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Fractal analysis of high speed rail geometry data: A case study of Ankara-Eskisehir high speed rail

机译：高速铁路几何数据分形分析 - 以安克拉 - 斯基尔高速铁路为例

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By considering railway track geometry as a fractal pattern, the irregularity of the track geometry can be expressed numerically with the help of fractal dimensions. In this study, a novel algorithm based on ruler method has been developed and a program was written to determine the fractal dimensions of railway track geometry graphs. Four different fractal dimensions of D(R)1, D(R)2, D(R)3, and D(R)4 were proposed to determine the geometric irregularity of the railway track by using the data of Ankara-Eskisehir High-Speed Railway track. D(R)1 and D(R)2 were used to quantify short wavelength irregularities while D(R)3 and D(R)4 were used to quantify medium wavelength irregularities. At the end of the study, the relationship between fractal dimensions and standard deviation values, which is the quality indicator according to EN 13848-6, was investigated. According to this, there is a strong relationship between the D(R)3 and the standard deviation. (C) 2020 Elsevier Ltd. All rights reserved.
机译：通过考虑铁路轨道几何形状作为分形图案，轨道几何形状的不规则性可以在分形尺寸的帮助下以数字方式表示。在本研究中，已经开发了一种基于标尺方法的新型算法，并编写了一个程序来确定铁路轨道几何图的分形尺寸。提出了四种不同的D（R）1，D（R）2，D（R）3和D（R）4的分形尺寸，以确定通过使用Ankara-eskisehir的数据来确定铁路轨道的几何不规则性 - 速度铁路轨道。 D（r）1和d（r）2用于量化短波长不规则性，而D（r）3和d（r）4用于量化培养基波长不规则性。研究了在研究结束时，研究了分形尺寸与标准偏差值之间的关系，这是根据EN 13848-6的质量指标。据此，D（R）3与标准偏差之间存在强烈的关系。 （c）2020 elestvier有限公司保留所有权利。

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