An iterative methodology for the prediction of dynamic vehicle–track interaction and long-term periodic rail wear

Abstract

In this study, a versatile numerical method for the prediction of long-term growth of rail roughness is presented and its functionality is demonstrated for the development of rail corrugation on small radius curves. The procedure includes two sub-modules: (1) a time-domain model for the simulation of dynamic vehicle–track interaction in a wide range of frequencies by using a commercial software for multibody dynamics and (2) a post-calculation of sliding wear based on the Archard’s model in combination with a non-Hertzian and transient wheel–rail contact model. The structural flexibility of the wheelset is accounted for by using the finite element method. The rail wear generated by a large number of passing trains is assessed by recurrently updating the rail surface based on the wear depth calculated in each post-processing step. The current work sets out from a previous study in which a model for the prediction of long-term growth of rail roughness on small radius curves was developed in a general-purpose programming language. By transferring the model into a commercial software, the aim is to develop an engineering tool that is more applicable for different operational conditions, such as various vehicle and track designs and track alignments. The proposed method is verified by comparing the simulation results against those obtained with the pre-existing software. Conditions similar to a 120 m radius curve on the Stockholm metro exposed to corrugation growth on the low rail are considered. The corrugation is found to be generated by the leading wheelsets. The prevailing wavelength-fixing mechanisms are identified and discussed.

Keywords

Wear rutting corrugation prediction of long-term corrugation growth non-Hertzian and transient wheel–rail contact small radius curves dynamic vehicle–track interaction

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References

Grassie

Kalousek

. Rail corrugation: characteristics, causes and treatments. Proc IMechE, Part F: J Rail and Rapid Transit 1993; 207: 57–68.

Lewis

Olofsson

. Wheel-rail interface handbook, Cambridge: Woodhead Publishing Limited, 2009, pp. 842–842.

Torstensson

Nielsen

JCO

. Monitoring of rail corrugation growth due to irregular wear on a railway metro curve. Wear 2009; 267: 556–561.

Torstensson

Schilke

. Rail corrugation growth on small radius curves – measurements and validation of a numerical prediction model. Wear 2013; 303: 381–396.

Tassilly

Vincent

. A linear model for the corrugation of rails. J Sound Vib 1990; 150: 25–45.

Tassilly

Vincent

. Rail corrugations: analytical model and field tests. Wear 1991; 144: 163–178.

Saulot

Descartes

Desmyter

et al.

A tribological characterization of the ‘damage mechanism’ of low rail corrugation on sharp curved track. Wear 2006; 260: 984–995.

Saulot

Descartes

Berthier

. Sharp curved track corrugation: From corrugation observed on-site, to corrugation reproduced on simulators. Tribol Int 2009; 42: 1691–1705.

Wang

Wen

et al.

An investigation into the mechanism of metro rail corrugation using experimental and theoretical methods. Proc IMechE, Part F: J Rail and Rapid Transit 2015; 230: 1025–1039.

10.

Daniel

WJT

Horwood

Meehan

et al.

Analysis of rail corrugation in cornering. Wear 2008; 265: 1183–1192.

11.

Hempelmann

Hiss

Knothe

et al.

The formation of wear patterns on rail tread. Wear 1991; 144: 179–195.

12.

Hempelmann

Knothe

. An extended linear model for the prediction of short pitch corrugation. Wear 1996; 191: 161–169.

13.

Igeland

Ilias

. Rail head corrugation growth predictions based on non-linear high frequency vehicle/track interaction. Wear 1997; 213: 90–97.

14.

Nielsen

JCO

. High-frequency vertical wheel-rail contact forces – validation of a prediction model by field testing. Wear 2008; 265: 1465–1471.

15.

Genta

. Dynamics of rotating systems, New York: Springer, 2005, pp. 660–660.

16.

Vila

Baeza

Martínez-Casas

et al.

Rail corrugation growth accounting for the flexibility and rotation of the wheelset and the non-hertzian and non-steady-state effects at contact patch. Veh Syst Dyn 2014; 52: 92–108.

17.

Vila

Fayos

Baeza

. Simulation of the evolution of rail corrugation using a rotating flexible wheelset model. Veh Syst Dyn 2011; 49: 1749–1769.

18.

Kurzeck

Hecht

. Dynamic simulation of friction-induced vibrations in a light railway bogie while curving compared with measurement results. Veh Syst Dyn 2010; 45: 121–138.

19.

Kurzeck

. Combined friction induced oscillations of wheelset and track during the curving of metros and their influence on corrugation. Wear 2011; 271: 299–310.

20.

González

Pérez

Vinolas

et al.

Use of active steering in railway bogies to reduce rail corrugation on curves. Proc IMechE, Part F: J Rail and Rapid Transit 2007; 221: 509–519.

21.

Xie

Iwnicki

. Calculation of wear on a corrugated rail using a three-dimensional contact model. Wear 2008; 23: 1238–1248.

22.

Xie

Iwnicki

. Simulation of wear on a rough rail using a time-domain wheel-track interaction model. Wear 2008; 265: 1572–1583.

23.

Jin

Wen

Wang

et al.

Three-dimensional train-track model for study of rail corrugation. J Sound Vib 2006; 293: 830–855.

24.

Torstensson

Pieringer

Nielsen

JCO

. Simulation of rail roughness growth on small radius curves using a non-Hertzian and non-steady wheel–rail contact model. Wear 2014; 314: 241–253.

25.

Archard

. Contact and rubbing of flat surfaces. J Appl Phys 1953; 24: 981–988.

26.

Pieringer

. A numerical investigation of curve squeal in the case of constant wheel/rail friction. J Sound Vib 2014; 333: 4295–4313.

27.

APT_RSA-rail surface analyser, www.aptrail.com/images/site/pdf/APT_RSA_EN.pdf (accessed 12 December 2016).

28.

SIMPACK rail, release 9.9.1, http://www.simpack.com/mbs-software-product-rail.html (accessed 4 January 2018).

29.

ABAQUS, release 6.14, https://www.3ds.com/productsservices/simulia/products/abaqus (accessed 4 January 2018).

30.

Torstensson

Nielsen

JCO

. Simulation of vehicle–track interaction on small radius curves. Veh Syst Dyn 2011; 49: 1711–1732.

31.

Knothe

Grassie

. Modelling of railway track and vehicle/track interaction at high frequencies. Veh Syst Dyn 1993; 22: 209–262.

32.

Hertz

. Über die Berührung fester elastischer Körper. Journal für die reine und angewandte Mathematik 1881; 92: 156–171.

33.

Kalker

. A fast algorithm for the simplified theory of rolling contact. Veh Syst Dyn 1982; 11: 1–13.

34.

Pieringer A. Time-domain modelling of high-frequency wheel/rail interaction. PhD Thesis, Department of Civil and Environmental Engineering, Chalmers University of Technology, Sweden, 2011.

35.

Jendel

. Prediction of wheel profile wear-comparison with field measurements. Wear 2002; 253: 89–99.

36.

Lewis

Olofsson

. Mapping rail wear regimes and transitions. Wear 2004; 257: 721–729.

37.

EN ISO 3095:2005. Railway applications – acoustics – measurements of noise emitted by railbound vehicles.