350 rub
Journal Nonlinear World №1 for 2023 г.
Article in number:
Construction and computer research of mathematical models of repair and operation of technical vehicles of railway transport
Type of article: scientific article
DOI: https://doi.org/10.18127/j20700970-202301-01
UDC: 519.6, 519.7
Keywords: Nonlinear mathematical models differential equations numerical modeling transport systems trajectory dynamics stability phase portraits technological processes repair and operation computational experiments
Authors:

O.V. Druzhinina1, I.V. Makarenkova2, V.V. Maksimova3

1-3 FRС «Computer Science and Control» of RAS (Moscow, Russia)

Abstract:

The problem of modeling organizational and technological processes in transport, taking into account various external and internal factors, is an urgent problem, the solution of which is aimed at ensuring the sustainable functioning of technical vehicles. The range of topical issues related to this problem includes issues of construction and computer research of dynamic models of repair and operation of technical vehicles used in railway transport. The description of such dynamic models is given, in particular, using systems of finite-dimensional nonlinear differential equations followed by analytical and numerical research. The purpose of the article is the construction, analytical and computer research of new mathematical models of organizational and technological processes in railway transport based on the tools of the theory of differential equations and numerical solution research. Modifications and generalizations of a two-dimensional mathematical model describing the process of repair of technical vehicles of railway transport are proposed. A three-dimensional model of operation and repair described by a system of nonlinear differential equations has been developed. Generalizations and modifications of this model are proposed. Phase portraits are constructed for the selected sets of parameters and initial conditions, trajectories are obtained taking into account the variation of model parameters. A comparative analysis of the results obtained is given and the prospects for research are presented. The results can be used in the problems of constructing and analyzing mathematical models of dynamic systems, in the problems of numerical modeling of transport systems and technological processes, in the problems of optimizing the number of vehicles and improving the transportation process.

Pages: 5-12
For citation

Druzhinina O.V., Makarenkova I.V., Maksimova V.V. Construction and computer research of mathematical models of repair and operation of technical vehicles of railway transport. Nonlinear World. 2023. V. 21. № 1. P. 5-12. DOI: https://doi.org/10.18127/ j20700970-202301-01 (In Russian)

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Date of receipt: 12.12.2022
Approved after review: 11.01.2023
Accepted for publication: 27.02.2023