Дослідження вертикальної динаміки електропоїзда ЕКр–1 «Тарпан» в умовах швидкісного руху

A. Ya.  Kuzyshyn

doi:10.15802/stp2026/354765

Authors

A. YA. Kuzyshyn Lviv Polytechnic National University; Lviv Research Institute of Forensic Science, Ukraine https://orcid.org/0000-0002-3012-5395

DOI:

https://doi.org/10.15802/stp2026/354765

Keywords:

high-speed rolling stock, dynamic performance indicators, mathematical model, railway track, structural constraints, vibrations

Abstract

Purpose. To determine the performance indicators of the vertical dynamic behavior of the EKr–1 «Tarpan» electric train under the influence of random railway track irregularities on a straight track section at operating speeds of up to 250 km/h. Methodology. The study employs a comprehensive three-dimensional mathematical model of the EKr–1 «Tarpan» electric train in interaction with the railway track, which incorporates a thermodynamic model of the pneumatic suspension system. The model consists of a system of 54 differential equations. Railway track irregularities are modeled as a random process and generated by applying white noise followed by filtering with a Butterworth filter, which ensures the specified spectral characteristics in terms of wavelength and amplitude. As indicators of the dynamic performance of the rolling stock, the coefficients of vertical dynamics of the primary and secondary suspension stages, as well as the vertical accelerations of the car body, are investigated. The vertical dynamic coefficients are determined based on the forces arising in the suspension system. Findings. The relationships between the coefficients of vertical dynamics of the primary and secondary suspension stages and the maximum values of the car body vertical acceleration as functions of operating speed have been obtained. These relationships exhibit a nonlinear behavior, on the basis of which the maximum permissible operating speeds of the EKr–1 «Tarpan» electric train under the specified railway track maintenance conditions have been determined. The dynamic performance indicators of the high-speed EKr–1 «Tarpan» electric train were obtained for both tare (empty) and gross (loaded) vehicle conditions. Originality. Based on an improved comprehensive mathematical model describing the dynamic behavior of high-speed rolling stock–track interaction, theoretical values of dynamic performance indicators have been substantiated for operating regimes representative of service conditions, taking into account the rolling stock design features, wheel–rail interaction conditions, and operating speeds of up to 250 km/h. Practical value. The obtained dynamic performance indicators of the EKr–1 «Tarpan» electric train, as well as the established maximum permissible operating speeds, can be used to substantiate the conditions for its safe operation in high-speed service regimes. The results of the study are advisable for application in the design, modernization, and improvement of suspension systems of high-speed rolling stock, as well as in the development of regulatory and operational documentation.

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