Dynamic Train-Track Interaction: Variability Attributable to Scatter in the Track Properties

A numerical method to simulate vertical dynamic interaction between a rolling train and a railway track has been used to investigate the influence of stochastic properties of the track structure. A perturbation technique has been used to investigate the influence of the scatter in selected track properties. The train-track interaction problem has been numerically solved by use of an extended state-space vector approach in conjunction with a complex modal superposition for the whole track structure. All numerical simulations have been carried out in the time-domain with a moving mass model. Properties such as rail pad stiffness, ballast stiffness, dynamic ballast-subgrade mass and sleeper spacing have been studied. To obtain sufficient statistical information from track structures, full-scale measurements in the field and laboratory measurements have been carried out. The influence of scatter in the track properties on the maximum contact force between the rail and the wheel, the maximum magnitude of the vertical wheelset acceleration, and the maximum sleeper displacement have been studied. Mean values and standard deviations of these quantities have been calculated. The effects of the variation of the investigated track properties are discussed.

[1]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[2]  Jens C. O. Nielsen Train---Track Interaction. Coupling of Moving and Stationary Dynamic Systems: Theoretical and Experimental Analysis of Railway Structures Considering Wheel and Track Imperfections , 1993 .

[3]  Lawrence F. Shampine,et al.  The MATLAB ODE Suite , 1997, SIAM J. Sci. Comput..

[4]  Michał Kleiber,et al.  The Stochastic Finite Element Method: Basic Perturbation Technique and Computer Implementation , 1993 .

[5]  R. Ghanem,et al.  Stochastic Finite Elements: A Spectral Approach , 1990 .

[6]  Vimal Singh,et al.  Perturbation methods , 1991 .

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

[8]  Annika Igeland Dynamic Train/Track Interaction: Simulation of Railhead Corrugation Growth under a Moving Bogie Using Mathematical Models Combined with Full-Scale Measurements , 1997 .

[9]  Masanobu Shinozuka,et al.  Neumann Expansion for Stochastic Finite Element Analysis , 1988 .

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

[11]  H. Matthies,et al.  Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements , 1997 .

[12]  M. G. Dittrich,et al.  ROUGHNESS ON DUTCH RAILWAY WHEELS AND RAILS , 1996 .