Universal Mathematical Model and Tooth Flank Comparison of Spiral Bevel Gear and Cycloid Bevel Gear

Nie Shaowu; Deng Xiaozhong; Wei Bingyang; Li Jubo

doi:10.16578/j.issn.1004.2539.2016.06.001

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Universal Mathematical Model and Tooth Flank Comparison of Spiral Bevel Gear and Cycloid Bevel Gear

更新时间：2022-10-20

- Universal Mathematical Model and Tooth Flank Comparison of Spiral Bevel Gear and Cycloid Bevel Gear
- Vol. 40, Issue 6, Pages: 1-5(2016)
- 作者机构：
  
  1. 河南科技大学机电工程学院
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2016.06.001
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[1]聂少武,邓效忠,魏冰阳,李聚波.弧齿锥齿轮与摆线齿锥齿轮统一数学模型及齿面比较[J].机械传动,2016,40(06):1-5.

Nie Shaowu, Deng Xiaozhong, Wei Bingyang, et al. Universal Mathematical Model and Tooth Flank Comparison of Spiral Bevel Gear and Cycloid Bevel Gear. [J]. 40(6):1-5(2016)
[1]聂少武,邓效忠,魏冰阳,李聚波.弧齿锥齿轮与摆线齿锥齿轮统一数学模型及齿面比较[J].机械传动,2016,40(06):1-5. DOI： 10.16578/j.issn.1004.2539.2016.06.001.

Nie Shaowu, Deng Xiaozhong, Wei Bingyang, et al. Universal Mathematical Model and Tooth Flank Comparison of Spiral Bevel Gear and Cycloid Bevel Gear. [J]. 40(6):1-5(2016) DOI： 10.16578/j.issn.1004.2539.2016.06.001.

摘要

针对弧齿等高齿锥齿轮和摆线等高齿锥齿轮这两种齿制,构建了统一数学模型,并进行了齿面比较。首先对这两种齿制加工刀盘结构进行了分析,建立了统一的刀盘数学模型。其次,分析了这两种齿制的加工运动和加工过程,建立了统一的切齿加工数学模型。在求解出齿面的基础上,从齿线螺旋角及齿面拓扑形貌两个方面对弧齿等高齿锥齿轮和摆线等高齿锥齿轮的齿面几何进行了比较分析。为弧齿铣刀粗切摆线齿提供理论指导。

Abstract

Aiming to the spiral bevel gears and cycloid bevel gears,the universal mathematical model is established,and the tooth flank geometry comparison is carried out. Firstly,the two kinds of cutter head structure are analyzed,and the universal cutter head model is set up. Secondly,the cut motion and manufacture process for two systems are analyzed,and the universal mathematical model is established. On basis of solving the tooth flank,the tooth flank comparison for spiral bevel gears and cycloid bevel gears is carried out from aspect of tooth line spiral angle and tooth flank topology. This will provide theoretical guide for cycloid bevel gears rough cut by use of spiral bevel gear cutter.

关键词

弧齿锥齿轮摆线齿锥齿轮刀盘模型统一数学模型齿面几何比较

Keywords

Spiral bevel gearCycloid bevel gearCutter head modelUniversal mathematical modelTooth flank geometry comparison

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