An analytical mathematical method for calculation of the dynamic wheel–rail impact force caused by wheel flat

ABSTRACT The simplified method to determine a vertical impact force of wheel with flat and rail interaction is presented in this article. The presented simplified method can be used to identify maximum contact force and its distribution in the contact length between the damaged wheel and the rail. The vertical impact force depends on geometrical parameters of the rail and wheel with flat, speed of vehicle and the angle of deviation of rail. This article demonstrates the influence of wheel with flat geometrical parameters, speed of vehicle to maximum contact force and its distribution in the contact zone. The obtained values of the simplified method for determination of a vertical contact force are compared with the results obtained from field measurements.

[1]  Wing Kong Chiu,et al.  A Review of the Effects of Out-Of-Round Wheels on Track and Vehicle Components , 2005 .

[2]  Subhash Rakheja,et al.  An Adaptive Contact Model for Simulation of Wheel-rail Impact Load due to a Wheel Flat , 2007 .

[3]  A A Shabana,et al.  Geometric coupling in the wheel/rail contact formulations: A comparative study , 2007 .

[4]  Martin H. Murray,et al.  A dynamic wheel–rail impact analysis of railway track under wheel flat by finite element analysis , 2013 .

[5]  Ulf Olofsson,et al.  Wheel-Rail Interface Handbook , 2009 .

[6]  Michaël J.M.M. Steenbergen,et al.  The role of the contact geometry in wheel–rail impact due to wheel flats: Part II , 2007 .

[7]  A. Love.  A treatise on the mathematical theory of elasticity , 1892 .

[8]  J. J. Kalker,et al.  Wheel-rail rolling contact theory , 1991 .

[9]  Georges Kouroussis,et al.  Discrete modelling of vertical track–soil coupling for vehicle–track dynamics , 2011 .

[10]  Rajib Ul Alam Uzzal,et al.  Dynamic analysis of railway vehicle-track interactions due to wheel flat with a pitch-plane vehicle model , 2009 .

[11]  Wolfgang Kropp,et al.  A fast time‐domain model for wheel/rail interaction demonstrated for the case of impact forces caused by wheel flats , 2008 .

[12]  Xuesong Jin,et al.  Effect of unsupported sleepers on wheel/rail normal load , 2008 .

[13]  G. M.,et al.  A Treatise on the Mathematical Theory of Elasticity , 1906, Nature.

[14]  D. A. Hills,et al.  The contact problem for a wheel having a flat , 2006 .

[15]  A A Shabana,et al.  Study of the effect of the spiral geometry on wheel/rail contact forces , 2011 .

[16]  T. X. Wu,et al.  A hybrid model for wheel/track dynamic interaction and noise generation due to wheel flats , 2001 .

[17]  D. A. Hills,et al.  Contact of a rotating wheel with a flat , 2007 .

[18]  Jens C. O. Nielsen,et al.  Assessment of methods for calculating contact pressure in wheel–rail/switch contact , 2006 .

[19]  Jens C. O. Nielsen,et al.  Simulation of dynamic train–track interaction with state-dependent track properties , 2004 .

[20]  F. W. Carter,et al.  On the action of a locomotive driving wheel , 1926 .

[21]  Jens C. O. Nielsen,et al.  Out-of-round railway wheels , 2009 .

[22]  Thomas Abrahamsson,et al.  Coupling of physical and modal components for analysis of moving non‐linear dynamic systems on general beam structures , 1992 .