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Improved lateral-dynamics-intended railway vehicle model involving nonlinear wheel/rail interaction and car body flexibility

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Abstract

To study the vehicle hunting behavior and its coupling with car body vibrations, a simplified lateral-dynamics-intended railway vehicle model is developed. A two-truck vehicle is modeled as a 17 degrees-of-freedom rigid system, into which the car body flexural vibrations of torsion and bending modes are further integrated. The wheel/rail interaction employs a real-time calculation for the Hertzian normal contact, in which the nonlinear curvatures of wheel and rail profiles are presented as functions of wheelset lateral movement and/or yaw rotation. Then the tangential/creep forces are analytically expressed as the Hertzian contact patch geometry, and lead to a continuous and fast calculation compared to a look-up table interpolation. It is shown that the hunting frequencies of the vehicle model and a truck model differ significantly, which verifies the necessity of the whole vehicle model. In the case of low wheel/rail conicity, the hunting frequency increases linearly with vehicle speed, whereas it rises slowly at high speed for a large conicity. Comparison of hunting frequency and damping ratio between various conicities shows that first hunting (car body hunting) may occur when the vehicle is operated at a low speed in a small conicity case, while a second hunting (truck hunting) appears when the vehicle is operated at a high speed in a large conicity case. Stability analysis of linear and nonlinear vehicle models was carried out through coast down method and constant speed simulations. Results tell that the linear one overestimates the lateral vibrating. Whereas the structural vibrations of car body can be ignored in the stability analysis. Compared to existing simplified models for hunting stability study, the proposed simplified vehicle model released limitations in the nonlinear geometries of wheel/rail profiles, and it is suitable for a frequency-domain analysis by deriving the analytical expressions of the normal and tangential wheel/rail contact forces.

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References

  1. Shi, H., Wu, P.: Flexible vibration analysis for car body of high-speed EMU. J. Mech. Sci. Technol. 30, 55–66 (2016). https://doi.org/10.1007/s12206-015-1207-6

    Article  Google Scholar 

  2. Wei, L., Zeng, J., Chi, M., et al.: Carbody elastic vibrations of high-speed vehicles caused by truck hunting instability. Veh. Syst. Dyn. 55, 1321–1342 (2017). https://doi.org/10.1080/00423114.2017.1310386

    Article  Google Scholar 

  3. Shi, H., Wang, J., Wu, P., et al.: Field measurements of the evolution of wheel wear and vehicle dynamics for high-speed trains. Veh. Syst. Dyn. 56, 1187–1206 (2018). https://doi.org/10.1080/00423114.2017.1406963

    Article  Google Scholar 

  4. Luo, R., Shi, H.: Dynamics of Railway Vehicle Systems and Application. Southwest Jiaotong University Press, Chengdu (2018). (in Chinese)

    Google Scholar 

  5. Yan, Y., Zeng, J., Huang, C., et al.: Bifurcation analysis of railway truck with yaw damper. Arch. Appl. Mech. 89, 1185–1199 (2019). https://doi.org/10.1007/s00419-018-1475-6

    Article  Google Scholar 

  6. Knothe, K., Stichel, S.: Rail Vehicle Dynamics. Springer Nature, Switzerland (2016)

    Google Scholar 

  7. Polach, O.: Characteristic parameters of nonlinear wheel/rail contact geometry. Veh. Syst. Dyn. 48, 19–36 (2010). https://doi.org/10.1080/00423111003668203

    Article  Google Scholar 

  8. Shi, H., Luo, R., Wu, P., et al.: Application of DVA theory in vibration reduction of carbody with suspended equipment for high-speed EMU. Sci. China Technol. Sci. 57, 1425–1438 (2014). https://doi.org/10.1007/s11431-014-5558-5

    Article  Google Scholar 

  9. Antunes, P., Magalhães, H., Ambrosio, J., et al.: A co-simulation approach to the wheel–rail contact with flexible railway track. Multibody Syst. Dyn. 45, 245–272 (2019). https://doi.org/10.1007/s11044-018-09646-0

    Article  MathSciNet  Google Scholar 

  10. Zhai, W., Xia, H., Cai, C., et al.: High-speed train-track-bridge dynamic interactions - part I: theoretical model and numerical simulation. Int. J. Rail Trans. 1, 3–24 (2013). https://doi.org/10.1080/23248378.2013.791498

