Research of the Fast Modeling for Spiral Bevel Gear with Spherical Involute based on the SWEEP

Li Tongzhong; Fan Jun; Adayi·Xieeryazidan

doi:10.16578/j.issn.1004.2539.2015.03.017

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Research of the Fast Modeling for Spiral Bevel Gear with Spherical Involute based on the SWEEP

更新时间：2022-10-20

- Research of the Fast Modeling for Spiral Bevel Gear with Spherical Involute based on the SWEEP
- Vol. 39, Issue 3, Pages: 62-66(2015)
- 作者机构：
  
  1. 新疆大学机械工程学院
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2015.03.017
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[1]李统中,樊军,阿达依·谢尔亚孜旦.基于SWEEP的球面渐开线弧齿锥齿轮快速建模研究[J].机械传动,2015,39(03):62-66.

Li Tongzhong, Fan Jun, Adayi·Xieeryazidan. Research of the Fast Modeling for Spiral Bevel Gear with Spherical Involute based on the SWEEP. [J]. 39(3):62-66(2015)
[1]李统中,樊军,阿达依·谢尔亚孜旦.基于SWEEP的球面渐开线弧齿锥齿轮快速建模研究[J].机械传动,2015,39(03):62-66. DOI： 10.16578/j.issn.1004.2539.2015.03.017.

Li Tongzhong, Fan Jun, Adayi·Xieeryazidan. Research of the Fast Modeling for Spiral Bevel Gear with Spherical Involute based on the SWEEP. [J]. 39(3):62-66(2015) DOI： 10.16578/j.issn.1004.2539.2015.03.017.

摘要

弧齿锥齿轮的参数化建模对其数字化设计中后续的齿面接触分析（TCA）研究具有重要意义。从精确的球面渐开线弧齿锥齿轮齿形出发,利用球面渐开线原理求解了组成齿廓的各个部分曲线的参数化方程。结合Frenet标架在SWEEP曲面中的独特优势,提出了基于SWEEP的弧齿锥齿轮球面渐开线齿面建模方法。最后创建了由端面齿廓曲线通过SWEEP法形成的模型。通过算例验证:此方法能快速、精确完成弧齿锥齿轮的参数化建模过程,为弧齿锥齿轮的设计提供了新途径。

Abstract

The parametric modeling of spiral bevel gear is of great significance to its further research on tooth contact analysis in its digitized design.From the precision of spiral bevel gear tooth with spherical involute tooth profile,the principle of forming the spherical involute is used to solve the parametric equations of all parts of tooth profile curve.Combining the unique advantages of Frenet frame in the SWEEP surface modeling,a modeling method of tooth surface of spiral bevel gear with the spherical involute is presented based on the SWEEP.Finally,the model is created by using the transverse tooth profiles through the SWEEP method.The numerical example verified that this method can finish fast and accurate parametric modeling process of the spiral bevel gear tooth surface,a new access to design of the spiral bevel gear is provided.

关键词

球面渐开线FrenetSWEEP弧齿锥齿轮建模

Keywords

Spherical involuteFrenetSWEEPSpiral bevel gearModeling

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