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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 9, Pages 1587–1603
DOI: https://doi.org/10.31857/S0044466920090112 (Mi zvmmf11136) 		 
This article is cited in 14 scientific papers (total 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
Citations (14)
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DOI: https://doi.org/10.31857/S0044466920090112
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
Received: 04.10.2019
Revised: 12.12.2019
Accepted: 09.04.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 9, Pages 1539–1554
DOI: https://doi.org/10.1134/S0965542520090110
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
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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\jour Zh. Vychisl. Mat. Mat. Fiz.
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\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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Linking options:
  • https://www.mathnet.ru/eng/zvmmf11136
  • https://www.mathnet.ru/eng/zvmmf/v60/i9/p1587
    • This publication is cited in the following 14 articles:
    1. A. A. Kozhemyachenko, E. Pesnya, “Computer Simulation of Train Movement by Grid-Characteristic Method”, Lobachevskii J Math, 45:1 (2024), 262  crossref
    2. I. B. Petrov, A. A. Kozhemyachenko, A. V. Favorskaya, “SIMULATION THE VIBRATIONS OF RAILWAY STRUCTURES BY THE GRID-CHARACTERISTIC METHOD”, Doklady Rossiiskoi akademii nauk. Fizika, tekhnicheskie nauki, 508:1 (2023), 59  crossref
    3. A. A. Kozhemyachenko, A. V. Favorskaya, “Grid convergence analysis of grid-characteristic method on Chimera meshes in ultrasonic nondestructive testing of railroad rail”, Comput. Math. Math. Phys., 63:10 (2023), 1886–1903  mathnet  mathnet  crossref  crossref
    4. N. I Khokhlov, I. B Petrov, “Setochno-kharakteristicheskiy metod povyshennogo poryadka dlya sistem giperbolicheskikh uravneniy s kusochno-postoyannymi koeffitsientami”, Differentsialnye uravneniya, 59:7 (2023), 983  crossref
    5. N. I. Khokhlov, I. B. Petrov, “High-Order Grid-Characteristic Method for Systems of Hyperbolic Equations with Piecewise Constant Coefficients”, Diff Equat, 59:7 (2023), 985  crossref
    6. A. Kozhemyachenko, A. Favorskaya, E. Pesnya, V. Stetsyuk, “Modification of the Grid-Characteristic Method on Chimera Meshes for 3D Problems of Railway Non-destructive Testing”, Lobachevskii J Math, 44:1 (2023), 376  crossref
    7. I. B. Petrov, A. A. Kozhemyachenko, A. V. Favorskaya, “Simulation of Vibrations of Railway Structures by the Grid-Characteristic Method”, Dokl. Phys., 68:1 (2023), 30  crossref
    8. E. A. Pesnya, A. V. Favorskaya, A. A. Kozhemyachenko, “Implicit Hybrid Grid-Characteristic Method for Modeling Dynamic Processes in Acoustic Medium”, Lobachevskii J Math, 43:4 (2022), 1032  crossref
    9. Diogo Da Fonseca-Soares, Josicleda Domiciano Galvinicio, Sayonara Andrade Eliziário, Angel Fermin Ramos-Ridao, “A Bibliometric Analysis of the Trends and Characteristics of Railway Research”, Sustainability, 14:21 (2022), 13956  crossref
    10. Alena Favorskaya, Nikolay Khokhlov, Vitaly Sagan, Dmitry Podlesnykh, Lecture Notes in Computer Science, 13708, Supercomputing, 2022, 199  crossref
    11. Alena V. Favorskaya, Nikolay Khokhlov, Smart Innovation, Systems and Technologies, 309, Intelligent Decision Technologies, 2022, 249  crossref
    12. A. Favorskaya, N. Khokhlov, “Accounting for curved boundaries in rocks by using curvilinear and chimera grids”, Knowledge-Based and Intelligent Information & Engineering Systems (KSE 2021), Procedia Computer Science, 192, eds. J. Watrobski, W. Salabun, C. Toro, C. Zanni-Merk, R. Howlett, L. Jain, Elsevier Science Bv, 2021, 3787–3794  crossref  isi
    13. N. Khokhlov, “A software package for modeling the propagation of dynamic wave disturbances in heterogeneous multi-scale media”, J. Phys.: Conf. Ser., 2056:1 (2021), 012012  crossref
    14. Evgeniy Pesnya, Anton A. Kozhemyachenko, Alena V. Favorskaya, Smart Innovation, Systems and Technologies, 238, Intelligent Decision Technologies, 2021, 151  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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