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Gradient descent based restoration method of track irregularity in asymmetric chord reference method

非对称弦测法中基于梯度下降的轨道不平顺复原方法

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Abstract

This paper proposes a gradient descent based restoration method of track irregularity. Based on the theory of asymmetric chord-reference method (CRM), the restoration of track irregularity is described as an optimization problem for an underdetermined linear system. Gradient descent method is employed to solve this optimization problem, where a quadratic cost function considering penalization is used. To evaluate the performance of the proposed method, an inspection trolley was setup and used in a field test on a scaled bridge model. Comparison between the proposed method and level measurement validates a good accuracy of gradient descent based restoration method. Compared with traditional method which needs a specially designed inverse filter, the proposed method has a clear physical meaning, which only needs configuration of asymmetric CRM and measured chord reference value to establish the optimization model. This suggests that gradient descent method has good operability in the field test. And the repeatability assessment reveals that the proposed method has a good track irregularity restoration reproduction capacity.

摘要

本研究提出了一种基于梯度下降的轨道不平顺复原方法。基于非对称弦测法理论,轨道不平顺 的复原过程可描述为一个欠定线性系统的优化问题。本文提出采用梯度下降法求解该优化问题,采用 了考虑正则项的二次型代价函数。为了评估所提出方法的性能,本研究搭建了一个轨道检测小车,并 在一个缩尺桥梁模型上进行了现场试验。通过与水准仪测量值的比较,验证了基于梯度下降轨道不平 顺复原方法具有良好精度。与传统的需要专门设计逆滤波器的轨道不平顺复原方法相比,本研究所提 出的方法物理意义明确,只需基于非对称弦测法原理建立优化模型,这表明本方法在现场实测中具有 良好的可操作性。此外,重复性评估表明,在调整不同的弦长以及多次重复测量时,本研究所提出的 方法可复现一致的轨道不平顺结果,表明该方法具有良好的测量重复性。本研究所提出的方法可对轨 道不平顺进行准确复原,为轨道平顺性状态及时有效评估提供数据支撑,进而保证列车运行的平稳与 安全。

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Authors and Affiliations

  1. School of Civil Engineering, Central South University, Changsha, 410075, China

    Chen Zeng  (曾晨), Wei Guo  (国巍), Zhi-wu Yu  (余志武), Li-zhong Jiang  (蒋丽忠) & Sui Tan  (谈遂)

  2. National Engineering Research Center of High-speed Railway Construction Technology, Changsha, 410075, China

    Chen Zeng  (曾晨), Wei Guo  (国巍), Zhi-wu Yu  (余志武), Li-zhong Jiang  (蒋丽忠) & Sui Tan  (谈遂)

  3. School of Civil Engineering, Changsha University of Science & Technology, Changsha, 410114, China

    Han-yun Liu  (刘汉云)

  4. School of Civil Engineering and Architecture, Zhejiang University, Hangzhou, 310058, China

    Zhen Guo  (国振)

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  1. Chen Zeng  (曾晨)
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Contributions

ZENG Chen carried out the experiment and writed the draft of manuscript. GUO Wei provided the financial support for the project leading to this publication. LIU Han-yun edited the first draft of the manuscript. YU Zhi-wu provided the concept. JIANG Li-zhong conducted the literature review. GUO Zhen verified the overall reproducibility of results. TAN Sui reviewed and revised the manuscript.

Corresponding author

Correspondence to Wei Guo  (国巍).

Ethics declarations

ZENG Chen, GUO Wei, LIU Han-yun, YU Zhi-wu, JIANG Li-zhong, GUO Zhen and TAN Sui declare that they have no conflict of interest.

Additional information

Foundation item: Projects(52022113, 52278546, 52108433) supported by the National Natural Science Foundation of China; Project (2023QYJC009) supported by the Central South University Research Program of Advanced Interdisciplinary Studies, China; Project(2023ZZTS0364) supported by the Fundamental Research Funds for the Central Universities, China

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Zeng, C., Guo, W., Liu, Hy. et al. Gradient descent based restoration method of track irregularity in asymmetric chord reference method. J. Cent. South Univ. 31, 288–301 (2024). https://doi.org/10.1007/s11771-023-5449-7

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  • DOI: https://doi.org/10.1007/s11771-023-5449-7

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