Mohammed Touati ; Nouzha Lamdouar ; Chakir Tajani - Dynamic Behavior of a Railway Track Under a Moving Wheel Load Modelled as a Sinusoidal Pulse

cm:10774 - Communications in Mathematics, January 13, 2023, Volume 32 (2024), Issue 1 - https://doi.org/10.46298/cm.10774
Dynamic Behavior of a Railway Track Under a Moving Wheel Load Modelled as a Sinusoidal Pulse

Authors: Mohammed Touati ; Nouzha Lamdouar ; Chakir Tajani

    The aim of this paper is to evaluate the train/track induced loads on the substructure by modelling the wheel, at each instant, as a moving sinusoidal pulse applied in a very short period of time. This assumption has the advantage of being more realistic as it reduces the impact of time on the load definition. To that end, mass, stiffness, and dumping matrices of an elementary section of track will be determined. As a result, the equations of motion of a section of track subjected to a sinusoidal pulse and a rectangular pulse respectively is concluded. Two numerical methods of resolution of that equation, depending on the nature of the dumping matrix, will be presented. The computation results will be compared in order to conclude about the relevance of that load model. This approach is used in order to assess the nature and the value of the loads received by the substructure.


    Volume: Volume 32 (2024), Issue 1
    Published on: January 13, 2023
    Accepted on: January 5, 2023
    Submitted on: January 5, 2023
    Keywords: Mathematics - Numerical Analysis,74S05, 37M05, 74-10, 37N30 (Secondary)

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