    Article  Google Scholar 

  11. Ling, L., Zhang, Q., Xiao, X., et al.: Integration of car-body flexibility into train-track coupling system dynamics analysis. Veh. Syst. Dyn. 56, 485–505 (2018). https://doi.org/10.1080/00423114.2017.1391397

    Article  Google Scholar 

  12. Zhao, Y., Si, L.T., Ouyang, H.: Combined approach for analysing evolutionary power spectra of a track-soil system under moving random loads. Acta Mech. Sin. 35, 674–690 (2019). https://doi.org/10.1007/s10409-019-00842-5

    Article  MathSciNet  Google Scholar 

  13. Dumitriu, M.: A new passive approach to reducing the carbody vertical bending vibration of railway vehicles. Veh. Syst. Dyn. 55, 1787–1806 (2017). https://doi.org/10.1080/00423114.2017.1330962

    Article  Google Scholar 

  14. Zheng, X., Zolotas, A.C., Goodall, R.M., et al.: Combined active suspension and structural damping control for suppression of flexible bodied railway vehicle vibration. Veh. Syst. Dyn. 58, 198–228 (2020). https://doi.org/10.1080/00423114.2019.1572902

    Article  Google Scholar 

  15. Huang, C., Zeng, J., Luo, G., et al.: Numerical and experimental studies on the car body flexible vibration reduction due to the effect of car body-mounted equipment. Proc. IMechE Part F 232, 103–120 (2018). https://doi.org/10.1177/0954409716657372

    Article  Google Scholar 

  16. Gong, D., Zhou, J., Sun, W.: Passive control of railway vehicle car body flexural vibration by means of underframe dampers. J. Mech. Sci. Technol. 31, 555–564 (2017). https://doi.org/10.1007/s12206-017-0108-2

    Article  Google Scholar 

  17. Wen, Y., Sun, Q., Zou, Y., et al.: Study on the vibration suppression of a flexible carbody for urban railway vehicles with a magnetorheological elastomer-based dynamic vibration absorber. Proc. IMechE Part F 234, 749–764 (2020). https://doi.org/10.1177/0954409719865370

    Article  Google Scholar 

  18. Tomioka, T., Takigami, T.: Reduction of bending vibration in railway vehicle carbodies using carbody-bogie dynamic interaction. Veh. Syst. Dyn. 48, 467–486 (2010). https://doi.org/10.1080/00423114.2010.490589

    Article  Google Scholar 

  19. Guo, J., Shi, H., Luo, R., et al.: Parametric analysis of the car-body suspended equipment for railway vehicles vibration reduction. IEEE Access 7, 88116–88125 (2019). https://doi.org/10.1109/ACCESS.2019.2918777

    Article  Google Scholar 

  20. Schandl, G., Lugner, P., Benatzky, C., et al.: Comfort enhancement by an active vibration reduction system for a flexible railway car body. Veh. Syst. Dyn. 45, 835–847 (2007). https://doi.org/10.1080/00423110601145952

    Article  Google Scholar 

  21. Bokaeian, V., Rezvani, M.A., Arcos, R.: The coupled effects of bending and torsional flexural modes of a high-speed train car body on its vertical ride quality. Proc. IMechE Part K 233, 979–993 (2019). https://doi.org/10.1177/1464419319856191

    Article  Google Scholar 

  22. Lee, S.Y., Cheng, Y.C.: Hunting stability analysis of high-speed railway vehicle trucks on tangent tracks. J. Sound Vib. 282, 881–898 (2005). https://doi.org/10.1016/j.jsv.2004.03.050

    Article  Google Scholar 

  23. Cheng, Y.C., Lee, S.Y., Chen, H.H.: Modeling and nonlinear hunting stability analysis of high-speed railway vehicle moving on curved tracks. J. Sound Vib. 324, 139–160 (2009). https://doi.org/10.1016/j.jsv.2009.01.053

    Article  Google Scholar 

  24. Wu, X., Chi, M.: Parameters study of Hopf bifurcation in railway vehicle system. J. Comput. Nonlinear Dyn. 10, 031012 (2015). https://doi.org/10.1115/1.4027683

    Article  Google Scholar 

  25. Zhang, T., Dai, H.: Loss of stability of a railway wheel-set, subcritical or supercritical. Veh. Syst. Dyn. 55, 1731–1747 (2017). https://doi.org/10.1080/00423114.2017.1319963

    Article  Google Scholar 

  26. von Wagner, U.: Nonlinear dynamic behaviour of a railway wheelset. Veh. Syst. Dyn. 47, 627–640 (2009). https://doi.org/10.1080/00423110802331575

