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Review of Wheel-Rail Contact Models

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Mechatronic Modeling of Real-Time Wheel-Rail Contact

Abstract

This chapter describes the evolution of the theories for solving the wheel-rail contact problem. The determination of the forces acting between wheel and rail is definitely the most important question for the study of the dynamic behaviour of a railway vehicle. In fact, the wheel-rail contact forces provide several fundamental functions for the vehicle: the support action for the vehicle load, the guidance action during the change of direction and the application of traction and braking actions.

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References

  1. S. Iwnicki, A.H. Wickens, Validation of matlab vehicle simulation using a scaled test rig. Veh. Syst. Dyn. 30, 257–270 (1998)

    Article  Google Scholar 

  2. J.B. Ayasse, H. Chollet, Determination of the wheel rail contact patch for semi-Hertzian conditions. Veh. Syst. Dyn. 43(3), 159–170 (2005)

    Article  Google Scholar 

  3. J.J. Kalker, A fast algorithm for the simplified theory of rolling contact. Veh. Syst. Dyn. 11, 1–13 (1982)

    Article  Google Scholar 

  4. O. Polach, A fast wheel-rail forces calculation computer. Veh. Syst. Dyn. Suppl. 33, 728–739 (1999)

    Google Scholar 

  5. O. Polach, Creep forces in simulations of traction vehicles running on adhesion limit. Wear 258, 992–1000 (2005)

    Article  Google Scholar 

  6. A.D. de Pater, The motion of a railway wheelset supported by a pair of rollers as compared with the motion of such a wheelset along a tangent track, Report No 1012 Delft University of Technology, Delft, (1993)

    Google Scholar 

  7. A.D. de Pater, The geometrical contact between track and wheelset. Veh. Syst. Dyn. 17, 127–140 (1988)

    Article  Google Scholar 

  8. A.D. de Pater, The equations of motion of a simplified railway vehicle moving along a curved track and the simulation of an uneven tangent railway track by means of a roller rig, Report No. 1158 Delft University of Technology, Delft, (1997)

    Google Scholar 

  9. G. Schupp, C. Weidemann, L. Mauer, Modelling the Contact Between Wheel and Rail Within Multibody System Simulation. Veh. Syst. Dyn. 41(5), 349–364 (2004)

    Article  Google Scholar 

  10. M. Arnolda, K. Frischmuth, Solving problems with unilateral constraints by DAE methods. Math. Comput. Simul. 47, 47–67 (1998)

    Article  Google Scholar 

  11. E. Eich-Soellner, C. Führer, Numerical methods in multibody dynamics, ed. by B.G. Teubner, Stuttgart (1998)

    Google Scholar 

  12. J.J. Kalker, On the rolling contact of two elastic bodies in the presence of dry friction. Dissertation TH Delft, Delft (1967)

    Google Scholar 

  13. W. Klingel, Über den Lauf von Eisenbahnwagen auf gerader Bahn. Organ für die Fortschritte des Eisenbahnwesens, 20 (1883), pp. 113–123, Table XXI

    Google Scholar 

  14. F.C. Carter, On the action of a locomotive driving wheel, in Proceedings of the Royal Society of London, A112 (1926), pp. 151–157

    Google Scholar 

  15. K.L. Johnson, The effect of spin upon the rolling motion of an elastic sphere on a plane. J. Appl. Mech. 25 (1958) pp. 332–338

    Google Scholar 

  16. K.L. Johnson. The effect of a tangential contact force upon the rolling motion of an elastic sphere on a plane. J. Appl. Mech., 25 (1958) pp. 339–346

    Google Scholar 

  17. J. Vermeulen, K.L. Johnson, Contact of nonspherical elastic bodies transmitting tangential forces. J. Appl. Mech. 31, 338–340 (1964)

    Article  MATH  Google Scholar 

  18. D.J. Haines, O. Ollerton, Contact stress distribution on elliptical contact surface subjected to radial and tangential forces, in proceedings of first mechanical engineering, 177(95), pp. 261–265 (1963)

    Google Scholar 

  19. J.J. Kalker, A strip theory for rolling with slip and spin, in proceedings Kon. Ned. Akad. Van Wetenshappen, B70, 10 (1967)

