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Research of inverse mathematical model to high-speed trains

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Abstract

Operation safety and stability of the train mainly depend on the interaction between the wheel and rail. Knowledge of wheel/rail contact force is important for vehicle control systems that aim to enhance vehicle stability and passenger safety. Since wheel/rail contact forces of high-speed train are very difficult to measure directly, a new estimation process for wheel/rail contact forces was introduced in this work. Based on the state space equation, dynamic programming methods and the Bellman principle of optimality, the main theoretical derivation of the inversion mathematical model was given. The new method overcomes the weakness of large fluctuations which exist in current inverse techniques. High-speed vehicle was chosen as the research object, accelerations of axle box as input conditions, 10 degrees of freedom vertical vibration model and 17 degrees of freedom lateral vibration model were established, respectively. Under 250 km/h, the vertical and lateral wheel/rail forces were identified. From the time domain and frequency domain, the comparison of the results between inverse and SIMPACK models were given. The results show that the inverse mathematical model has high precision for inversing the wheel/rail contact forces of an operation high-speed vehicle.

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References

  1. EVANS J, BERG M. Challenges in simulation of rail vehicle dynamics [J]. Vehicle System Dynamics, 2009, 47(8): 1023–1048.

    Article  Google Scholar 

  2. XIA F, COLE C, WOLFS P. A method for setting wagon speed restrictions based on wagon responses [J]. Vehicle System Dynamics (Supplement), 2006(44): 424–432.

    Google Scholar 

  3. LECHOWICZ S, HUNT C. Monitoring and managing wheel condition and loading [C]// Proceeding of International Symposium for Transportation Recorders. Arlington, 1999: 205–239.

    Google Scholar 

  4. NIELSEN J. JOHANSSON A. Out of round railway wheels: Literature survey [C]// Proceedings of the Institute of Mechanical Engineers-Part F, London, 2002: 79–91.

    Google Scholar 

  5. CHUDZIKIEWICZ A. Selected elements of the contact problems necessary for investigating the rail vehicle system [C]// KISILOWSKI J, KNOTHE K, ed. Advanced Railway Vehicle System Dynamics, WNT, Warszawa, 1991: 97–108.

    Google Scholar 

  6. CHUDZIKIEWICZ A. Elements of vehicle diagnostics [M]. Radom: ITE, 2002: 30–36.

    Google Scholar 

  7. LAW S S, CHAN T H T. Moving force identification: A time domain method [J]. Journal of Sound and Vibration, 1997, 201(1): 1–22.

    Article  Google Scholar 

  8. NORDSTRÖM L. Load identification using time domain methods [D]. Gothenburg: Chalmers University of Technology, 2003.

    Google Scholar 

  9. UHL T. Identification of operational loading forces for mechanical structures [C]// Proceedings of the 11th World Congress in Mechanism and Machine Science. Tianjin, China, 2004: 1–5.

    Google Scholar 

  10. UHL T. The inverse identification problem and its technical application [J]. Arch Appl Mech, 2007(77): 325–337

    Article  MATH  Google Scholar 

  11. XIA F, BLEAKLEY S, WOLFS P. The estimation of wheel rail interaction forces from wagon accelerations [C]// 4th Australasian Congress on Applied Mechanics, Institute of Materials Engineering Australasia Ltd, 2005: 333–338.

    Google Scholar 

  12. XIA F, COLE C, WOLFS P. An inverse railway wagon model and its applications [J]. Vehicle System Dynamics, 2007, 45(6): 583–605.

    Article  Google Scholar 

  13. XIA F, COLE C, WOLFS P. Grey box-based inverse wagon model to predict wheel-rail contact forces from measured wagon body responses [J]. Vehicle System Dynamics (Supplement), 2008(46): 469–479

    Article  Google Scholar 

  14. HAMED R, HÅKAN J. A numerical framework for load identification with application to wheel-rail contact forces [C]// ECCOMAS International Symposium IPM, Ischia, 2009: 78–87.

    Google Scholar 

  15. TRUJILLO D M, BUSBY H R. Practical inverse analysis in engineering [M]. Boca Raton, FL: CRC Press LLC, 1997: 19–41.

    Google Scholar 

  16. BELLMAN R. Dynamic programming [M]. Princeton, NJ, Princeton University Press, 1957: 136–152.

    Google Scholar 

  17. HANSEN P C. Analysis of discrete ill-posed problems by means of the L-curve [J]. SIAM Rev, 1992(34): 561–580.

    Google Scholar 

  18. ZUO Y Y, XIANG J. Correlation analysis of track irregularities of Zhengzhou-Wuhan railway [J]. Journal of Railway Science and Engineering, 2006, 3(1): 46–49. (in Chinese)

    Google Scholar 

  19. ZHAI W M. Vehicle-track coupling dynamics [M]. Beijing: China Railway Publishing House, 2001: 17–23.

    Google Scholar 

  20. MA W H, LUO S H. Influence of the orientation stiffness of tumbler journal box to the stability of high speed vehicles[C]// 2010 International Conference on Computer Design and Applications. Qinhuangdao, China, 2010: 282–286.

    Google Scholar 

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Correspondence to Tao Zhu  (朱涛).

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Foundation item: Project(2009BAG12A04-A11) supported by the National Key Technology R&D Program in the “11-th Five-year Plan” of China; Projects(51275432, 51005190) supported by the National Natural Science Foundation of China; Project(SWJTU09ZT23) supported by University Doctor Academics Particularly Science Research Fund, China

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Zhu, T., Xiao, Sn., Ma, Wh. et al. Research of inverse mathematical model to high-speed trains. J. Cent. South Univ. 21, 428–438 (2014). https://doi.org/10.1007/s11771-014-1956-x

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  • DOI: https://doi.org/10.1007/s11771-014-1956-x

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