×

Determination of wheel-rail contact points with semianalytic methods. (English) Zbl 1347.70017

Summary: The multibody simulation of railway vehicle dynamics needs a reliable and efficient method to determine the location of the contact points between wheel and rail that represent the application points of the contact forces and influence their directions and intensities. In this work, two semi-analytic procedures for the detection of the wheel-rail contact points (named the DIST and the DIFF methods) are presented. Both the methods consider the wheel and the rail as two surfaces whose analytic expressions are known. The first method is based on the idea that the contact points are located in the point in which the distance between the contact surfaces has local maxima, and is equivalent to solve an algebraic 4D-system. The second method is based on the idea that in the contact points the difference between the surfaces has local minima and is equivalent to solve an algebraic 2D-system. In both cases, the original problem can be reduced analytically to a simple 1D-problem that can be easily solved numerically.

MSC:

70E55 Dynamics of multibody systems
70E18 Motion of a rigid body in contact with a solid surface
70-08 Computational methods for problems pertaining to mechanics of particles and systems

Software:

CONTACT
Full Text: DOI

References:

[1] Shabana, A.A., Sany, J.R.: An augmented formulation for mechanical systems with non-generalized coordinates: application to rigid body contact problems. Nonlinear Dyn. 24, 183–204 (2001) · Zbl 0993.70008 · doi:10.1023/A:1008362309558
[2] Shabana, A.A., Zaazaa, K.E., Escalona, J.L., Sanyc, J.R.: Development of elastic force model for wheel/rail contact problems. J. Sound Vib. 269, 295–325 (2004) · doi:10.1016/S0022-460X(03)00074-9
[3] Shabana, A.A., Tobaa, M., SugiYama, H., Zaazaa, K.E.: On the computer formulations of the wheel/rail contact problem. Nonlinear Dyn. 40, 169–193 (2005) · Zbl 1244.74004 · doi:10.1007/s11071-005-5200-y
[4] Shabana, A.A., Sany, J.R.: A survey of rail vehicle track simulations and flexible multibody dynamics. Nonlinear Dyn. 26, 179–210 (2001) · Zbl 1052.74029 · doi:10.1023/A:1012976302105
[5] Shabana, A.A., Berzeri, M., Sany, J.R.: Numerical procedure for the simulation of wheel/rail contact dynamics. Trans. Am. Soc. Mech. Eng. 123, 168–178 (2001)
[6] Pombo, J., Ambrosio, J.: Dynamic analysis of a railway vehicle in real operation conditions using a new wheel–rail contact detection model. Int. J. Veh. Syst. Model. Test. 1(1/2/3), 79–105 (2005) · doi:10.1504/IJVSMT.2005.008574
[7] Rulka, W., Pankiewicz, E.: MBS approach to generate equations of motions for hil-simulations in vehicle dynamics. Multibody Syst. Dyn. 14, 367–386 (2005) · Zbl 1146.70324 · doi:10.1007/s11044-005-1144-8
[8] Kik, W., Moelle, D.: Implementation of the wheel-rail element in ADAMS/Rail Version 10.1. In: 5th ADAMS/Rail Users’ Conference, Haarleem (2000)
[9] Dukkipati, R.V., Amyot, J.R.: Computer Aided Simulation in Railway Dynamics. Dekker, New York (1988)
[10] Malvezzi, M., Meli, E., Papini, S., Pugi, L.: Parametric models of railway systems for real-time applications. Multibody dynamics, Milano, Italy (2007)
[11] Auciello, J., Malvezzi, M., Meli, E., Papini, S., Pugi, L., Rindi, A.: Multibody models of railway vehicles for real-time systems. In: XVIII Congresso AIMETA, Brescia, Italy (2007)
[12] Kolda, T.G., Lewis, R.M., Torczon, V.: Optimization by direct search new perspectives on some classical and modern methods. SIAM Rev. 45(3), 385–482 (2003) · Zbl 1059.90146 · doi:10.1137/S003614450242889
[13] Nelder, J.A., Mead, R.: A simplex method for function minimization. Comput. J. 7, 308–313 (1965) · Zbl 0229.65053
[14] do Carmo, M.P.: Differential Geometry of Curves and Surface. Prentice Hall, Englewood Cliffs (1976) · Zbl 0326.53001
[15] Esveld, C.: Modern Railway Track, 2nd edn. Delft University of Technology, Delft (2001)
[16] Iwnicki, S.: The Manchester Benchmarks for Rail Vehicle Simulators. Swets & Zeitlinger, Lisse (1999) (ISBN 90 265 1551 0)
[17] Kalker, J.J.: Three-Dimensional Elastic Bodies in Rolling Contact. Kluwer Academic, Dordrecht (1990) · Zbl 0709.73068
[18] Vollebregt, E.A.H., Kalker, J.J., Wang, G.: CONTACT 93 Users Manual. VORtech Computing, Industrial and Scientific Computing, July 1992. Revised March 1994
[19] Polach, O.: Creep forces in simulations of traction vehicles running on adhesion limit. Wear 258, 992–1000 (2005) · doi:10.1016/j.wear.2004.03.046
[20] Polach, O.: Influence of locomotive tractive effort on the forces between wheel and rail. Veh. Syst. Dyn. 35, 7–22 (2001)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.