On the Distribution Law of Dynamic Wheel-Rail Interaction Force

To establish the law of distribution of the vertical dynamic wheel-rail force. This will improve the accuracy and reliability of railway track calculations. Methods: A piecewise-continuous force measurement method known as the SPTU (PGUPS) technique was used to analyze data collected from 9,400 wheelsets. The application of statistical tests, including Shapiro-Wilk, Kolmogorov-Smirnov, and AIC, was employed to evaluate the compatibility of experimental data with normal and alternative distributions (lognormal, gamma, and Weibull). Results: The normal distribution has been found to be inadequate in describing the “heavy tails” observed in the experimental data. The gamma distribution has been found to provide the optimal fit. In cases of a complex nature, the proposal of mixed distributions (e.g. normal + gamma) has been put forward, with the aim of enhancing the accuracy of the modelling. Practical significance: The findings facilitate the refinement of track design methodologies for limit states, accounting for real dynamic load distributions.