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CHEN Chen, XU Jun-qi, RONG Li-jun, PAN Hong-liang, GAO Ding-gang. Nonlinear dynamics characteristics of maglev vehicle under track random irregularities[J]. Journal of Traffic and Transportation Engineering, 2019, 19(4): 115-124. doi: 10.19818/j.cnki.1671-1637.2019.04.011
Citation: CHEN Chen, XU Jun-qi, RONG Li-jun, PAN Hong-liang, GAO Ding-gang. Nonlinear dynamics characteristics of maglev vehicle under track random irregularities[J]. Journal of Traffic and Transportation Engineering, 2019, 19(4): 115-124. doi: 10.19818/j.cnki.1671-1637.2019.04.011
shu

Nonlinear dynamics characteristics of maglev vehicle under track random irregularities

doi: 10.19818/j.cnki.1671-1637.2019.04.011
  • 1.

    Maglev Transportation Engineering R and D Center, Tongji University, Shanghai 201804, China

  • 2.

    School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

  • 3.

    State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

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    Abstract
  • The dynamics characteristics of maglev vehicle caused by the random irregularity were studied based on the flexible track. Based on decomposing the track force into a segmented chain structure, an analysis method for the vertical suspension stability of maglev vehicle was proposed. The vibration natural frequencies and modal matrices of flexible track were defined when different suspension forces acted on their respective suspension points. The discrete form of track segmented chain structure and the motion equation of track structure were established. The random excitation generated by the track irregularity was transformed to the system input excitation by the virtual excitation method, and the vibrations of vehicle and track were controlled by taking the random unevenness irregularity of track as the vibration excitation source. The double-loop PID controller with the voltage feedback was used to numerically simulate the vehicle suspension state under different feedback control parameters, and the influences of feedback control parameters on the maglev system stability under the random track irregularity excitation were analyzed. Research result shows that when the maglev vehicle speed is 50-80 km·h-1 and the displacement feedback parameter, speed feedback parameter and current feedback parameter are 140 000, 50 and 500, respectively, the vehicle can quickly locate from the initial gap of 16 mm to the equilibrium position (9 mm), and can achieve a stable suspension at 2.2 s. The overshoot and steady-state error of system are-1.50 and 0.13 mm, respectively, and the vibration frequency approaches zero. When the displacement feedback parameter, speed feedback parameter and current feedback parameter are 15 000, 50 and 400, respectively, the maglev vehicle suspension stability becomes worse under the action of track random irregularity. The system tends to be stable gradually around 9 s, but it still floats up and down at the equilibrium position, and the vibration frequency and amplitude of system are 7 Hz and 0.5 mm, respectively. When the maglev vehicle speed exceeds 50-80 km·h-1, the first set of feedback control parameters are no longer applicable. The maglev system diverges around 1.7 s, and the train is unstable, indicating that under the actions of different vehicle speeds and feedback control parameters, the track random irregularity can significantly affect the suspension stability of maglev vehicle.

     

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