Spatial Tooth Profile Design and Optimization Analysis of Involute Harmonic Gear

Hongyan Wu; Xiaoxia Chen; Jingzhong Xing

doi:10.16578/j.issn.1004.2539.2021.08.019

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Spatial Tooth Profile Design and Optimization Analysis of Involute Harmonic Gear

Test·Analysis | 更新时间：2022-11-10

- Spatial Tooth Profile Design and Optimization Analysis of Involute Harmonic Gear
- Journal of Mechanical Transmission Vol. 45, Issue 8, Pages: 130-138(2021)
- 作者机构：
  
  1.天津工业大学天津市现代机电装备技术重点实验室，天津 300387
  2.天津职业技术师范大学工程实训中心，天津 300222
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2021.08.019
  CLC：
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吴鸿雁,陈晓霞,邢静忠.渐开线谐波齿轮空间齿廓设计及优化分析[J].机械传动,2021,45(08):130-138.

Wu Hongyan,Chen Xiaoxia,Xing Jingzhong.Spatial Tooth Profile Design and Optimization Analysis of Involute Harmonic Gear[J].Journal of Mechanical Transmission,2021,45(08):130-138.
吴鸿雁,陈晓霞,邢静忠.渐开线谐波齿轮空间齿廓设计及优化分析[J].机械传动,2021,45(08):130-138. DOI： 10.16578/j.issn.1004.2539.2021.08.019.

Wu Hongyan,Chen Xiaoxia,Xing Jingzhong.Spatial Tooth Profile Design and Optimization Analysis of Involute Harmonic Gear[J].Journal of Mechanical Transmission,2021,45(08):130-138. DOI： 10.16578/j.issn.1004.2539.2021.08.019.

摘要

为了提高渐开线齿廓谐波齿轮的啮合性能，利用柔轮装配变形的包络精确算法获得了设计截面内共轭齿廓离散点，基于渐开线特征对共轭齿廓离散点拟合，得出刚轮渐开线齿廓。考虑柔轮锥度变形的影响，建立了侧隙优化控制模型，对不同径向位移下柔轮截面的变位系数进行了优化。部分柔轮截面在减小齿廓工作段高的基础上再选择合理变位系数，设计出满足空间啮合要求的渐开线齿廓谐波齿轮，并通过运动仿真分析对设计结果进行了验证。结果表明，相对于设计截面，最大径向位移增大的截面通过减小变位系数可避免干涉，最大径向位移减小的截面通过增大变位系数可获得良好啮合性能；变位系数调整量与该截面至设计截面间的距离成近似线性关系。对最大径向位移减小幅度较大而引起干涉的柔轮后端截面，需减小柔轮齿高并合理改变变位系数，才可获得良好的啮合性能。相比平面齿廓，所设计的空间齿廓能增大啮合区间和齿廓接触面积，较大幅度提升传动性能。

Abstract

In order to improve the meshing performance of the involute tooth profile harmonic gear， the conjugate tooth profile discrete points in design section are obtained with an exact conjugate algorithm using assembly deformation of the flexspline，and the involute tooth profile of circular spline is obtained by fitting the conjugate tooth profile discrete points based on the involute features. Considering the influence of flexspline taper deformation， clearance optimal control model is established to optimize the modification coefficient of the flexspline section with different radial displacement， choose reasonable modification coefficient for part of the flexspline section on the basis of reducing tooth profile high. The harmonic gear with involute tooth profile that meets the requirements of spatial meshing is designed， and the design result is verified by the movement simulation analysis. The results show that， compared with the design section，the section with the maximum radial displacement increasing can avoid interference by reducing the modification coefficient，and the section with the maximum radial displacement decreasing can obtain good meshing performance by increasing the modification coefficient. In order to obtain good meshing performance， it is necessary to reduce the tooth height and reasonably change the modification coefficient of the flexspline when the maximum radial displacement decreases greatly and the interference occurs at the back section of the flexspline. Compared with the plane tooth profile， the designed spatial tooth profile can increase the engagement range and tooth profile contact area，and greatly improve the transmission performance.

关键词

渐开线齿廓谐波齿轮空间啮合参数优化

Keywords

Involute tooth profileHarmonic gearSpatial meshingParameter optimization

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