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

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.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 0065-2019-0005


DOI: https://doi.org/10.31857/S0044466920090112


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

Bibliographic databases:

UDC: 519.63
Received: 04.10.2019
Revised: 12.12.2019
Accepted:09.04.2020

Citation: A. A. Kozhemyachenko, I. B. Petrov, A. V. Favorskaya, N. I. Khokhlov, “Boundary conditions for modeling the impact of wheels on railway track”, Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020), 1587–1603; Comput. Math. Math. Phys., 60:9 (2020), 1539–1554

Citation in format AMSBIB
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\paper Boundary conditions for modeling the impact of wheels on railway track
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2020
\vol 60
\issue 9
\pages 1587--1603
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\crossref{https://doi.org/10.31857/S0044466920090112}
\elib{https://elibrary.ru/item.asp?id=43832517 }
\transl
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\pages 1539--1554
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  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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