Research on characterization methods for track irregularities

Lifeng Xin , Lei Xu , Jiaxin Zhang , Menglin Pei , Jianfeng Mao , Dangxiong Wang

Railway Engineering Science ›› 2026, Vol. 34 ›› Issue (1) : 25 -39.

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Railway Engineering Science ›› 2026, Vol. 34 ›› Issue (1) :25 -39. DOI: 10.1007/s40534-024-00367-z
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Research on characterization methods for track irregularities

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Abstract

The characterization of track irregularities is crucial in railway dynamics, as track irregularities are the primary source of internal excitation in railway systems. In this paper, three mathematical models are proposed to characterize the track irregularities under different circumstances. The first model is a novel explicit track spectrum function, which performs better in reflecting the inherent periodic components of track irregularities than the existing track spectra. On this foundation, the second model, a parameterized track spectrum random model, is proposed to represent the vast measured track irregularities from the probabilistic perspective. Finally, the third model, an imprecise track spectrum interval model based on a neighborhood uniform sampling Bootstrap method, is presented to identify the confidential interval of the track spectra when the track irregularity data are limited. Three examples are illustrated to demonstrate the feasibility of the three track irregularity models in characterizing the track irregularities in different conditions. This research can help capture the railway deformation status and optimize track maintenance strategies.

Keywords

Railway / Track irregularity / Power spectral density / Characterization / Random model / Imprecise track spectrum

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Lifeng Xin, Lei Xu, Jiaxin Zhang, Menglin Pei, Jianfeng Mao, Dangxiong Wang. Research on characterization methods for track irregularities. Railway Engineering Science, 2026, 34(1): 25-39 DOI:10.1007/s40534-024-00367-z

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Funding

National Natural Science Foundation of China(52208445)

Fundamental Research Funds for Central Universities of the Central South University(G2021KY05105)

Basic Research Program of Natural Science in Shaanxi Province(2022JQ-369)

Open Foundation of National Engineering Laboratory for High Speed Railway Construction(HSR202001)

Youth Talent Support Program Project of Xi′an Association for Science and Technology(959202413090)

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