Abstract
The problem investigated in this paper comes from railway engineering. It is known that geometrical irregularities of the rail head rolling surface produce additional force when the train runs on track. This force can be quite significant and should not be neglected in the analysis, especially when one deals with high-speed railways. In this paper, an analytical method of modelling of such irregularities is presented. The detailed description of this method is associated with its practical application to the analysis of the rail track dynamic response to moving train. However, stochastic analysis of the presented model is omitted in this paper and left for further work. This should include a number of realisations along with statistical analysis of results, or description of the rail track subjected to moving train in terms of stochastic differential equations, which is the main direction of the authors future investigations.
Highlights
Modelling of dynamic loads appearing on rail tracks is quite difficult subject
These numerous examples lead to the necessity of consideration of more complex description of both the rail track systems and the loads generated by moving train
This paper deals with modelling of random part of this load, generated by irregularities appearing on the rail head rolling surface
Summary
Modelling of dynamic loads appearing on rail tracks is quite difficult subject. The very good example of such conditions are irregularities appearing on rail head rolling surface and wheels of train. These numerous examples lead to the necessity of consideration of more complex description of both the rail track systems and the loads generated by moving train. These descriptions should take into account nonlinear and stochastic properties. This paper deals with modelling of random part of this load, generated by irregularities appearing on the rail head rolling surface. An efficient approximation method allowing to introduce the randomized beam surface imperfections in analytically solved system of differential equations is shown and described in details
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