    Google Scholar 

  20. J.J. Kalker, Three-dimensional elastic bodies in rolling contact Kluwer Academic Publishers, Dordrecht, (1990)

    MATH  Google Scholar 

  21. P. Wriggesr and P.D. Panagiotopoulos (ed.) A. Curnier, A. Klabring, M. Raous, P. Wriggers; New developments in contact problems, CISM course and lectures No. 384, Springer, Wien, NewYork (1999)

    Google Scholar 

  22. G. Fichera, Problemi elastostatici con vincoli unilaterale: il problema di Signorini con ambigue condizioni al contorno. Memorie Accademie Nazionale dei Lincei Ser. 8(7), 91–140 (1964)

    MathSciNet  Google Scholar 

  23. J.T. Oden, E.B. Pires, Nonlocal and nonlinear friction laws and variational principles for contact problems in elasticity. J. Appl. Mech. 50, 67–76 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  24. O. Polach, Influence of locomotive tractive effort on the forces between wheel and rail. Veh. Syst. Dyn. Suppl 35, 7–22 (2001)

    Google Scholar 

  25. K.L. Johnson; Contact mechanics, Cambridge University Press, Cambridge (1985)

    Google Scholar 

  26. J.J. Kalker, J. Piotrowski, Some new results in rolling contact. Veh. Syst. Dyn. 18, 223–242 (1989)

    Article  Google Scholar 

  27. L. Z. Li, Kalker J. J. The computation of wheel-rail conformal contact, computational mechanics, new trends and applications, ed by S. Idelsohm, E Onate and E Dvorkin, CIMME, Barcelona, Spain (1998)

    Google Scholar 

  28. D.A. Hills, D. Novell, A. Sackfield Mechanics of Elastic Contacts, Butterworth-Heinemann Ldt, (1993)

    Google Scholar 

  29. K. Knothe, R. Wille, B. Zastrau, Advanced contact mechanics: road and rail. Veh. Syst. Dyn 35(4–5), 361–407 (2001)

    Google Scholar 

  30. M. Sebesa, J. B. Ayasse, H. Chollet, P. Pouligny and B. Pirat; Application of a semi-Hertzian method to the simulation of vehicles in high-speed switches; Veh. Syst. Dyn. 44, Supplement 1, (2006)

    Google Scholar 

  31. P.D. Panagiotopoulos, A nonlinear programming approach to the unilateral contact and friction -boundary value problem in the theory of elasticity. Ing. Arch. 44, 421–432 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  32. P. Wriggesr and P.D. Panagiotopoulos, A. Curnier, A. Klabring, M. Raous, P. Wriggers. New developments in contact problems, CISM course and lectures No. 384, Springer Wien NewYork (1999)

    Google Scholar 

  33. J.P. Pascal, F. Jourdan, The rigid multi-hertzian method as applied to conformal Contacts in proceedings of ASME DETC 34379, Las Vegas, Nevada, USA (2007)

    Google Scholar 

  34. H. Chollet, M. Sebes and J B. Ayasse; Evolution from the hertzian contact model to non-hertzian conditions for fast dynamic simulations; IUTAM Bookseries, 3, 189–205 (2007)

    Google Scholar 

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Authors and Affiliations

  1. Ingegneria meccanica e aerospaziale, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129, Italy

    Nicola Bosso, Antonio Gugliotta & Aurelio Somà

  2. Central Queensland University, Centre for Railway Engineering, Building 70, Room 1.08, Rockhampton, 4702, Australia

    Maksym Spiryagin

Authors
  1. Nicola Bosso
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  2. Maksym Spiryagin
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  3. Antonio Gugliotta
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  4. Aurelio Somà
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Correspondence to Nicola Bosso .

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Bosso, N., Spiryagin, M., Gugliotta, A., Somà, A. (2013). Review of Wheel-Rail Contact Models. In: Mechatronic Modeling of Real-Time Wheel-Rail Contact. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36246-0_2

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  • DOI: https://doi.org/10.1007/978-3-642-36246-0_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36245-3

  • Online ISBN: 978-3-642-36246-0

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