Prediction of the growth of wear-type rail corrugation

The growth behaviour of the vibrational wear phenomenon known as rail corrugation is investigated analytically and numerically using mathematical models. A simplified feedback model for wear-type rail corrugation that includes a wheel pass time delay is developed with an aim to analytically distil the most critical interaction occurring between the wheel/rail structural dynamics, rolling contact mechanics and rail wear. To this end, a stability analysis on the complete system is performed to determine the growth of wear-type rail corrugations over multiple wheelset passages. This analysis indicates that although the dynamical behaviour of the system is stable for each wheel passage, over multiple wheelset passages, the growth of wear-type corrugations is shown to be the result of instability due to feedback interaction between the three primary components of the model. The corrugations are shown analytically to grow for all realistic railway parameters. From this analysis an analytical expression for the exponential growth rate of corrugations in terms of known parameters is developed. This convenient expression is used to perform a sensitivity analysis to identify critical parameters that most affect corrugation growth. The analytical predictions are shown to compare well with results from a benchmarked time-domain finite element model.

[1]  Joe Kalousek,et al.  The role of high positive friction (HPF) modifier in the control of short pitch corrugations and related phenomena , 2002 .

[2]  Steffen Műller,et al.  A linear wheel–rail model to investigate stability and corrugation on straight track , 2000 .

[3]  J Kalousek,et al.  Rail Corrugation: Characteristics, Causes and Treatments , 1993 .

[4]  Klaus Knothe,et al.  Review on rail corrugation studies , 2002 .

[5]  Stuart L. Grassie.  Models of Railway Track and Vehicle/Track Interaction at High Frequencies: Results of Benchmark Test , 1996 .

[6]  Klaus Hempelmann,et al.  A new type of RCF, experimental investigations and theoretical modelling , 2002 .

[7]  Akira Matsumoto,et al.  Study on the Formation Mechanism of Rail Corrugation on Curved Track , 1996 .

[8]  David J. Ewins,et al.  Modal Testing: Theory, Practice, And Application , 2000 .

[9]  H. Ilias.  THE INFLUENCE OF RAILPAD STIFFNESS ON WHEELSET/TRACK INTERACTION AND CORRUGATION GROWTH , 1999 .

[10]  René Heyder,et al.  Testing of HSH® rails in high-speed tracks to minimise rail damage , 2005 .

[11]  Jens C. O. Nielsen,et al.  Rail corrugation in The Netherlands—measurements and simulations , 2002 .

[12]  Steffen Müller,et al.  Erratum to “A linear wheel-rail model to investigate stability and corrugation on straight track” [Wear 243 (1/2) (2000) 122–132]☆ , 2001 .

[13]  K. Knothe,et al.  An extended linear model for the prediction of short pitch corrugation , 1996 .

[14]  K. L. Johnson,et al.  Development of Corrugations on Surfaces in Rolling Contact , 1975 .

[15]  Yoshihiro Suda,et al.  Study on rail corrugation in sharp curves of commuter line , 2002 .

[16]  Paul A. Meehan,et al.  Issues in dynamic modelling to predict growth of rail corrugations , 2003 .

[17]  Stuart L. Grassie,et al.  Rail corrugation: advances in measurement, understanding and treatment , 2005 .

[18]  J. B. Neilsen.  EVOLUTION OF RAIL CORRUGATION PREDICTED WITH A NON-LINEAR WEAR MODEL , 1999 .

[19]  K. L. Johnson,et al.  The Dynamic Response of Railway Track to High Frequency Vertical Excitation , 1982 .

[20]  Heike Ilias,et al.  Rail head corrugation growth predictions based on non-linear high frequency vehicle/track interaction , 1997 .

[21]  K. L. Johnson,et al.  Wheel-rail dynamics with closely conformal contact Part 1: Dynamic modelling and stability analysis , 1997 .

[22]  Stuart L. Grassie.  Benchmark Test for Models of Railway Track and of Vehicle/Track Interaction at Relatively High Frequencies , 1995 .

[23]  Gene F. Franklin,et al.  Feedback Control of Dynamic Systems , 1986 .