Application of a wheel–rail contact model to railway dynamics in small radius curved tracks

Kalker, J.J.: Three-Dimensional Elastic Bodies in Rolling Contact. Kluwer Academic, Dordrecht (1990)

Johnson, K.L.: Contact Mechanics. Cambridge University Press, Cambridge (1985)

Kik, W., Piotrowski, J.: A fast, approximate method to calculate normal load at contact between wheel and rail and creep forces during rolling. In: Zabory, I. (ed.) 2nd Mini Conference on Contact Mechanics and Wear of Rail/Wheel System, TU Budapest, Hungary (1996)

Shen, Z.Y., Hedrick, J.K., Elkins, J.A.: A comparison of alternative creep force models for rail vehicle dynamic analysis. In: Hedrick, J.K. (ed.) 8th IAVSD Symposium on Dynamics of Vehicles on Road and Tracks, pp. 591–605. Swets and Zeitlinger, Cambridge (1983)

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

Kalker, J.J.: Survey of wheel–rail rolling contact theory. Veh. Syst. Dyn. 8(4), 317–358 (1979)

Kalker, J.J.: Wheel-rail rolling contact theory. J. Wear 144, 243–261 (1991)

Kalker, J.J.: Introduction to the Fortran IV program DUVOROL and CONTACT for the solution of 3D elastostatic half-space contact problems with and without friction. Technical Report of the Department of Mathematics and Informatics No. 82-29, Delft University of Technology, Delft, The Netherlands (1982)

Kalker, J.J.: Book of tables for the hertzian creep-force law. Report of the Faculty of Technical Mathematics and Informatics No. 96-61, Delft University of Technology, Delft, The Netherlands (1996)

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

Shabana, A.A., Zaazaa, K.E., Escalona, J.L., Sany, J.R.: Dynamics of the wheel/rail contact using a new elastic force model. Technical Report #MBS02-3-UIC, Department of Mechanical Engineering, University of Illinois, Chicago (2002)

Shabana, A.A., Zaazaa, K.E., Escalona, J.L., Sany, J.R.: Modeling two-point wheel/rail contacts using constraint and elastic-force approaches. In: Proceedings of the IMECE’02: 2002 ASME International Mechanical Engineering Congress and Exposition, New Orleans, Louisiana, 17–22 November 2002

Pombo, J., Ambrósio, J., Silva, M.: A new wheel–rail contact model for railway dynamics. Veh. Syst. Dyn. 45(2), 165–189 (2007)

Pombo, J., Ambrósio, J.: A multibody methodology for railway dynamics applications. Technical Report IDMEC/CPM—2004/003, IDMEC—Institute of Mechanical Engineering, Instituto Superior Técnico, Lisbon, Portugal (2004)

Lankarani, H.M., Nikravesh, P.E.: A contact force model with hysteresis damping for impact analysis of multibody systems. AMSE J. Mech. Des. 112, 369–376 (1990)

Lankarani, H.M., Nikravesh, P.E.: Continuous contact force models for impact analysis in multibody systems. Nonlinear Dyn. 5, 193–207 (1994)

Kalker, J.J.: Simplified theory of rolling contact. In: Progress Report Series C: Mechanical and Aeronautical Engineering and Shipbuilding, vol. 1, pp. 1–10. Delft University of Technology, Delft (1973)

Kalker, J.J.: The computation of three-dimensional rolling contact with dry friction. Numer. Method. Eng. 14(9), 1293–1307 (1979)

Pombo, J., Ambrósio, J.: General spatial curve joint for rail guided vehicles: kinematics and dynamics. Multibody Syst. Dyn. 9, 237–264 (2003)

Pombo, J., Ambrósio, J.: Development of a roller coaster model. In: Schiehlen, W., Valasek, M. (eds.) Proceedings of the NATO-ASI on Virtual Nonlinear Multibody Systems, vol. 2, pp. 195–203. Prague, Czech Republic, 23 June–3 July 2002

Pombo, J., Ambrósio, J.: Development of a roller coaster model. In: Goicolea, J. et al. (eds.) Proceedings of the Métodos Numéricos en Ingeniería V, SEMNI, Madrid, Spain, 3–6 June 2002

