Fractal analysis of high speed rail geometry data: A case study of Ankara-Eskişehir high speed rail
•An algorithm was developed for fractal analysis of track geometry graphs.•Medium wavelength track irregularities were quantified by fractal dimensions.•Short wavelength track irregularities were quantified by fractal dimensions.•Standard deviations and fractal dimensions of track geometry graphs we...
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| Veröffentlicht in: | Measurement : journal of the International Measurement Confederation 2020-12, Vol.165, p.108120, Article 108120 |
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| container_title | Measurement : journal of the International Measurement Confederation |
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| creator | Taciroğlu, Murat Vergi Karaşahin, Mustafa Tığdemir, Mesut Işıker, Hakan |
| description | •An algorithm was developed for fractal analysis of track geometry graphs.•Medium wavelength track irregularities were quantified by fractal dimensions.•Short wavelength track irregularities were quantified by fractal dimensions.•Standard deviations and fractal dimensions of track geometry graphs were compared.
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 DR1, DR2, DR3, and DR4 were proposed to determine the geometric irregularity of the railway track by using the data of Ankara-Eskişehir High-Speed Railway track. DR1 and DR2 were used to quantify short wavelength irregularities while DR3 and DR4 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 DR3 and the standard deviation. |
| doi_str_mv | 10.1016/j.measurement.2020.108120 |
| format | Article |
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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 DR1, DR2, DR3, and DR4 were proposed to determine the geometric irregularity of the railway track by using the data of Ankara-Eskişehir High-Speed Railway track. DR1 and DR2 were used to quantify short wavelength irregularities while DR3 and DR4 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 DR3 and the standard deviation.</description><identifier>ISSN: 0263-2241</identifier><identifier>EISSN: 1873-412X</identifier><identifier>DOI: 10.1016/j.measurement.2020.108120</identifier><language>eng</language><publisher>London: Elsevier Ltd</publisher><subject>Algorithms ; Fractal analysis ; Fractal geometry ; Fractals ; Geometry ; High speed rail ; Irregularities ; Railroads ; Railway networks ; Railway track geometry irregularities ; Railway tracks ; Ruler method ; Standard deviation ; Track geometry index</subject><ispartof>Measurement : journal of the International Measurement Confederation, 2020-12, Vol.165, p.108120, Article 108120</ispartof><rights>2020 Elsevier Ltd</rights><rights>Copyright Elsevier Science Ltd. Dec 1, 2020</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c349t-ef0bf1f75862c2fee4f4435453fba17eba5e644d0b730c1b463fd6a6b2cfda6a3</citedby><cites>FETCH-LOGICAL-c349t-ef0bf1f75862c2fee4f4435453fba17eba5e644d0b730c1b463fd6a6b2cfda6a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.measurement.2020.108120$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3549,27923,27924,45994</link.rule.ids></links><search><creatorcontrib>Taciroğlu, Murat Vergi</creatorcontrib><creatorcontrib>Karaşahin, Mustafa</creatorcontrib><creatorcontrib>Tığdemir, Mesut</creatorcontrib><creatorcontrib>Işıker, Hakan</creatorcontrib><title>Fractal analysis of high speed rail geometry data: A case study of Ankara-Eskişehir high speed rail</title><title>Measurement : journal of the International Measurement Confederation</title><description>•An algorithm was developed for fractal analysis of track geometry graphs.•Medium wavelength track irregularities were quantified by fractal dimensions.•Short wavelength track irregularities were quantified by fractal dimensions.•Standard deviations and fractal dimensions of track geometry graphs were compared.
