Tooth Profile Design of Tri-arc Harmonic Gear Drive

Xiao Jichang; He Xiaofei; Yang Yong; Wang Jiaxu; Huang Yanyan; Zhou Qinghua

doi:10.16578/j.issn.1004.2539.2019.10.010

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Tooth Profile Design of Tri-arc Harmonic Gear Drive

更新时间：2022-10-25

- Tooth Profile Design of Tri-arc Harmonic Gear Drive
- Journal of Mechanical Transmission Issue 10, Pages: 51-55(2019)
- 作者机构：
  
  1.四川大学空天科学与工程学院，四川成都 610065
  2.重庆大学机械传动国家重点实验室，重庆 400044
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2019.10.010
  CLC：
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肖季常,贺小飞,杨勇等.三圆弧谐波齿轮传动齿廓设计[J].机械传动,XXXX,XX(XX):51-55.

Xiao Jichang,He Xiaofei,Yang Yong,et al.Tooth Profile Design of Tri-arc Harmonic Gear Drive[J].Journal of Mechanical Transmission,XXXX,XX(XX):51-55.
肖季常,贺小飞,杨勇等.三圆弧谐波齿轮传动齿廓设计[J].机械传动,XXXX,XX(XX):51-55. DOI： 10.16578/j.issn.1004.2539.2019.10.010.

Xiao Jichang,He Xiaofei,Yang Yong,et al.Tooth Profile Design of Tri-arc Harmonic Gear Drive[J].Journal of Mechanical Transmission,XXXX,XX(XX):51-55. DOI： 10.16578/j.issn.1004.2539.2019.10.010.

摘要

基于谐波齿轮传动共轭精确求解方法，提出三圆弧谐波齿轮传动齿廓设计方法，并研究了三圆弧柔轮齿廓参数对谐波传动共轭区间的影响。研究结果表明，三圆弧谐波齿轮传动较双圆弧谐波齿轮传动具有更宽的共轭区间和更小的共轭间隔区间；减少凸齿廓圆弧半径有利于增加谐波传动共轭区间，但不利于减少共轭间隔区间；减少中间圆弧半径、夹角, $δ_{1}$ ,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=36092028&type=,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=36092024&type=,2.79399991,3.72533321,和, $δ_{2}$ ,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=36092034&type=,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=36092031&type=,2.79399991,3.72533321,既利于增加谐波传动共轭区间，也利于减少共轭间隔区间；凹齿廓圆弧半径对实际共轭区间影响很小。合理选择柔轮齿廓参数可有效减少共轭间隔区间，增加共轭区，减少尖点啮合，增加齿间共轭接触，从而提高谐波齿轮传动精度和扭转刚度。

Abstract

Based on the exact conjugate method of harmonic gear drive， the tooth profile design method of the tri-arc harmonic gear drive is proposed and the influence of flex spline profile parameters on the conjugate interval are studied. The research results show that the tri-arc harmonic gear drive has a wider conjugate zone and a smaller interval between conjugate zones than the double circular arc harmonic drive. Reducing the radius of the convex tooth profile is helpful to increase the conjugate zone, but not conducive to reduce the interval between conjugate zones. Reducing the radius of the intermediate arc, the angles and are help to increase the conjugate zone, and also to reduce the interval between conjugate zones. The radius of the concave profile has little effect on the actual conjugate zone. Appropriate profile parameters of flex spline can bring a wider conjugate zone and shrink the interval between conjugate zones, which may facilitate the conjugate contact between the teeth as well as the improvement of transmission accuracy and torsional stiffness of harmonic drive.

关键词

谐波传动三圆弧齿廓齿廓参数共轭区间

Keywords

Harmonic driveTri-arc tooth profileTooth profile parameterConjugate zone

references

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董惠敏.基于柔轮变形函数的谐波齿轮传动运动几何学及其啮合性能研究[D].大连:大连理工大学，2008:20，55-75.

姚云鹏.摆线齿廓谐波齿轮啮合性能研究与有限元仿真[D].天津：天津工业大学，2016：6-7.

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