Design and Tooth Profile Error Analysis of Double-Circular-Arc Harmonic Flexspline Hob with Positive Rake Angle

doi:10.7652/xjtuxb202101016

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Design and Tooth Profile Error Analysis of Double-Circular-Arc Harmonic Flexspline Hob with Positive Rake Angle

更新时间：2025-07-09

- Design and Tooth Profile Error Analysis of Double-Circular-Arc Harmonic Flexspline Hob with Positive Rake Angle
- Vol. 55, Issue 1, Pages: 127-135(2021)
- 作者机构：
  
  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：10.7652/xjtuxb202101016
  CLC： TH132.43
- Online First：10 January 2021，
  
  Published：2021
- 稿件说明：
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Design and Tooth Profile Error Analysis of Double-Circular-Arc Harmonic Flexspline Hob with Positive Rake Angle[J]. 2021, 55(1): 127-135.
DOI：

Design and Tooth Profile Error Analysis of Double-Circular-Arc Harmonic Flexspline Hob with Positive Rake Angle[J]. 2021, 55(1): 127-135. DOI： 10.7652/xjtuxb202101016.

摘要

为解决正前角双圆弧谐波传动柔轮滚刀(DFHP)结构设计复杂与加工精度控制难度高的问题

从实际加工出发

建立了DFHP前刀面切削刃精确齿廓与滚削加工数值仿真模型。为探究DFHP前角与顶刃后角对DFHP加工误差的影响

进行了滚刀加工数值仿真; 同时为降低DFHP的加工误差

将传统正前角滚刀的法向齿形作为无理论误差DFHP的等效齿形

重新设计了DFHP三维实体模型。结果表明:DFHP等效齿形误差及其加工出柔轮的齿形误差均随滚刀正前角与顶刃后角增大而增大; 采用无理论误差DFHP设计方法使得柔轮的齿形误差从6.2 μm降低至0.14 μm。因此

减小DFHP的前角与顶刃后角可以减小DFHP的加工误差

同时新的DFHP设计方法不但能构建出精确的DFHP三维实体模型

而且可以有效降低DFHP的加工误差

为提升DFHP加工精度研究提供了参考。

Abstract

To solve the difficulties in the design of the double-circular-arc harmonic hob with positive rake angle(DFHP)and in the control of tooth profile error

considering actual machining

the precise conjugate tooth profile of the cutting edge on rake face and a mathematical simulation model for the hobbing of flexspline are established. For studying the influences of DFHP’s rake angle and top edge clearance angle on the machining error of DFHP

a mathematical simulation of hob machining is carried out. In order to reduce the machining error of DFHP

the normal tooth profile of the traditional positive rake hob is regarded as the equivalent tooth profile of DFHP without theoretical error

and the DFHP three-dimensional solid model is redesigned. The results show that the tooth profile errors of the equivalent tooth profile of DFHP and the machined flexspline increase with the positive rake angle and the top edge clearance angle of the hob. The DFHP design method without theoretical error reduces the tooth profile error of the flexspline from 6.2 microns to 0.14 microns. So reducing the rake angle and top edge clearance angle of DFHP can reduce the machining error of DFHP

and the new DFHP design method can not only construct an accurate DFHP three-dimensional solid model

but also effectively reduce the machining error of DFHP.

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