Comparison of Wheel-Rail Contact Modelling in Multibody System Online Simulation

  • Binbin LiuEmail author
  • Stefano Bruni
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


The wheel-rail contact modelling is always an interesting topic in rail vehicle system dynamics simulation. Many contact models have been developed for different purposes, and each model has its own pros and cons for different applications. In multibody system (MBS) simulation of rail vehicles, the efficiency and accuracy of the wheel-rail contact model are of importance. It is the aim of this paper to compare in MBS online simulation one classical approach (Hertz theory+FASTSIM), one approximated non-Hertzian approach and the ‘exact’ solver CONTACT and show the influences of the contact modelling on the results of vehicle dynamics simulations.


Wheel-rail contact Vehicle dynamics Contact modelling Non-Hertzian contact 



This work was supported by the Open Project funded by the State Key Laboratory of Traction Power, Southwest Jiaotong University under Grant No. TPL1910.


  1. 1.
    Meymand, S.Z., Keylin, A., Ahmadian, M.: A survey of wheel–rail contact models for rail vehicles. Veh. Syst. Dyn. 54(3), 386–428 (2016)CrossRefGoogle Scholar
  2. 2.
    Shackleton, P., Iwnicki, S.: Comparison of wheel–rail contact codes for railway vehicle simulation: an introduction to the Manchester Contact Benchmark and initial results. Veh. Syst. Dyn. 46, 129–149 (2008)CrossRefGoogle Scholar
  3. 3.
    Vollebregt, E., Iwnicki, S., Xie, G., Shackleton, P.: Assessing the accuracy of different simplified frictional rolling contact algorithms. Veh. Syst. Dyn. 50, 1–17 (2012)CrossRefGoogle Scholar
  4. 4.
    Burgelman, N., Sichani, M.S., Enblom, R., Berg, M., Li, Z., Dollevoet, R.: Influence of wheel–rail contact modelling on vehicle dynamic simulation. Veh. Syst. Dyn. 53(8), 1190–1203 (2015)CrossRefGoogle Scholar
  5. 5.
    Kalker, J.J.: A fast algorithm for the simplified theory of rolling contact. Veh. Syst. Dyn. 11, 1–13 (1982)CrossRefGoogle Scholar
  6. 6.
    Kik, W., Piotrowski, J.: A fast, approximate method to calculate normal load at contact between wheel and rail and creep forces during rolling. In: Zobory, I. (ed.) Proceedings of 2nd Mini-Conference on Contact Mechanics and Wear of Rail/Wheel Systems (1996)Google Scholar
  7. 7.
    Piotrowski, J., Liu, B., Bruni, S.: The Kalker book of tables for non-Hertzian contact of wheel and rail. Veh. Syst. Dyn. 55(6), 875–901 (2017)CrossRefGoogle Scholar
  8. 8.
    Piotrowski, J., Bruni, S., Liu, B., De Gialleonardo, E.: A fast method for determination of creep forces in non-Hertzian wheel-rail contact based on a book of tables. Multibody Syst. Dyn. (2018).
  9. 9.
    Kalker, J.J.: Three-Dimensional Elastic Bodies in Rolling Contact. Kluwer Academic Publishers, Berlin (1990)CrossRefGoogle Scholar
  10. 10.
    Iwnicki, S. (ed.): The Manchester Benchmarks for Rail Vehicle Simulation. Supplement to Vehicle System Dynamics, vol. 31. Swets & Zeitlinger, Lisse (1999)Google Scholar
  11. 11.
    Schupp, G., Weidemann, C., Mauer, L.: Modelling the contact between wheel and rail within multibody system simulation. Veh. Syst. Dyn. 41(5), 349–364 (2004)CrossRefGoogle Scholar
  12. 12.
    Pascal, J.-P., Sany, J.R.: Dynamics of an isolated railway wheelset with conformal wheel–rail interactions. Veh. Syst. Dyn. (2019). Scholar
  13. 13.
    Di Gialleonardo, E., Braghin, F., Bruni, S.: The influence of track modelling options on the simulation of rail vehicle dynamics. J. Sound Vib. 331(19), 4246–4258 (2012)CrossRefGoogle Scholar
  14. 14.
    Vollebregt, E.A.H.: User guide for CONTACT, rolling and sliding contact with friction. Technical report TR09-03, version 17.1, VORtech BV, Delft, The Netherlands (2017).
  15. 15.
    Liu, B., Bruni, S., Vollebregt, E.: A non-Hertzian method for solving wheel–rail normal contact problem taking into account the effect of yaw. Veh. Syst. Dyn. 54(9), 1226–1246 (2016)CrossRefGoogle Scholar

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Dipartimento di MeccanicaPolitecnico di MilanoMilanItaly

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