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 DR1, DR2, DR3, and DR4 were proposed to determine the geometric irregularity of the railway track by using the data of Ankara-Eskişehir High-Speed Railway track. DR1 and DR2 were used to quantify short wavelength irregularities while DR3 and DR4 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 DR3 and the standard deviation.</description><subject>Algorithms</subject><subject>Fractal analysis</subject><subject>Fractal geometry</subject><subject>Fractals</subject><subject>Geometry</subject><subject>High speed rail</subject><subject>Irregularities</subject><subject>Railroads</subject><subject>Railway networks</subject><subject>Railway track geometry irregularities</subject><subject>Railway tracks</subject><subject>Ruler method</subject><subject>Standard deviation</subject><subject>Track geometry index</subject><issn>0263-2241</issn><issn>1873-412X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNqNkM1KAzEUhYMoWKvvEHE9NX-Tad2VUn-g4EbBXbiT3LRpZzo1mRHmaXwa38uWuhBXri5cvnPgfIRcczbijOvb9ahGSF3EGrftSDBx-I-5YCdkwMeFzBQXb6dkwISWmRCKn5OLlNaMMS0nekDcfQTbQkVhC1WfQqKNp6uwXNG0Q3Q0QqjoEpsa29hTBy3c0Sm1kJCmtnP9AZ9uNxAhm6dN-PrEVYh_Cy7JmYcq4dXPHZLX-_nL7DFbPD88zaaLzEo1aTP0rPTcF_lYCys8ovJKyVzl0pfACywhR62UY2UhmeWl0tI7DboU1jvQIIfk5ti7i817h6k166aL-2HJCJXneSFVPtlTkyNlY5NSRG92MdQQe8OZOUg1a_NLqjlINUep--zsmMX9jI-A0SQbcGvRhYi2Na4J_2j5BrbMh9c</recordid><startdate>20201201</startdate><enddate>20201201</enddate><creator>Taciroğlu, Murat Vergi</creator><creator>Karaşahin, Mustafa</creator><creator>Tığdemir, Mesut</creator><creator>Işıker, Hakan</creator><general>Elsevier Ltd</general><general>Elsevier Science Ltd</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20201201</creationdate><title>Fractal analysis of high speed rail geometry data: A case study of Ankara-Eskişehir high speed rail</title><author>Taciroğlu, Murat Vergi ; Karaşahin, Mustafa ; Tığdemir, Mesut ; Işıker, Hakan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c349t-ef0bf1f75862c2fee4f4435453fba17eba5e644d0b730c1b463fd6a6b2cfda6a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Algorithms</topic><topic>Fractal analysis</topic><topic>Fractal geometry</topic><topic>Fractals</topic><topic>Geometry</topic><topic>High speed rail</topic><topic>Irregularities</topic><topic>Railroads</topic><topic>Railway networks</topic><topic>Railway track geometry irregularities</topic><topic>Railway tracks</topic><topic>Ruler method</topic><topic>Standard deviation</topic><topic>Track geometry index</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Taciroğlu, Murat Vergi</creatorcontrib><creatorcontrib>Karaşahin, Mustafa</creatorcontrib><creatorcontrib>Tığdemir, Mesut</creatorcontrib><creatorcontrib>Işıker, Hakan</creatorcontrib><collection>CrossRef</collection><jtitle>Measurement : journal of the International Measurement Confederation</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Taciroğlu, Murat Vergi</au><au>Karaşahin, Mustafa</au><au>Tığdemir, Mesut</au><au>Işıker, Hakan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fractal analysis of high speed rail geometry data: A case study of Ankara-Eskişehir high speed rail</atitle><jtitle>Measurement : journal of the International Measurement Confederation</jtitle><date>2020-12-01</date><risdate>2020</risdate><volume>165</volume><spage>108120</spage><pages>108120-</pages><artnum>108120</artnum><issn>0263-2241</issn><eissn>1873-412X</eissn><abstract>•An algorithm was developed for fractal analysis of track geometry graphs.•Medium wavelength track irregularities were quantified by fractal dimensions.•Short wavelength track irregularities were quantified by fractal dimensions.•Standard deviations and fractal dimensions of track geometry graphs were compared.
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 DR1, DR2, DR3, and DR4 were proposed to determine the geometric irregularity of the railway track by using the data of Ankara-Eskişehir High-Speed Railway track. DR1 and DR2 were used to quantify short wavelength irregularities while DR3 and DR4 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 DR3 and the standard deviation.</abstract><cop>London</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.measurement.2020.108120</doi></addata></record> |
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| source | Elsevier ScienceDirect Journals Complete - AutoHoldings |
| subjects | Algorithms Fractal analysis Fractal geometry Fractals Geometry High speed rail Irregularities Railroads Railway networks Railway track geometry irregularities Railway tracks Ruler method Standard deviation Track geometry index |
| title | Fractal analysis of high speed rail geometry data: A case study of Ankara-Eskişehir high speed rail |
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