Research of Design Method of Bevel Gear Tooth Profile based on Conical Involute

Hou Hongling; Xing Si; Shu Linsen

doi:10.16578/j.issn.1004.2539.2016.07.003

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Research of Design Method of Bevel Gear Tooth Profile based on Conical Involute

更新时间：2022-10-20

- Research of Design Method of Bevel Gear Tooth Profile based on Conical Involute
- Vol. 40, Issue 7, Pages: 12-15(2016)
- 作者机构：
  
  1. 陕西理工学院机械学院
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2016.07.003
  CLC：
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[1]侯红玲,邢思,舒林森.基于锥面渐开线的锥齿轮齿廓设计方法研究[J].机械传动,2016,40(07):12-15.

Hou Hongling, Xing Si, Shu Linsen. Research of Design Method of Bevel Gear Tooth Profile based on Conical Involute. [J]. 40(7):12-15(2016)
[1]侯红玲,邢思,舒林森.基于锥面渐开线的锥齿轮齿廓设计方法研究[J].机械传动,2016,40(07):12-15. DOI： 10.16578/j.issn.1004.2539.2016.07.003.

Hou Hongling, Xing Si, Shu Linsen. Research of Design Method of Bevel Gear Tooth Profile based on Conical Involute. [J]. 40(7):12-15(2016) DOI： 10.16578/j.issn.1004.2539.2016.07.003.

摘要

为了使锥齿轮齿廓更加接近其理论上的球面渐开线,提出锥面渐开线的概念,应用锥面渐开线进行锥齿轮齿廓的设计,即直接在锥面上形成锥齿轮渐开线齿廓;锥面渐开线能够展开在平面上,从而便于锥齿轮的设计制造;利用逆展的方法建立了扇形圆柱齿轮平面渐开线与锥面渐开线之间的映射关系,并推导出了直角坐标系下锥面渐开线的参数方程。应用推导的锥面渐开线方程建立了锥齿轮的齿廓,最终生成了基于锥面渐开线的锥齿轮参数化模型,进行了建模精度的分析,验证了该建模方法的可行性。

Abstract

In order to making the tooth profile of bevel gear be close to its theoretical spherical involute,a design method of the tooth profile of bevel gear using conical involute is proposed,that is forming the involute tooth profile of bevel gears on the back cone surface directly. The conical involute can be expanded on plane,so the design and manufacturing of bevel gear become convenient. The mapping relation between plane involute of equivalent gear and conical involute are established by using the method of converse expansion,and the parameter equation of conical involute is derived in a rectangular coordinate system. The tooth profile of bevel gear is created by using the derived conical involute equation,and the parametric model of bevel gear is generated based on the conical involute eventually,the modeling accuracy is analyzed,the feasibility of the modeling method is verified.

关键词

锥齿轮锥面渐开线参数方程逆展法

Keywords

Bevel gearConical involuteParameter equationConverse expansion method

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