The importance of studies aimed at assessing the residual resource of the components and components of the mechanical system of the rolling stock operated on the Ukrainian railways is substantiated. As the basic unit of the rolling stock involved in the suburban transportation of passengers, electric trains are allocated. The importance for the mechanical system of motor-car rolling stock traction gears was noted. The necessity of determining the laws of distribution of the main characteristics of the traction gear operation is substantiated. The expediency of considering the value of tooth wear along the dividing circle as one of the main characteristics of the gear drive operation was noted. Features of the statistical analysis of the results of measuring the gear teeth and the wheels of traction gears of ER2, ER2P and ER2T electric trains operating on the southern railway during a three-year period of operation (2015-2017) are considered. The tooth thickness values for dividing chords are presented in the summary table in the form of arrays for gears and gears with the corresponding value and series of rolling stock, the date of measurement. Based on the results of statistical processing of these arrays, corresponding matrices are formed, the elements of which are the probabilities of occurrence of different wear, the corresponding mathematical expectations and the general variance. Using the obtained matrices for the traction gears of the series of electric trains studied, histograms and corresponding laws were constructed to distribute the probabilities of occurrence of a particular wear. It is noted that during the analysis of the obtained diagrams, laws were obtained which correspond to the steady-state regime on the wear curve and do not exceed the allowable or reject dimensions. Prospects for using the results obtained in predicting the residual service life of traction gears of tractive rolling stock are considered.
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