
    周又和, 武建军, 郑晓静, 等. 磁浮列车的动力稳定性分析与Lyapunov指数[J]. 力学学报, 2000, 32(1): 42-51. doi: 10.3321/j.issn:0459-1879.2000.01.005

    ZHOU You-he, WU Jian-jun, ZHENG Xiao-jing, et al. Analysis of dynamic stability for magnetic levitation vehicles by Lyapunov characteristic number[J]. Acta Mechanica Sinica, 2000, 32(1): 42-51. (in Chinese) doi: 10.3321/j.issn:0459-1879.2000.01.005
    [17]
    武建军, 郑晓静, 周又和. 弹性轨道上二自由度磁悬浮列车的动力特性分析[J]. 振动工程学报, 1999, 12(4): 439-446. https://www.cnki.com.cn/Article/CJFDTOTAL-ZDGC199904000.htm

    WU Jian-jun, ZHENG Xiao-jing, ZHOU You-he. Dynamic characteristic analysis of maglev vehicle with two degrees of freedom on flexible guideways[J]. Journal of Vibration Engineering, 1999, 12(4): 439-446. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZDGC199904000.htm
    [18]
    ZHENG Xiao-jing, WU Jian-jun, ZHOU You-he. Numerical analyses on dynamic control of five-degree-of-freedom maglev vehicle moving on flexible guideways[J]. Journal of Sound and Vibration, 2000, 235(1): 43-61. doi: 10.1006/jsvi.1999.2911
    [19]
    李云钢, 常文森. 磁浮列车悬浮系统的串级控制[J]. 自动化学报, 1999, 25(2): 247-251. https://www.cnki.com.cn/Article/CJFDTOTAL-MOTO902.016.htm

    LI Yun-gang, CHANG Wen-sen. Cascade control of an EMS maglev vehicle's levitation control system[J]. Acta Automatica Sinica, 1999, 25(2): 247-251. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-MOTO902.016.htm
    [20]
    张东升, 梅雪松, 郝晓红, 等. 磁悬浮系统的电流控制方法[J]. 西安交通大学学报, 2007, 41(9): 1096-1100. doi: 10.3321/j.issn:0253-987x.2007.09.021

    ZHANG Dong-sheng, MEI Xue-song, HAO Xiao-hong, et al. Current control method for magnetic suspension system[J]. Journal of Xi'an Jiaotong University, 2007, 41(9): 1096-1100. (in Chinese) doi: 10.3321/j.issn:0253-987x.2007.09.021
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML

    Article Metrics

    Article views (842) PDF downloads(853) Cited by()
    Proportional views
    Related

    Copyright《Journal of Traffic and Transportation Engineering》编辑部陕ICP备05001904号-1

    Address ：Editorial Department of Journal of Traffic and Transportation Engineering, Chang 'an University, Middle Section of South Second Ring Road, Xi 'an, Shaanxi（710064） Tel：029-82334388 Email：jygc@chd.edu.cn

    All visit:Today's visit:

    Supported by: Beijing Renhe Information Technology Co. Ltd    

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return