    Article  Google Scholar 

  27. Ahmadian, M., Yang, S.: Effect of system nonlinearities on locomotive truck hunting stability. Veh. Syst. Dyn. 29, 365–384 (1998). https://doi.org/10.1080/00423119808969380

    Article  Google Scholar 

  28. Zeng, J., Wu, P.: Stability analysis of high speed railway vehicles. JSME Int J. Ser. C 47, 464–470 (2004). https://doi.org/10.1299/jsmec.47.464

    Article  Google Scholar 

  29. Fu, B., Giossi, R.L., Persson, R., et al.: Active suspension in railway vehicles: a literature survey. Railway Eng. Sci. 28, 3–35 (2020). https://doi.org/10.1007/s40534-020-00207-w

    Article  Google Scholar 

  30. Shabana, A.A., Zaazaa, K.E., Sugiyama, H.: Railroad Vehicle Dynamics: A Computational Approach. CRC Press, Boca Raton (FL) (2008)

    MATH  Google Scholar 

  31. Pombo, J., Ambrósio, J., Silva, M.: A new wheel–rail contact model for railway dynamics. Veh. Syst. Dyn. 45, 165–189 (2007). https://doi.org/10.1080/00423110600996017

    Article  Google Scholar 

  32. Pappalardo, C.M., Desimone, M.C., Guida, D.: Multibody modeling and nonlinear control of the pantograph/catenary system. Arch. Appl. Mech. 89, 1589–1626 (2019). https://doi.org/10.1007/s00419-019-01530-3

    Article  Google Scholar 

  33. Sun, J., Chi, M., Cai, W., et al.: Numerical investigation into the critical speed and frequency of the hunting motion in railway vehicle system. Math. Probl. Eng. (2019). https://doi.org/10.1155/2019/7163732

    Article  MathSciNet  MATH  Google Scholar 

  34. Iwnicki, S., Spiryagin, M., Cole, C., et al.: Handbook of Railway Vehicle Dynamics, 2nd edn. CRC Press, Boca Raton (2019)

    Book  Google Scholar 

  35. Ling, L., Jiang, P., Wang, K., et al.: Nonlinear stability of rail vehicles traveling on vibration-attenuating slab tracks. J. Comput. Nonlinear Dyn. 15, 071005 (2020). https://doi.org/10.1115/1.4047087

    Article  Google Scholar 

  36. Shen, Z., Hedrick, J.K., Elkins, J.A.: A comparison of alternative creep force models for rail vehicle dynamic analysis. Veh. Syst. Dyn. 12, 79–83 (1983). https://doi.org/10.1080/00423118308968725

    Article  Google Scholar 

  37. Escalona, J.L., Aceituno, J.F.: Multibody simulation of railway vehicles with contact lookup tables. Int. J. Mech. Sci. 155, 571–582 (2019). https://doi.org/10.1016/j.ijmecsci.2018.01.020

    Article  Google Scholar 

  38. Huang, C., Zeng, J., Liang, S.: Influence of system parameters on the stability limit of the undisturbed motion of a motor bogie. Proc. IMechE Part F 228, 522–534 (2014). https://doi.org/10.1177/0954409713488099

    Article  Google Scholar 

  39. Yao, Y., Li, G., Sardahi, Y., et al.: Stability enhancement of a high-speed train bogie using active mass inertial actuators. Veh. Syst. Dyn. 57, 389–407 (2019). https://doi.org/10.1080/00423114.2018.146977

    Article  Google Scholar 

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Acknowledgments

The project was supported by the National Natural Science Foundation of China (Grants 51805451, U1934202, and U2034210), the Sichuan Science and Technology Plan Project (Grant 2020YJ0074), the Fundamental Research Funds for the Central Universities (Grant 2682019CX43), and the TPL Independent R&D Project (Grants 2018TPL_T08 and 2019TPL_T15).

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Authors and Affiliations

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

    Huailong Shi, Ren Luo & Jinying Guo

  2. School of Automobile and Transportation, Chengdu Technological University, Chengdu, 611730, China

    Jinying Guo

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  1. Huailong Shi
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  2. Ren Luo
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Correspondence to Huailong Shi.

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Executive Editor: Qiang Tian

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Shi, H., Luo, R. & Guo, J. Improved lateral-dynamics-intended railway vehicle model involving nonlinear wheel/rail interaction and car body flexibility. Acta Mech. Sin. 37, 997–1012 (2021). https://doi.org/10.1007/s10409-021-01059-1

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