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A new approach for solving three-dimensional elasto-plastic wheel-rail normal contact problems

一种求解三维弹塑性轮轨法向接触问题的新方法

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Abstract

A new approach for solving three-dimensional elasto-plastic wheel-rail normal contact problems is presented, which is used to obtain the normal contact pressure distribution in the wheel-rail contact patch and its interior. First, the potential contact region dispersed by rectangular blocks is given. Then, the normal contact pressure in each block is iterated using the conjugate gradient algorithm, and the contact patch and normal contact pressure distribution under elastic conditions are obtained. After that, based on the proposed normal contact pressure correction equation and grid size correction equation, the size and normal contact pressure of each block are corrected, and so the normal contact pressure considering plastic deformation is obtained. Finally, the wheel-rail normal contact pressure under different lateral displacements and normal forces is calculated using the finite element method, and the accuracy of the proposed method is verified. Results show that the computational efficiency of the proposed approach is much higher than that of the conventional finite element method, which can provide new inspiration for railway dynamics computation.

摘要

提出了一种求解三维弹塑性轮轨法向接触问题的新方法, 用于求解弹塑性轮轨接触下的接触斑和法向接触压力分布. 首先, 该 方法通过矩形网格离散可能的接触区域; 然后, 采用共轭梯度法对每个矩形网格中的法向接触压力进行迭代求解, 获取弹性情况下的 接触斑和法向接触压力分布; 进而, 通过提出的弹塑性修正方法, 对每个矩形网格的尺寸和法向接触压力进行修正, 得到弹塑性情况下 的轮轨接触斑和法向接触压力分布; 最后, 基于不同横移量和法向合力下的有限元计算结果, 对该方法进行验证. 结果表明, 该方法具 有较高的计算精度和计算效率, 可为轮轨接触问题的研究提供参考.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. U21A20167, 12072295, 12192214, and 12192210), Applied Basic Research Project of Sichuan Province (Grant No. 2021YJ0050) and Fundamental Research Funds for the Central Universities (Grant No. 2682021ZTPY098).

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Authors and Affiliations

  1. Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu, 611756, China

    Jizhong Zhao  (赵吉中), Peilin Fu  (伏培林), Hongchen Miao  (苗鸿臣) & Qianhua Kan  (阚前华)

  2. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu, 610031, China

    Zefeng Wen  (温泽峰)

  3. Key Laboratory of High-speed Railway Engineering, Ministry of Education, Southwest Jiaotong University, Chengdu, 610031, China

    Rong Chen  (陈嵘)

Authors
  1. Jizhong Zhao  (赵吉中)
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  2. Peilin Fu  (伏培林)
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  3. Hongchen Miao  (苗鸿臣)
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  4. Zefeng Wen  (温泽峰)
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  5. Rong Chen  (陈嵘)
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  6. Qianhua Kan  (阚前华)
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Contributions

Jizhong Zhao: Conceptualization, Methodology, Writing–original draft, Writing–review & editing, Software, Validation. Peilin Fu: Writing–review & editing. Hongchen Miao: Writing–review & editing. Zefeng Wen: Methodology, Writing–review & editing, Supervision. Rong Chen: Funding acquisition. Qianhua Kan: Conceptualization, Methodology, Writing–review & editing, Supervision, Funding acquisition.

Corresponding author

Correspondence to Qianhua Kan  (阚前华).

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On behalf of all authors, the corresponding author states that there is no conflict of interest.

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Zhao, J., Fu, P., Miao, H. et al. A new approach for solving three-dimensional elasto-plastic wheel-rail normal contact problems. Acta Mech. Sin. 39, 423074 (2023). https://doi.org/10.1007/s10409-023-23074-x

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