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Journals / Demiryolu Mühendisliği / 2022 / Sayı: 16

Fractal Analysis of Railway Track Geometry

Demiryolu Hat Geometrisinin Fraktal Analizi

Murat Vergi Taciroğlu(MERSİN ÜNİVERSİTESİ)0000-0002-0672-1672
Mustafa Karasahin(İSTANBUL GELİŞİM ÜNİVERSİTESİ)0000-0003-0469-4348
Mesut Tigdemir(SÜLEYMAN DEMİREL ÜNİVERSİTESİ)0000-0002-5303-2722
Hakan Işıker(MERSİN ÜNİVERSİTESİ, MÜHENDİSLİK FAKÜLTESİ, ELEKTRİK-ELEKTRONİK MÜHENDİSLİĞİ BÖLÜMÜ)0000-0002-6465-8480
Pages
170–184
Publication Date
2022-07-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Accordingly, there is a strong relationship between the proposed fractal dimension and the standard deviation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The railway track has a non-uniform wavy geometry in the horizontal and vertical planes, as seen in the graphs produced by track geometry recording cars.
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Key Findings & Data:The roughness of the track geometry can be expressed numerically using fractal dimensions if this geometric structure is considered a fractal pattern.
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Conclusion & Impact:Accordingly, there is a strong relationship between the proposed fractal dimension and the standard deviation.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Hat geometrisi · Fraktal analiz · Kalite indeksi.

Abstract

The railway track has a non-uniform wavy geometry in the horizontal and vertical planes, as seen in the graphs produced by track geometry recording cars. The roughness of the track geometry can be expressed numerically using fractal dimensions if this geometric structure is considered a fractal pattern. In this study, fractal analysis method was used to determine the geometric roughness of the Ankara-Eskişehir High-Speed Railway track. A calculation algorithm based on the ruler method was used to calculate fractal dimensions. Fractal dimensions are calculated for alignment and longitudinal level graphs. According to the calculations, it has been determined that the general unevenness of the line geometry can be expressed numerically with the fractal dimension. At the end of the study, the relationship between the standard deviation of geometric parameters, which are indicators of track quality, and fractal dimensions, was investigated. Accordingly, there is a strong relationship between the proposed fractal dimension and the standard deviation.

Özet

Hat geometrisi muayene araçlarıyla yapılan ölçümlerden elde edilen grafiklere göre demiryolu hattı yatay ve düşey düzlemlerde düzgün olmayan dalgalı bir geometriye sahiptir. Bu geometrik yapı fraktal desen olarak göz önüne alındığında hat geometrisinin düzgünsüzlüğü fraktal boyutlar yardımı ile sayısal olarak ifade edilebilir. Bu çalışmada Ankara-Eskişehir Yüksek Hızlı Tren (YHT) hattının geometrik düzgünsüzlüğünü belirlemek için fraktal analiz metodundan faydalanılmıştır. Fraktal boyutları hesaplamak için cetvel metodunu temel alan bir hesap algoritması kullanılmıştır. Fraktal boyutlar fleş ve nivelman grafikleri için hesaplanmıştır. Yapılan hesaplamalara göre, hat geometrisinin genel düzgünsüzlüğünün fraktal boyut ile sayısal olarak ifade edilebildiği belirlenmiştir. Çalışmanın sonunda hat kalitesinin göstergesi olan geometrik parametrelerin standart sapması ile fraktal boyutlar arasındaki ilişki araştırılmıştır. Buna göre önerilen fraktal boyut ile standart sapma arasında güçlü bir ilişki vardır.

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Cite This Article

Taciroğlu, M. V., Karasahin, M., Tigdemir, M., Işıker, H. (2022). Fractal Analysis of Railway Track Geometry. Demiryolu Mühendisliği, Sayı: 16, 170–184. https://doi.org/10.47072/demiryolu.1130088

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