考虑圆弧修形和交错角的人字齿轮啮合行为分析

侯晓燕; 王曦; 周越

doi:10.7652/xjtuxb202504017

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考虑圆弧修形和交错角的人字齿轮啮合行为分析

—————————————————————— | 更新时间：2026-01-06

- 考虑圆弧修形和交错角的人字齿轮啮合行为分析
- Analysis on the Meshing Behavior of Double Helical Gear Considering Arc Modification and Stagger Angle
- 西安交通大学学报 2025年59卷第4期页码：180-192
- 作者机构：
  
  1.北京交通大学机械与电子控制工程学院， 100044，北京
  2.北京交通大学智慧高铁系统前沿科学中心， 100044，北京
- 作者简介：
  
  侯晓燕（2000—），女，硕士生；
  王曦（通信作者），男，教授，博士生导师。
- 基金信息：
  
  国家自然科学基金资助项目(12302238);中央高校基本科研业务费专项资金资助项目(2022JBQY007)
- DOI：10.7652/xjtuxb202504017
  中图分类号： TH132.41
- 收稿：2024-09-21，
  
  网络首发：2024-11-28，
  
  纸质出版：2025-04-10
- 稿件说明：
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侯晓燕, 王曦, 周越. 考虑圆弧修形和交错角的人字齿轮啮合行为分析[J]. 西安交通大学学报, 2025,59(4):180-192.

HOU Xiaoyan, WANG Xi, ZHOU Yue. Analysis on the Meshing Behavior of Double Helical Gear Considering Arc Modification and Stagger Angle[J]. Journal of Xi’an Jiaotong University, 2025, 59(4): 180-192.
侯晓燕, 王曦, 周越. 考虑圆弧修形和交错角的人字齿轮啮合行为分析[J]. 西安交通大学学报, 2025,59(4):180-192. DOI： 10.7652/xjtuxb202504017.

HOU Xiaoyan, WANG Xi, ZHOU Yue. Analysis on the Meshing Behavior of Double Helical Gear Considering Arc Modification and Stagger Angle[J]. Journal of Xi’an Jiaotong University, 2025, 59(4): 180-192. DOI： 10.7652/xjtuxb202504017.

摘要

针对人字齿轮制造加工导致左、右齿面存在不同程度的对称性偏差，以及传统轴向位移迭代法受误差尺度限制的问题，以某型高速列车人字齿轮为研究对象，提出了一种新的轴向位移迭代方法，并建立人字齿轮承载接触分析（LTCA）模型。该模型以有限元法和有限长线接触理论为基础，在载荷-变形协调方程中考虑不同啮合点处螺旋角的差异，采用牛顿迭代法计算主动齿轮轴向位移，通过LTCA模型分析了轮齿圆弧修形与齿面交错角对啮合激励和载荷分布的影响。研究结果表明：牛顿迭代法可适用于含不同误差类型的人字齿轮LTCA模型，且小误差下牛顿迭代法比传统迭代法的计算时间减少70%，圆弧修形量从2 μm增至15 μm，时变啮合刚度均值降低38%，啮合误差均值提高39%；当输入扭矩为500 N·m时，两侧齿面中部最大法向啮合力由100 N增大到370 N；随着齿面交错角的增大，时变啮合刚度均值提高，啮合误差均值减小，交错角相位差从0增加到π，时变啮合刚度、啮合误差的幅值分别降低了54%和79%。该研究结果可为人字齿轮啮合稳定性的提高提供新思路。

Abstract

In response to the asymmetrical deviations in the left and right tooth surfaces caused by the manufacturing and processing of double helical gears

as well as the limitations of traditional axial displacement iterative methods due to error scale

a new axial displacement iterative method is proposed based on a certain type of high-speed train double helical gear. A loaded tooth contact analysis (LTCA) model is established based on the finite element method (FEM) and finite line contacts theory. It considers the difference of helix angles on different meshing points in the load-deformation coordination equation. The Newton iterative method is used to calculate the axial displacement of the driving gear. The LTCA model is employed to analyze the effects of circular arc modification and tooth surface interference angle on meshing excitation and load distribution. The research results indicate that the Newton iterative method is suitable for the LTCA model of double helical gears with different types of different types of errors. Under small errors

the Newton iterative method reduces the calculation time by 70% compared to traditional iterative methods. With the arc modification increasing from 2 μm to 15 μm

the time-varying meshing stiffness decreases by 38%

the average meshing error increases by 39%

and the maximum normal meshing force at the middle of the tooth surface increases from 100 N to 370 N when the input torque is 500 N·m. As the tooth surface stagger angle increases

the average time-varying meshing stiffness increases

the average meshing error decreases

and the phase difference of the stagger angle increases from 0 to π. The amplitude of the time-varying meshing stiffness and meshing error decreases by 54% and 79%

respectively. These research findings provide new insights for improving the meshing stability of double helical gears.

关键词

Keywords

references

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