Optimal Design of Single-stage Double-arc Spiral Bevel Gear Nutation Reducer

Zheng Lin; Ligang Yao; Tongke Su; Zheng Sun

doi:10.16578/j.issn.1004.2539.2020.10.008

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Optimal Design of Single-stage Double-arc Spiral Bevel Gear Nutation Reducer

Design· Calculation | 更新时间：2022-11-10

- Optimal Design of Single-stage Double-arc Spiral Bevel Gear Nutation Reducer
- Journal of Mechanical Transmission Vol. 44, Issue 10, Pages: 55-59(2020)
- 作者机构：
  
  1.武夷学院机电工程学院，福建武夷山 354300
  2.福州大学机械工程及自动化学院，福建福州 350108
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2020.10.008
  CLC：
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林铮,姚立纲,苏同克等.单级双圆弧弧齿锥齿轮章动减速器优化设计[J].机械传动,2020,44(10):55-59.

Lin Zheng,Yao Ligang,Su Tongke,et al.Optimal Design of Single-stage Double-arc Spiral Bevel Gear Nutation Reducer[J].Journal of Mechanical Transmission,2020,44(10):55-59.
林铮,姚立纲,苏同克等.单级双圆弧弧齿锥齿轮章动减速器优化设计[J].机械传动,2020,44(10):55-59. DOI： 10.16578/j.issn.1004.2539.2020.10.008.

Lin Zheng,Yao Ligang,Su Tongke,et al.Optimal Design of Single-stage Double-arc Spiral Bevel Gear Nutation Reducer[J].Journal of Mechanical Transmission,2020,44(10):55-59. DOI： 10.16578/j.issn.1004.2539.2020.10.008.

摘要

根据章动运动原理，设计了一种结构简单、传动比较大的新型单级双圆弧弧齿锥齿轮章动减速器，并得到其传动比计算公式。以章动减速器体积最小为目标函数，建立了包含4个设计变量和12个优化约束的优化数学模型，求解得到单级章动锥齿轮的相关参数。根据优化得到的齿轮参数，建立了章动锥齿轮三维模型，对其进行了有限元加载强度分析。结果表明，单级章动锥齿轮啮合时因有多个轮齿、凹凸齿面同时发生接触，齿面接触面积较大；内、外锥齿轮上的Mises应力总体分布都较均匀，但外锥齿轮小端齿顶处的应力值较大。研究结果对单级双圆弧弧齿锥齿轮章动减速器的进一步改进具有重要的实际意义。

Abstract

According to the nutation motion principle，a new single-stage double circular-arc spiral bevel gear nutation reducer with simple structure and large transmission ratio is designed， and its transmission ratio calculation formula is obtained. With the minimum volume of the nutation reducer as the objective function，an optimization mathematical model is established with 4 design variables and 12 optimization constraints，and the relevant parameters of the single-stage nutation bevel gear are obtained. According to the optimized parameters of gear， the three-dimensional model of the nutation bevel gear is established，and its finite element loading strength is analyzed. The results show that the contact area of single-stage nutation bevel gear is large because there are many teeth and concave-convex tooth surfaces in contact at the same time，the Mises stress distribution on the internal and external bevel gears is uniform，but the stress value at the top of the small end of the external bevel gear is larger. The research results are of great significance to the further improvement of single-stage double circular-arc spiral bevel gear nutation reducer.

关键词

单级章动减速器优化设计弧齿锥齿轮

Keywords

Single-stage nutation reducerOptimal designSpiral bevel gear

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