Contact Analysis and Tooth Profile Optimization Design of Rack and Pinion for Rack-rail Trains Based on the Finite-length Line Contact Theory

Lei Huanhuan; Zhao Jiadong; Zhi Yanfeng; Shi Lubing; Zhao Yukai; Yue Zihao

doi:10.16578/j.issn.1004.2539.2024.06.019

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Contact Analysis and Tooth Profile Optimization Design of Rack and Pinion for Rack-rail Trains Based on the Finite-length Line Contact Theory

Test·Analysis | 更新时间：2024-06-19

- Contact Analysis and Tooth Profile Optimization Design of Rack and Pinion for Rack-rail Trains Based on the Finite-length Line Contact Theory
- Journal of Mechanical Transmission Vol. 48, Issue 6, Pages: 124-132(2024)
- 作者机构：
  
  郑州机械研究所有限公司，河南郑州 450001
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2024.06.019
  CLC：
- Published：15 June 2024，
  
  Received：01 March 2024，
  
  Revised：11 March 2024，
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雷欢欢,赵家栋,职彦锋等.基于有限长线接触理论的齿轨列车齿轮齿条接触分析及齿形优化设计[J].机械传动,2024,48(06):124-132.

Lei Huanhuan,Zhao Jiadong,Zhi Yanfeng,et al.Contact Analysis and Tooth Profile Optimization Design of Rack and Pinion for Rack-rail Trains Based on the Finite-length Line Contact Theory[J].Journal of Mechanical Transmission,2024,48(06):124-132.
雷欢欢,赵家栋,职彦锋等.基于有限长线接触理论的齿轨列车齿轮齿条接触分析及齿形优化设计[J].机械传动,2024,48(06):124-132. DOI： 10.16578/j.issn.1004.2539.2024.06.019.

Lei Huanhuan,Zhao Jiadong,Zhi Yanfeng,et al.Contact Analysis and Tooth Profile Optimization Design of Rack and Pinion for Rack-rail Trains Based on the Finite-length Line Contact Theory[J].Journal of Mechanical Transmission,2024,48(06):124-132. DOI： 10.16578/j.issn.1004.2539.2024.06.019.

摘要

为了探究齿轨列车曲线行驶时驱动齿轮与齿条轨道啮合中心距误差和轴线不平行度误差对接触应力分布的影响，基于有限长线接触理论，建立了综合考虑两种误差的齿轮齿条接触应力分析模型；通过与误差条件下的齿轮齿条接触有限元仿真进行对比，证明建立的模型具有良好的计算精度。基于该模型，研究了不同误差水平和综合两类误差作用下的接触应力响应，揭示了两类误差对接触应力分布的影响机理，并据此提出应对措施。研究结果表明，提出的接触应力分析模型能准确反映啮合中心距误差和轴线不平行度误差综合作用下齿轮齿条的接触情况；接触应力水平随啮合中心距误差的增大而增大，接触应力轴向不均匀程度随轴线不平行度误差的增大而增大；啮合中心距误差会加剧轴线不平行度误差引起的轴向接触应力不均匀性，轴线不平行度误差对啮合中心距误差的作用效果有轻微的抑制作用；啮合中心距误差的内在作用机理是减小了相同载荷水平处的承载面积，轴线不平行误差的内在作用机理是曲线内侧的齿轮齿条率先接触，产生了更大的变形；齿轮挖根可消除轴线不平行误差的影响，齿轮螺旋线修形可降低轴线不平行误差的影响。

Abstract

In order to investigate the influence of the error of center distance between the driving pinion and rack track meshing and the error of axis non-parallelism on the contact stress distribution during the curved driving of rack-rail trains

an analytical model of rack and pinion contact stresses is established based on the finite-length line contact theory by considering the two kinds of errors comprehensively. Comparison with the finite element simulation of rack and pinion contact under error conditions shows that the established model has good computational accuracy. Based on the model

the contact stress response under different error levels and the combined two types of errors are investigated

the effects of the two types of errors on the contact stress distribution are revealed

and countermeasures are proposed accordingly. The results show that the proposed contact stress analysis model can accurately respond to the contact condition of the rack and pinion under the combined effect of the meshing center distance error and the axial non-parallelism error. The contact stress level increases with the increase of the meshing center distance error. The degree of axial non-uniformity of contact stresses increases with the increase of axis non-parallelism error. The meshing center distance error enhances the axial contact stress inhomogeneity caused by the axial non-parallelism error

and the axial non-parallelism error has a slight inhibitory effect on the effect of the meshing center distance error. The intrinsic mechanism of the meshing center distance error is the reduction of the load carrying area at the same load level

and the intrinsic mechanism of the axial non-parallelism error is the greater deformation produced by the rack and pinion taking the lead in contact on the inside of the curve. Root gouging of the pinion eliminates the effect of axial non-parallelism error

and helix modification of the pinion reduces the effect of axial non-parallelism error.

关键词

齿轨列车有限长线接触理论齿轮齿条啮合中心距误差轴线不平行度误差齿形优化

Keywords

Rack-rail trainThe finite-length line contact theoryRack and pinionMeshing center distance errorAxis non-parallelism errorTooth profile optimization

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