Abstract

The determination problem of adhesion coefficient of locomotives’ wheels with rails is described in this paper. The use of methods of mathematical statistics and theory of probability provides wider possibilities for determining the most acceptable (suitable) value of the adhesion coefficient. The random factors influencing on this value are analysed. The use of the adhesion coefficient values based on reliable research results could help maintain uninterrupted (continuous) traffic of heavy freight trains and increase not only the carrying capacity, but also the volume of the transported goods. The paper considers a mathematical model of steady traffic of heavy freight trains pulled by upgraded locomotives of the series 2M62M on railway line with a gradient. The research results show that the actual values of the adhesion coefficient and the total resistance are distributed according to the normal distribution law. A mode of locomotive motion largely depends on the relationship between the total train's running resistance and locomotive tractive force. Finally, basic conclusions are given.

Highlights

  • Adhesion coefficient of the locomotive wheels with the rails ψs should be determined based on the empirical results of the locomotive performance, while its value taken for traction calculation should ensure the most effective use of the locomotive power and steady traffic of freight trains

  • In calculating the locomotive speed, the adhesion coefficient is represented by a single curve ψadh(v) and a single value ψadh, though the external factors of its maintenance are changing in a ISSN 1648-4142 print / ISSN 1648-3480 online www.transport.vgtu.lt wide range, this can hardly ensure the most rational choice of the tractive force of a locomotive depending on the adhesion value Ftcralc and the locomotive mass for a particular route

  • The use of the adhesion coefficient values based on reliable research results could help maintain uninterrupted traffic of heavy freight trains and increase the carrying capacity, and the volume of the transported goods (Handbook... 2006)

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Summary

Introduction

Adhesion coefficient of the locomotive wheels with the rails ψs should be determined based on the empirical results of the locomotive performance, while its value taken for traction calculation should ensure the most effective use of the locomotive power and steady traffic of freight trains. This problem has considerably grown in importance, since the number of heavy (4 000–5 000 tons) freight trains has largely increased on Lithuanian railways in recent years The use of methods of mathematical statistics and theory of probability provides wider possibilities for determining the most acceptable (suitable) value of the adhesion coefficient ψadh. The paper considers a mathematical model of regular traffic of heavy freight trains pulled by upgraded freight locomotives of the series 2M62M on this line

Random factors influencing steady train motion uphill
Determining the conditions of steady locomotive motion
Developing a mathematical model of steady running uphill of the train
Conclusions
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