Design Defect Analysis of N-Lobed Non-circular Bevel Gear

Liu Qinqin; Lü Gang

doi:10.16578/j.issn.1004.2539.2016.05.020

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Design Defect Analysis of N-Lobed Non-circular Bevel Gear

更新时间：2022-10-20

- Design Defect Analysis of N-Lobed Non-circular Bevel Gear
- Vol. 40, Issue 5, Pages: 83-87(2016)
- 作者机构：
  
  1. 四川大学锦城学院机械工程系
  2. 浙江大学自贡创新中心机电装备及智能控制研发中心
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2016.05.020
  CLC：
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[1]刘琴琴,吕刚.N叶非圆锥齿轮的设计缺陷分析[J].机械传动,2016,40(05):83-87.

Liu Qinqin, Lü Gang. Design Defect Analysis of N-Lobed Non-circular Bevel Gear. [J]. 40(5):83-87(2016)
[1]刘琴琴,吕刚.N叶非圆锥齿轮的设计缺陷分析[J].机械传动,2016,40(05):83-87. DOI： 10.16578/j.issn.1004.2539.2016.05.020.

Liu Qinqin, Lü Gang. Design Defect Analysis of N-Lobed Non-circular Bevel Gear. [J]. 40(5):83-87(2016) DOI： 10.16578/j.issn.1004.2539.2016.05.020.

摘要

针对N叶非圆锥齿轮节曲线会产生不连续等问题,提出了一种新的非圆锥齿轮节曲线的设计方法,该方法有效简化了非圆锥齿轮的设计。推导了非圆锥齿轮的节锥与球面的交线方程,以该交线作为非圆锥齿轮的节曲线,以球面渐开线锥齿轮为非圆锥齿轮的产形刀具,建立了刀具的节面与非圆锥齿轮节面的数学模型。依据非圆锥齿轮节面大端曲线的特性,分析了节面曲线产生不连续点的原因及修正方法。研究结果表明,该算法可快速辨识出非圆锥齿轮产生根切和齿顶过切等设计缺陷,且算法准确和有效。

Abstract

To solve pitch curves of N- Lobed non- circular bevel gear being discontinuous,a novel pitch curve design method for non- circular bevel gear（ NCBG） is presented to simplify design of NCBG. The intersection curve equations between pitch cone surface of non- circular gear and spherical surface are derived,and the intersection curve is taken as pitch curve of NCBGs. The bevel gear with spherical involute is considered as generating cutter of NCBGs tooth profile,and mathematical models between pitch surface of bevel gear cutter and that of NCBGs are established. Based on this model,a machining simulation algorithm is developed. In addition,according to the characteristic of big end curve function of pitch cone surface of NCBGs,the causes of discontinuity and modifying methods of pitch curve of NCBGs are analyzed. The study results show that,the design defects such as undercutting and addendum overcutting of NCBGs can be identified quickly by applying the machining simulation algorithm,and it is exactly and effectively.

关键词

锥齿轮设计缺陷节曲线根切

Keywords

Bevel gearDesign defectPitch curveUndercutting

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