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The time domain analysis of interactions in the wheel - rail contacts due to discontinuous time periodic loads

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EN
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EN
In this paper, we present Fourier series less approaches for determining the energy produced by discontinuous time periodic forces in the wheel-rail contacts of the railway track systems. The vehicle system model used in this study consists of a quarter car supported on a bogie, while the side frame is supported on two wheel sets. The main advantage of the presented method is the total elimination of frequency analysis, which in effect introduces important simplifications in the identification of the energetic effects in the contact. Fundamental properties of contact displacements of the rail surface have been considered on the basis of the newly established method. The contact zone between railway wheels and the rail surfaces made of bulk materials is perceived as strong enough to resist the normal (vertical) forces introduced by heavy loads and the dynamic response induced by track and wheel irregularities. The analysis is carried out for a wheel running on an elastic rail rested on sleepers arranged on completely rigid foundation. The established model of the wheel-rail contact dynamics has been applied to that same roll plane, but with taking into account a nonlinear characteristic of the sleeper with respect to the ground. Attention then is focused completely on the modelling of the energy absorbed by the rail. The applied method employs the energy state variables as time functions leading to determine the susceptibility of a given contact on the strength induced by the rail roll.
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  • Institute of Precision Mechanics Duchnicka Street 3, 01-796 Warsaw, Poland tel.:+48 22 5602902, fax: +48 22 6634332, maria.trzaska@imp.edu.pl
Bibliografia
  • [1] Bezin, Y., et al., The effect of dynamic rail roll on the wheel–rail contact conditions, Vehicle System Dynamics, Vol. 46, pp. 107- 117, 2008.
  • [2] Chudzikiewicz, A., Myśliński, A., On wheel–rail contact problem with material properties varying with depth, PAMM, Proc. Applied Mathematic Mechanics, Vol. 9, pp.721-722, 2009.
  • [3] Hayat, M.M., Understanding of Rail Wheel Fatigue: Rolling Contact Fatigue in Rail-wheel, Saarbrücken, LAP LAMBERT Academic Publishing, 2012.
  • [4] Haykin, S., Van Veen, B., Signals and Systems, John Wiley, New York 2003.
  • [5] Iwnicki, S., (ed.), Handbook of Railway Vehicle Dynamics, Boca Raton, Taylor&Francis, 2006.
  • [6] Karnopp, D., Vehicle Stability, Marcel Dekker, Inc., New York 2004.
  • [7] Misiak, J., Stachura, S., Selected problems of static stability and dynamics of rod and shell structures, Publish. Office, Warsaw University of Ecology and Management, Warsaw 2010.
  • [8] Redfern, D., Campbell, C., The MATLAB®5 Handbook, Springer, New York 1998.
  • [9] Ren, L., et al., Properties of wheel/rail longitudinal creep force due to sinusoidal short pitch corrugation on railway rail, Wear, Vol. 284–285, pp. 73–81, 2012.
  • [10] Steenbergen, M. J., Modelling of wheels and rail discontinuities in dynamic wheel-rail contact analysis, Vehicle System Dynamics, Vol. 44, pp.763–787, 2006.
  • [11] Trzaska, M., Structure and properties of rail steel, Research report (in Polish), Warsaw University of Technology, Faculty of Materials Science and Engineering, Warsaw 2011.
  • [12] Trzaska, Z., Modelling of energy processes in wheel-rail contacts operating under influence of periodic discontinuous forces, Journal of Transportation Technologies,Vol.2, pp. 129-143, 2012.
  • [13] Zerzm, E., Topics in Multidimensional Linear Systems Theory, Springer, Berlin 2000.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUJ8-0019-0092
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