Computing and Library Services - delivering an inspiring information environment

A New Method for Modelling and Simulation of the Dynamic Behaviour of the Wheel-rail contact

Anyakwo, Arthur, Pislaru, Crinela and Ball, Andrew (2012) A New Method for Modelling and Simulation of the Dynamic Behaviour of the Wheel-rail contact. International Journal of Automation and Computing, 9 (3). pp. 237-247. ISSN 1476-8186

[img] PDF - Published Version
Restricted to Repository staff only

Download (2MB)


This paper presents a new method for modelling and simulation of the dynamic behaviour of the wheel-rail contact. The
proposed dynamic wheel-rail contact model comprises wheel-rail contact geometry, normal contact problem, tangential contact problem
and wheelset dynamic behaviour on the track. This two-degree of freedom model takes into account the lateral displacement of the
wheelset and the yaw angle. Single wheel tread rail contact is considered for all simulations and Kalker0s linear theory and heuristic
non-linear creep models are employed. The second order di®erential equations are reduced to ¯rst order and the forward velocity of
the wheelset is increased until the wheelset critical velocity is reached. This approach does not require solving mathematical equations
in order to estimate the critical velocity of the dynamic wheel-rail contact model. The mathematical model is implemented in Matlab
using numerical di®erentiation method. The simulated results compare well with the estimated results based on classical theory related
to the dynamic behaviour of rail-wheel contact so the model is validated.

Item Type: Article
Uncontrolled Keywords: Modelling, simulation, condition monitoring, dynamic behaviour, wheel-rail contact
Subjects: T Technology > T Technology (General)
T Technology > TJ Mechanical engineering and machinery
Schools: School of Computing and Engineering
School of Computing and Engineering > Diagnostic Engineering Research Centre > Machinery Condition and Performance Monitoring Research Group
Related URLs:
References: [1] W. Yan, F. D. Fischer. Applicability of the Hertz contact theory to rail-wheel contact problems. Archive of Applied Mechanics, vol. 70, no. 4, pp. 255{268, 1999. [2] J. B. Ayasse, H. Chollet. Determination of the wheel rail contact patch in semi-Hertzian conditions. Vehicle System Dynamics, vol. 43, no. 3, pp. 161{172, 2005. [3] X. Quost, M. Sebes, A. Eddhahak, J. B. Ayasse, H. Chollet, P. E. Gautier, F. Thouverez. Assessment of a semi-Hertzian method for the determination of the wheel-rail contact patch. Vehicle System Dynamics, vol. 44, no. 10, pp. 789{814, 2006. [4] B. Jacobson, J. J. Kalker. Rolling Contact Phenomena, CISM Courses and Lectures, Springer, no. 411, pp. 81 - 87,2000. [5] T. Telliskivi, U. Olofsson. Contact mechanics analysis of measured wheel-rail pro¯les using the ¯nite element method. IMechE Proc. Part F: Journal of Rail and Rapid Transit, vol. 215, no. 2, pp. 65- 72, 2000. [6] J. J. Kalker. Wheel-rail rolling contact theory. Wear, vol. 144, no. 1, pp. 243-261,1991. [7] J. J. Kalker. Three Dimensional Elastic Bodies in Rolling Contact, 2nd ed., Berlin, Germany: Springer, 1990. [8] S. Iwnicki. Simulation of wheel-rail contact forces. Fatigue & Fracture of Engineering Materials and Structures, vol. 26, no. 10, pp. 887{900, 2003, [9] J. Pombo, J. Ambrosio, M. Silva. A new wheel-rail contact model for railway dynamics. Vehicle System Dynamics, vol. 45, no. 2, pp. 165-189, 2007. [10] A. H. Wickens. The dynamics of railway vehicles on straight track: Fundamental considerations for lateral stability. IMechE Proc vol. 180, no. 6, pp. 29-44, 1965. [11] S. Y. Lee, Y. C. Cheng. A new dynamic model of high speed railway vehicle moving on curved tracks. Journal of Vibration and Acoustics, vol. 130, no. 1, 011009, 2008. [12] Rail Safety and Standards Board (RSSB). Feasibility of Reducing the Number of Standard Wheel Pro¯le Designs, Research and Development Programme, Report Commentary,2002. [13] British Standards (BSI), Speci¯cation for Railway Rails,pp. 37, 2004. [14] E. B. Magrab, S. Azarm, B. Balachandran, J. Duncan, K. Herold, G. Walsh. An Engineers Guide to Matlab, 1st ed.,New Jersey, USA: Prentice Hall, 2000. [15] R. L. Burden, J. D. Faires. Numerical Analysis, 8th ed.,California, USA: Thompson Brooks/Cole, 2005. [16] A. Jaschinski, H. Chollet, S. D. Iwnicki, A. H. Wickens,J. V. Wrzen. The application of roller rigs to railway vehicle dynamics. Vehicle System Dynamics, vol. 31, no. 5, pp. 345-392, 1999. [17] M. I. A. Lourakis. A Brief Description of the Levenberg-Marquardt Algorithm Implemented by levmar, [On-line], Available: doc/papers/levmar.pdf, March 10, 2012. [18] MATLAB Documentation, Mathsworks. [Online], Available: ug/fsolve.html, March 10, 2012. [19] A. Anyakwo, C. Pislaru, A. Ball, F. Gu. A novel approach to modelling and simulation of the dynamic behaviour of the wheel-rail interface. In Proc. 17th IEEE Conf on Automation and Computing, IEEE, Huddersfield, UK, pp. 283-288, 2011.
Depositing User: Crinela Pislaru
Date Deposited: 14 Jun 2012 15:12
Last Modified: 28 Aug 2021 20:46


Downloads per month over past year

Repository Staff Only: item control page

View Item View Item

University of Huddersfield, Queensgate, Huddersfield, HD1 3DH Copyright and Disclaimer All rights reserved ©