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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2020 Volume 60, Number 9, Pages 1587–1603 (Mi zvmmf11136)

This article is cited in 14 papers

Boundary conditions for modeling the impact of wheels on railway track

A. A. Kozhemyachenkoa, I. B. Petrovab, A. V. Favorskayaabc, N. I. Khokhlovab

a Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow oblast, 141701 Russia
b Scientific Research Institute for System Analysis, Russian Academy of Sciences, Moscow, 117218 Russia
c National Research Center "Kurchatov Institute", Moscow, 123182 Russia

Abstract: The distribution of the dynamic load on railroad track caused by a moving heavy train is numerically simulated. The track is represented as a multilayered linear elastic medium. A complete system of equations describing the state of a linear elastic body and a system of continuum mechanics equations are solved. The grid-characteristic method is used, which ensures the formulation of correct contact and boundary conditions. Analytical expressions taking into account the impact of damaged wheels on rails are derived, and corresponding boundary conditions are developed and numerically implemented.

Key words: grid-characteristic method, numerical simulation, wheel–rail system.

UDC: 519.63

Received: 04.10.2019
Revised: 12.12.2019
Accepted: 09.04.2020

DOI: 10.31857/S0044466920090112


 English version:
Computational Mathematics and Mathematical Physics, 2020, 60:9, 1539–1554

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© Steklov Math. Inst. of RAS, 2024