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Technical Brief

The Motor Active Flexible Suspension and Its Dynamic Effect on the High-Speed Train Bogie

[+] Author and Article Information
Yuan Yao

Traction Power State Key Laboratory,
Southwest JiaoTong University,
Chengdu 610031, China
e-mail: yyuan@swjtu.edu.cn

Yapeng Yan, Zhike Hu, Kang Chen

Traction Power State Key Laboratory,
Southwest JiaoTong University,
Chengdu 610031, China

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received May 31, 2017; final manuscript received October 10, 2017; published online December 19, 2017. Assoc. Editor: Shankar Coimbatore Subramanian.

J. Dyn. Sys., Meas., Control 140(6), 064501 (Dec 19, 2017) (7 pages) Paper No: DS-17-1287; doi: 10.1115/1.4038389 History: Received May 31, 2017; Revised October 10, 2017

We put forward the motor active flexible suspension and investigate its dynamic effects on the high-speed train bogie. The linear and nonlinear hunting stability are analyzed using a simplified eight degrees-of-freedom bogie dynamics with partial state feedback control. The active control can improve the function of dynamic vibration absorber of the motor flexible suspension in a wide frequency range, thus increasing the hunting stability of the bogie at high speed. Three different feedback state configurations are compared and the corresponding optimal motor suspension parameters are analyzed with the multi-objective optimal method. In addition, the existence of the time delay in the control system and its impact on the bogie hunting stability are also investigated. The results show that the three control cases can effectively improve the system stability, and the optimal motor suspension parameters in different cases are different. The direct state feedback control can reduce corresponding feed state's vibration amplitude. Suppressing the frame's vibration can significantly improve the running stability of bogie. However, suppressing the motor's displacement and velocity feedback are equivalent to increasing the motor lateral natural vibration frequency and damping, separately. The time delay over 10 ms in control system reduces significantly the system stability. At last, the effect of preset value for getting control gains on the system linear and nonlinear critical speed is studied.

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Figures

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Fig. 1

The dynamics model of high-speed train bogie with motor active flexible suspension

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Fig. 2

The motor suspension parameter optimization in different cases: (a) uncontrol, (b) case (1), (c) case (2), and (d) case (3)

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Fig. 3

The Pareto front in different control cases: (a) case (1), (b) case (2), and (c) case (3)

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Fig. 4

Bogie root locus in different control cases: (a) case (1), (b) partial enlarged view of (a), (c) case (2), (d) partial enlarged view of (c), (e) case (3), and (f) partial enlarged view of (e)

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Fig. 5

The system stability with different motor suspension parameters and running speed: (a) case (1), ξmy = 0.8, (b) case (1), fmy = 3 Hz, (c) case (2), ξmy = 0.3, (d) case (2), fmy = 3 Hz, (e) case (3), ξmy = 0.5, and (f) case (3), fmy =3 Hz

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Fig. 6

The system stability with different motor suspension parameters and yaw dumping: (a) case (1), ξmy = 0.8, (b) case (1), fmy = 3 Hz, (c) case (2), ξmy = 0.3, (d) case (2), fmy = 3 Hz, (e) case (3), ξmy = 0.5, and (f) case (3), fmy = 3 Hz

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Fig. 7

Bogie root locus with time delay of 15 ms in different control cases: (a) case (1), (b) partial enlarged view of (a), (c) case (2), (d) partial enlarged view of (c), (e) case (3), and (f) partial enlarged view of (e)

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Fig. 8

The system stability with different motor suspension parameters and time delay: (a) case (1), ξmy = 0.8, (b) case (1), fmy = 3 Hz, (c) case (2), ξmy = 0.3, (d) case (2), fmy = 3 Hz, (e) case (3), ξmy = 0.5, and (f) case (3), fmy = 3 Hz

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Fig. 9

The wheelset lateral displacement bifurcation curves about the running speed in different control conditions: (a) case (1), (b) case (1) with delay of 15 ms, (c) case (2), (d) case (2) with delay of 15 ms, (e) case (3), (f) case (3) with delay of 15 ms

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Fig. 10

The linear and nonlinear critical speed va, vc with different preset ζset in different cases: (a) case (1), (b) case (2), and (c) case (3)

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Fig. 11

The linear and nonlinear critical speed va, vc with different motor suspension parameters in different cases: (a) case (1), va, (b) case (1), vc, (c) case (2), va, (d) case (2), vc, (e) case (3), va, and (f) case (3), vc

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