On Quasi-Newton Method Applied To 2D Wheel-Rail Contact Models

Pislaru, Crinela and Anyakwo, Arthur (2014) On Quasi-Newton Method Applied To 2D Wheel-Rail Contact Models. International Journal of Engineering Research & Technology, 3 (3). pp. 1962-1971. ISSN 2278-0181

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Abstract

Reliable and proficient numerical methods are required to determine the contact points between wheel and rail. This paper presents the use of Quasi-Newton method for determining the solution of a reduced number of non-linear wheel-rail contact geometry equations that arise as a result of the interaction of wheel and rail on the track.
A novel two dimensional (2D) wheel-rail contact model is developed by using the wheel-rail contact co-ordinates to calculate the wheel-rail normal contact forces without approximating the contact angle. The simulated results are stored in a lookup table and accessed during the simulation of the bogie dynamic behaviour thus reducing the computational time. The reduced number of non-linear wheel-rail contact geometry equations and employment of Quasi-Newton method enable the proposed 2D wheel-rail contact model to be used for fast and real time simulations of complex and non-linear wheel-rail contact mechanics.

Item Type:	Article
Uncontrolled Keywords:	wheel-rail interface; lateral displacement; yaw angle; wheel-rail contact model; railway vehicle dynamics; normal forces
Subjects:	T Technology > TJ Mechanical engineering and machinery
Schools:	School of Computing and Engineering School of Computing and Engineering > Institute of Railway Research
Related URLs:	Author Publisher
References:	[1] P. Kornerup and J.-M. Muller, “Choosing starting values for certain Newton–Raphson iterations,” Theoretical Computer Science, vol. 351, no. 1, pp. 101–110, Feb. 2006. [2] F. J., Zeleznik, "Quasi-Newton Methods for Nonlinear Equations", Journal of the association for Computing Machinery, Vol. 15, No. 2, pp. 265-271, 1968. [3] A.H. Wickens, Fundamentals of Rail Vehicle Dynamics, 1st ed. Taylor & Francis, 2007. [4] H. Sugiyama and Y. Suda, ‘On the Contact Search Algorithms for Wheel/Rail Contact Problems’, Journal of Computational and Nonlinear Dynamics, vol. 4, no. 4, p. 041001, 2009. [5] A. Anyakwo, C. Pislaru, and A. Ball, ‘A new method for modelling and simulation of the dynamic behaviour of the wheel-rail contact’, International Journal of Automation and Computing, vol. 9, no. 3, pp. 237–247, Jul. 2012. [6] J. Zeng and P. Wu, ‘Study on the wheel/rail interaction and derailment safety’, Wear, vol. 265, no. 9–10, pp. 1452–1459, Oct. 2008. [7] S. Iwnicki, ‘Simulation of wheel–rail contact forces’, Fatigue & Fracture of Engineering Materials & Structures, vol. 26, no. 10, pp. 887–900, 2003. [8] Powell, M. J. D., "A Fortran Subroutine for Solving Systems of Nonlinear Algebraic Equations," Numerical Methods for Nonlinear Algebraic Equations, Ch.7, 1970. [9] Broyden, C. G., "A Class of Methods for Solving Nonlinear Simultaneous Equations". Mathematics of Computation (American Mathematical Society) 19 (92): 577–593, 1965. [10] J. Sinclair, ‘Feasibility of reducing the number of standard wheel profile designs’, Railway Safety & Standard Boards, ITLR/T11299/001, Aug. 2002. [11] BS1, ‘British Standard Specification for Railways’, BS 11:1985, Jul. 2004. [12] J. Bhaskar, K. L. Johnson, and J. Woodhouse, ‘Wheel-rail dynamics with closely conformal contact Part 2: Forced response, results and conclusions’, Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, vol. 211, no. 1, pp. 27–40, Jan. 1997. [13] Y. Gharaibeh, C. Ennaceur, P. Mudge, and W. Balachandran, ‘Modelling guided waves in complex structures - Part 1: Rail’, presented at the Non-Destructive Testing (NDT) conference, 2009, Blackpool, UK,, Blackpool, UK,. [14] A. A. Shabana, K. E. Zaazaa, and H. Sugiyama, Railroad Vehicle Dynamics: A Computational Approach. Taylor & Francis, 2007. [15] S.-Y. Lee and 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, p. 011009, 2008. [16] A. Anyakwo, C. Pislaru, A. Ball, and F. Gu, ‘Modelling and simulation of dynamic wheel-rail interaction using a roller rig’, Journal of Physics: Conference Series, vol. 364, p. 012060, May 2012. [17] M. S. Engelman, G. Strang and K.-J. Bathe, "The application of quasi Newton methods in fluid mechanics, International Journal for Numerical Methods in Engineering Volume 17, Issue 5, May 1981, Pages: 707–718. [18] Rosen, E. M., A review of quasi-Newton methods in nonlinear equation solving and unconstrained optimization. Proc, 21st Nat. Conference of the ACM. Thompson Book Co., Washington, D. C. 1966, pp. 37-41.
Depositing User:	Crinela Pislaru
Date Deposited:	03 Apr 2014 15:46
Last Modified:	04 Apr 2018 11:00
URI:	http://eprints.hud.ac.uk/id/eprint/19933

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