|Table of Contents|

Judgment method of maglev vehicle dynamic stability on flexible track

《交通运输工程学报》[ISSN:1671-1637/CN:61-1369/U]

Issue:
2015年01期
Page:
43-49
Research Field:
载运工具运用工程
Publishing date:

Info

Title:
Judgment method of maglev vehicle dynamic stability on flexible track
Author(s):
LI Song-qi1;  ZHANG Kun-lun1;  CHEN Yin1;  GUO Wei2;  LIANG Hao-ran3
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
Keywords:
maglev vehicle;  dynamics model;  single-magnet suspension;  coupling vibration;  dynamic stability
PACS:
U270.11
DOI:
-
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 6 kinds of working conditions are 100, 180, 260, 340, 420, 500 km·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, 24.8 m respectively, the stability criterion values are 1.639, 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 than 1, 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. 2 tabs, 9 figs, 20 refs.

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Last Update: 2015-02-25