Prediction of Vertical Dynamic Vehicle–Track Interaction and Sleeper–Ballast Contact Pressure in a Railway Crossing

Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


The vertical dynamic vehicle–track interaction in a railway crossing is simulated in the time domain based on a moving Green’s function approach in combination with an implementation of Kalker’s variational method to solve the non-Hertzian, and potentially multiple, wheel–rail contact. The method is demonstrated by calculating the wheel–rail impact load and the sleeper–ballast contact pressure for a hollow-worn wheel profile passing over a nominal crossing geometry.


Railway crossing Dynamic vehicle–track interaction Green’s functions Differential settlement Mitigation measures 


  1. 1.
    Dahlberg, T.: Some railroad settlement models - a critical review. Proc. Inst. Mech. Eng. Part F: J. Rail Rapid Transit 215(4), 289–300 (2001)CrossRefGoogle Scholar
  2. 2.
    Pålsson, B.A.: Optimisation of railway crossing geometry considering a representative set of wheel profiles. Veh. Syst. Dyn. 53(2), 274–301 (2015)CrossRefGoogle Scholar
  3. 3.
    Wan, C., Markine, V.L., Shevtsov, I.Y.: Improvement of vehicle-turnout interaction by optimising the shape of crossing nose. Veh. Syst. Dyn. 52(11), 1517–1540 (2014)CrossRefGoogle Scholar
  4. 4.
    Kassa, E., Nielsen, J.C.O.: Dynamic interaction between train and railway turnout: full-scale field test and validation of simulation models. Veh. Syst. Dyn. 46(suppl 1), 521–534 (2008)CrossRefGoogle Scholar
  5. 5.
    Pålsson, B.A., Nielsen, J.C.O.: Dynamic vehicle-track interaction in switches and crossings and the influence of rail pad stiffness - field measurements and validation of a simulation model. Veh. Syst. Dyn. 53(6), 734–755 (2015)CrossRefGoogle Scholar
  6. 6.
    Johansson, A., Nielsen, J.C.O., Bolmsvik, R., Karlström, A., Lundéen, R.: Under sleeper pads-Influence on dynamic train-track interaction. Wear 265(9–10), 1479–1487 (2008)CrossRefGoogle Scholar
  7. 7.
    Grossoni, I., Bezin, Y., Neves, S.: Optimisation of support stiffness at railway crossings. Veh. Syst. Dyn. 56, 1072–1096 (2017)CrossRefGoogle Scholar
  8. 8.
    Li, X., Nielsen, J.C.O., Pålsson, B.A.: Simulation of track settlement in railway turnouts. Veh. Syst. Dyn. 52(supp1), 421–439 (2014)CrossRefGoogle Scholar
  9. 9.
    Påalsson, B.A.: Optimisation of railway switches and crossings. Ph.D. thesis. Department of Applied Mechanics, Chalmers University of Technology, Gothenburg, Sweden (2014)Google Scholar
  10. 10.
    Pascal, J.P., Sauvage, G.: Available methods to calculate the wheel/rail forces in non-hertzian contact patches and rail damaging. Veh. Syst. Dyn. 22(3–4), 263–275 (1993)CrossRefGoogle Scholar
  11. 11.
    Piotrowski, J., Kik, W.: A simplified model of wheel/rail contact mechanics for non-Hertzian problems and its application in rail vehicle dynamics. Veh. Syst. Dyn. 46(1–2), 27–48 (2008)CrossRefGoogle Scholar
  12. 12.
    Ayasse, J.B., Chollet, H.: Determination of the wheel rail contact patch in semi-Hertzian conditions. Veh. Syst. Dyn. 43(3), 161–172 (2005)CrossRefGoogle Scholar
  13. 13.
    Kalker, J.J.: Contact mechanical algorithms. Commun. Appl. Numer. Methods 4(1), 25–32 (1988)MathSciNetCrossRefGoogle Scholar
  14. 14.
    Nordborg, A.: Wheel/rail noise generation due to nonlinear effects and parametric excitation. J. Acoust. Soc. Am. 111(4), 1772–1781 (2002)CrossRefGoogle Scholar
  15. 15.
    Mazilu, T.: Interaction between moving tandem wheels and an infinite rail with periodic supports - Green’s matrices of the track method in stationary reference frame. J. Sound Vib. 401, 233–254 (2017)CrossRefGoogle Scholar
  16. 16.
    Pieringer, A.: A numerical investigation of curve squeal in the case of constant wheel/rail friction. J. Sound Vib. 333(18), 4295–4313 (2014)CrossRefGoogle Scholar
  17. 17.
    Andersson, R., Torstensson, P.T., Kabo, E., Larsson, F.: An efficient approach to the analysis of rail surface irregularities accounting for dynamic train-track interaction and inelastic deformations. Veh. Syst. Dyn. 53(11), 1667–1685 (2015)CrossRefGoogle Scholar
  18. 18.
    Li, X., Torstensson, P.T., Nielsen, J.C.O.: Simulation of vertical dynamic vehicle-track interaction in a railway crossing using Green’s functions. J. Sound Vib. 410, 318–329 (2017)CrossRefGoogle Scholar
  19. 19.
    Pieringer, A.: Time-domain modelling of high-frequency wheel/rail interaction. Ph.D. thesis. Department of Civil and Environmental Engineering, Division of Applied Acoustics & Vibroacoustic Group, Chalmers University of Technology, Gothenburg, Sweden (2011)Google Scholar
  20. 20.
    Bolmsvik, R., Nielsen, J.C.O., Kron, P., Pålsson, B.A.: Switch sleeper specification. Technical report 2010-03, p. 54. Department of Applied Mechanics, Chalmers University of Technology, Gothenburg, Sweden (2010)Google Scholar
  21. 21.
    Abrahamsson, T.J.S.: Modal analysis and synthesis in transient vibration and structural optimization problems". Ph.D. thesis. Department of Solid Mechanics, Chalmers University of Technology, Gothenburg, Sweden (1990)Google Scholar
  22. 22.
    Pieringer, A., Kropp, W.A., Thompson, D.J.: Investigation of the dynamic contact filter effect in vertical wheel/rail interaction using a 2D and a 3D non-Hertzian contact model. Wear 271(1–2), 328–338 (2011)CrossRefGoogle Scholar
  23. 23.
    Li, X., Nielsen, J.C.O., Torstensson, P.T.: Simulation of wheel–rail impact loads and measures to reduce differential track settlement in railway crossings. Submitted for International Publication (2019)Google Scholar

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Mechanics and Maritime Sciences/CHARMECChalmers University of TechnologyGothenburgSweden
  2. 2.Swedish National Road and Transport Research Institute VTIGothenburgSweden

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