Russian Federation
Russian Federation
The article discusses the features of modeling of train movement with clarification of the results of traction calculations. Purpose: modification of the train movement equation taking into account random factors based on processed statistical data for use in dynamic models. Methods: mathematical modeling, probability theory, Euler, Runge — Kutta methods. Statistical hypotheses are tested about the belonging of real trip registration data and data obtained by modeling to one general population. Results: during the analysis of statistical data obtained from recording cassettes and high-speed tapes, it is proposed to clarify the existing equation of motion with correction coefficients obtained empirically. A hypothesis is put forward that statistical and calculated data belong to one total population. Practical significance: as a result of confirming the hypothesis, the modified equation of motion can be used when modeling the movement of the flow of trains with various dynamic characteristics, including when arriving and departing at stations, as well as determine the actual values of station and inter-train intervals.
equation of train movement, traction calculations, dynamics of train movement, mathematical modeling, arrival at the station
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