用弹性波传播数学模型确定铁路道砟的变形特性

IF 12.2 1区 工程技术 Q1 MECHANICS Applied Mechanics Reviews Pub Date : 2023-06-19 DOI:10.3390/applmech4020041
D. Kurhan, M. Kurhan, B. Horváth, S. Fischer
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引用次数: 0

摘要

本文通过数学建模,从理论上解决了铁路道砟变形特性的确定问题,同时考虑了其实际情况。不同的任务需要具有特定元素不同细节层次的数学模型。超过一定限度后,过多的细节只会恶化模型的质量。因此,对于轨道与车辆相互作用的许多问题,将道砟描述为具有垂直弹性变形的均匀各向同性层就足够了。压舱物的弹性变形是由单个元件的偏差形成的;压载物可能有污染物,压载物可能有压实程度不同的地方等。为了能够确定层的一般特性,采用了基于弹性理论动力学问题的系统应力-应变状态动态模型。通过弹性变形波的传递来模拟碴体对动载荷的反应。所给出的结果可以作为关于道砟层的初始数据应用于其他方向的轨道模型。
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Determining the Deformation Characteristics of Railway Ballast by Mathematical Modeling of Elastic Wave Propagation
The article solves the problem of theoretically determining the deformable characteristics of railway ballast, considering its condition through mathematical modeling. Different tasks require mathematical models with different levels of detail of certain elements. After a certain limit, excessive detailing only worsens the quality of the model. Therefore, for many problems of the interaction between the track and the rolling stock, it is sufficient to describe the ballast as a homogeneous isotropic layer with a vertical elastic deformation. The elastic deformation of the ballast is formed by the deviation of individual elements; the ballast may have pollutants, the ballast may have places with different levels of compaction, etc. To be able to determine the general characteristics of the layer, a dynamic model of the stress–strain state of the system based on the dynamic problem of the theory of elasticity is applied. The reaction of the ballast to the dynamic load is modeled through the passage of elastic deformation waves. The given results can be applied in the models of the railway track in the other direction as initial data regarding the ballast layer.
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来源期刊
CiteScore
28.20
自引率
0.70%
发文量
13
审稿时长
>12 weeks
期刊介绍: Applied Mechanics Reviews (AMR) is an international review journal that serves as a premier venue for dissemination of material across all subdisciplines of applied mechanics and engineering science, including fluid and solid mechanics, heat transfer, dynamics and vibration, and applications.AMR provides an archival repository for state-of-the-art and retrospective survey articles and reviews of research areas and curricular developments. The journal invites commentary on research and education policy in different countries. The journal also invites original tutorial and educational material in applied mechanics targeting non-specialist audiences, including undergraduate and K-12 students.
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