Nikravesh, P.E.: Computer-Aided Analysis of Mechanical Systems. Prentice-Hall, Englewood Cliffs, New Jersey (1988)

Mortenson, M.E.: Geometric Modeling. Wiley, New York (1985)

Pombo, J., Ambrósio, J.: A general track model for rail guided vehicles dynamics. In: Barbosa, J.I. (ed.) Proceedings of the VII Congresso de Mecânica Aplicada e Computacional, vol. 2, pp. 47–56. Évora, Portugal, 14–16 April 2003

Pombo, J., Ambrósio, J.: A wheel–rail contact model for rail guided vehicles dynamics. In: Ambrósio, J. (ed.) Proceedings of the ECCOMAS Thematic Conference on Advances in Computational Multibody Dynamics, Lisbon, Portugal, 1–4 July 2003

Berzeri, M., Sany, J.R., Shabana, A.A.: Curved track modeling using the absolute nodal coordinate formulation. Technical Report #MBS00-4-UIC, Department of Mechanical Engineering, University of Illinois, Chicago (2000)

De Boor, C.: A Practical Guide to Splines. Springer, New York (1978)

Visual Numerics, Inc. In: IMSL Fortran 90 Math Library 4.0—Fortran Subroutines for Mathematical Applications. Huston, Texas (1997)

Irvine, L.D., Marin, S.P., Smith, P.W.: Constrained interpolation and smoothing. Constr. Approx. 2, 129–151 (1986)

Micchelli, C.A., Smith, P.W., Swetits, J., Ward, J.D.: Constrained Lp approximation. Constr. Approx. 1, 93–102 (1985)

Kassa, E., Andersson, C., Nielsen, J.: Simulation of dynamic interaction between train and railway turnout. Veh. Syst. Dyn. 44(3), 247–258 (2006)

Shabana, A.A., Berzeri, M., Sany, J.R.: Numerical procedure for the simulation of wheel/rail contact dynamics. J. Dyn. Syst. Meas. Control Trans. ASME 123(2), 168–178 (2001)

Johansson, A., Andersson, C.: Out-of-round railway wheels—a study of wheel poligonization through simulation of three-dimensional wheel–rail interaction and wear. Veh. Syst. Dyn. 43(8), 539–559 (2005)

Pombo, J., Ambrósio, J.: Dynamic analysis of railway vehicles. In: Soares, C.M., et al. (eds.) Proceedings of the VIII Congresso de Mecânica Aplicada e Computacional APMTAC, SEMNI, Lisbon, Portugal, 31 May–2 June 2004

Pombo, J., Ambrósio, J.: A computational efficient general wheel–rail contact detection method. J. Mech. Sci. Technol. 19(1), 411–421 (2005), the separate volume of KSME International Journal, Special Edition

Roberson, R.E., Schwertassek, R.: Dynamics of Multibody Systems. Springer, Berlin (1988)

Andersson, E., Berg, M., Stichel, S.: Rail Vehicle Dynamics, Fundamentals and Guidelines. Royal Institute of Technology (KTH), Stockholm (1998)

Quost, X., Sebes, M., Eddhahak, A., Ayasse, J.-B., Chollet, H., Gautier, P.-E., Thouverez, F.: Assessment of semi-hertzian method for determination of wheel–rail contact patch. Veh. Syst. Dyn. 43(8), 539–559 (2005)

Alonso, A., Gimenez, J.G.: Tangential problem solution for non-elliptical contact areas with the fastsim algorithm. Veh. Syst. Dyn. 45(10), 789–814 (2006)

Goldsmith, W.: Impact—The Theory and Physical Behaviour of Colliding Solids. Edward Arnold, London (1960)

Pombo, J., Ambrósio, J.: Modelação de veículos ferroviários da CP e do metropolitano de Lisboa. Technical Report No. 19 of PEDIP Project No. 25/00379 on “Dinâmica de Veículos Ferroviários”, Lisbon, Portugal (2000)

Dukkipati, R.V., Amyot, J.R.: Computer-Aided Simulation in Railway Dynamics. Dekker, New York (1988)