Design and Analysis of Spiral Bevel Gears with Large Contact Ratio

doi:10.7652/xjtuxb202103014

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Design and Analysis of Spiral Bevel Gears with Large Contact Ratio

更新时间：2025-07-09

- Design and Analysis of Spiral Bevel Gears with Large Contact Ratio
- Vol. 55, Issue 3, Pages: 117-125(2021)
- 作者机构：
  
  长安大学道路施工技术与装备教育部重点实验室,西安,710064
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb202103014
  CLC： TH132
- Online First：10 March 2021，
  
  Published：2021
- 稿件说明：
移动端阅览
Design and Analysis of Spiral Bevel Gears with Large Contact Ratio[J]. 2021, 55(3): 117-125.
DOI：

Design and Analysis of Spiral Bevel Gears with Large Contact Ratio[J]. 2021, 55(3): 117-125. DOI： 10.7652/xjtuxb202103014.

摘要

为改善弧齿锥齿轮啮合性能

提出一种接触路径沿齿长方向的大重合度设计方法。预置沿齿长的接触路径和对称抛物线传动误差

以大轮作为假想插齿刀

共轭展成小轮辅助齿面; 先计算沿接触路径的齿面修形量

再根据轻载的弹性变形量和接触椭圆长半轴

计算出沿接触线齿面网格点的修形量

将两者叠加到小轮辅助齿面上获得小轮目标齿面; 借助遗传算法求解目标齿面所对应的小轮加工参数。通过算例表明

将接触路径设计为沿齿长方向能够获得大重合度

且重合度仅与齿宽有关

沿齿宽中线的接触路径能够获得更好的啮合性能

避免过早发生边缘接触; 齿面印痕沿齿向分布

避免内对角接触

减小齿面相对滑动速度

且在安装误差作用下

齿面印痕沿着齿高方向移动。

Abstract

In order to improve the meshing performance of spiral bevel gears

this paper proposes a design method of large contact ratio with contact path along tooth width. The auxiliary tooth surface of pinion is generated by using the wheel as the imaginary shaping and presetting the symmetric parabolic function of transmission error. The modification along contact path is firstly calculated

and then the modification of grid points on the tooth surface along contact lines is obtained according to the elastic deformation under light-load condition and the major semi-axis of the contact ellipse

superimposing both modifications on the auxiliary tooth surface of pinion to obtain the target tooth surface of the pinion. Finally

the machine-tool settings corresponding to the target tooth surface of the pinion are solved by the genetic algorithm. The numerical example shows that a large contact ratio can be obtained by designing the contact path along the tooth width

and the contact ratio is only related to the tooth width; the contact path along mid line of tooth width provides better meshing performance than along pitch line

which can avoid early edge contact. The tooth contact pattern is distributed along the tooth width direction

so as to avoid internal diagonal contact and reduce the relative sliding velocity between the meshing tooth surfaces

the tooth contact pattern moves along tooth height direction under the assemble errors.

关键词

Keywords

references

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