Analytical model of wheel-rail contact force due to the passage of a railway vehicle on a curved track


  • Jesús Otero-Yugat Universidad Politécnica de Cataluña
  • Jordi Martínez-Miralles Universidad Politécnica de Cataluña
  • María De los Santos Universidad Politécnica de Cataluña


Wheel-rail contact, curved tracks, characterization of the track


The relationship between the displacements of the wheel contained within the plane of wheel-rail contact and present during the movement of a train on curved tracks is one of the most important problems of the dynamic railway, modeling through a complex and nonlinear physical phenomenon. In order to analyze the dynamics of a coach that moves along a curve, a global model has been developed which includes the characterization of the track and the fixations, stiffness and damping of the bogie and the identification of global conditions in the wheel-rail contact area. The present article describes an analytical formulation that allows the estimation of the dynamic state due to the passage of a railway vehicle, summarizing the results and simulations derived from the application of that model, under the consideration that the contact between wheel and rail is constant, and thus the turn of the wheelset is due to the path tread.
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F. W. Carter. “On the action of a locomotive driving wheel”. Proceedings of the Royal Society of London. Series A. Vol. 112. 1926. pp. 151-157.

K. L. Johnson. “The effect of a tangential force upon the rolling motion of an elastic sphere upon a plane”. Journal of Applied Mechanics. Vol. 25. 1958. pp. 339- 346.

E. Ollerton, R. Pigott. “Experimental determination of adhesion and slip areas in rolling contact”. The Journal of Strain Analysis for Engineering Design. Vol. 5. 1970. pp. 193-199.

F. Al-Bender, K. De Moerlooze. “A model of the transient behavior of tractive rolling contacts”. Advances in Tribology. 2008. pp. 1-17.

J. J. Kalker. On the rolling contact for two elastic bodies in the presence of dry friction. PhD Thesis. Delft University of Technology. Netherlands. 1967.

J. J. Kalker. Three dimensional elastic bodies in rolling contact. Ed. Kluwer Academic, Dordrecht, 1990. pp. 50-99.

T. X. Wu, D. J. Thompson. “A hybrid model for the noise generation due to railway wheel flats”. Journal of Sound and Vibration. Vol. 251. 2002. pp. 115-139.

J. Otero, J. Martínez, M. A. De los Santos, S. Cardona. “Modelo global de la dinámica de contacto rueda-carril para determinar la vibración de un punto del carril al paso de un tren”. Scientia et Technica. Vol. 13. 2007. pp. 207-212.

W. Yan, F. D. Fischer. “Applicability of the Hertz contact theory to rail-wheel contact problems”. Archive of Applied Mechanics. Vol. 70. 2000. pp. 255-268.

P. J. Vermeulen, K. L. Johnson. “Contact of nonspherical bodies transmitting tangential forces”. Journal of Applied Mechanics. Vol. 31. 1964. pp. 338- 340.

T. Szolc. “Medium frequency dynamic investigation of the railway wheelset-track system using a discretecontinuous model”. Archive of Applied Mechanics. Vol. 68. 1998. pp. 30-45.

T. Szolc. “Simulation of dynamic interaction between the railway bogie and the track in the medium frequency range”. Multibody System Dynamics. Vol. 6. 2001. pp. 99-122.

X. Jin, Z. Wen, X. Xiao, Z. Zhou. “A numerical method for prediction of curved rail wear”. Multibody System Dynamics. Vol. 18. 2007. pp. 531-557.

S. Cardona, E. Fernández-Díaz. Programa para monitorizar las vibraciones producidas por los trenes de Ferrocarriles Metropolitanos de Barcelona, para estimar el estado general de mantenimiento de los bogies. Convenio FCMB – UPC. 1996. pp. 2-20.

E. Fernández-Díaz, Contribución al estudio de la detección y el análisis de las vibraciones producidas por los bogies de un ferrocarril. Tesis Doctoral. Universidad Politécnica de Catalunya. 2000.



How to Cite

Otero-Yugat, J., Martínez-Miralles, J., & De los Santos, M. (2013). Analytical model of wheel-rail contact force due to the passage of a railway vehicle on a curved track. Revista Facultad De Ingeniería Universidad De Antioquia, (50), 135–144. Retrieved from