新型复合摆线外啮合圆柱齿轮副的传动特性分析

韩振华; 石万凯; 肖洋轶; 徐浪

doi:10.7652/xjtuxb201609002

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新型复合摆线外啮合圆柱齿轮副的传动特性分析

更新时间：2025-07-09

- 新型复合摆线外啮合圆柱齿轮副的传动特性分析
- Analysis on Transmission Characteristics of Novel Composite Cycloid Cylindrical Gears for External Driving
- 西安交通大学学报 2016年50卷第9期页码：10-19+131
- 作者机构：
  
  重庆大学机械传动国家重点实验室,重庆,400030
- 作者简介：
- 基金信息：
  
  : 2016-03-25。作者简介: 韩振华(1986—),男,博士生;石万凯(通信作者),男,教授,博士生导师。基金项目: 国家重点基础研究发展计划资助项目(2014CB046304);国家自然科学基金资助项目(51675061)
- DOI：10.7652/xjtuxb201609002
  中图分类号： TH132
- 网络首发：2016-09-10，
  
  纸质出版：2016
- 稿件说明：
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韩振华, 石万凯, 肖洋轶, 等. 新型复合摆线外啮合圆柱齿轮副的传动特性分析[J]. 西安交通大学学报, 2016,50(9):10-19+131.

Analysis on Transmission Characteristics of Novel Composite Cycloid Cylindrical Gears for External Driving[J]. 2016, 50(9): 10-19+131.
韩振华, 石万凯, 肖洋轶, 等. 新型复合摆线外啮合圆柱齿轮副的传动特性分析[J]. 西安交通大学学报, 2016,50(9):10-19+131. DOI： 10.7652/xjtuxb201609002.

Analysis on Transmission Characteristics of Novel Composite Cycloid Cylindrical Gears for External Driving[J]. 2016, 50(9): 10-19+131. DOI： 10.7652/xjtuxb201609002.

摘要

基于传统摆线成形原理

提出了摆线成形的二连杆等效机构转化方法

得到了n+1连杆机构生成广义n阶摆线轨迹的运动规律

推导并建立了可用于齿轮传动的新型四阶复合摆线齿廓方程; 基于微分几何及共轭啮合理论

推导了复合摆线齿廓的共轭齿廓方程

分析了该新型齿轮副的压力角、曲率、重合度、滑动率等啮合特性; 进行了齿轮副三维实体模型的精确构建

并利用有限元法分析了该齿轮副的强度特性。研究表明:当齿高确定时

分度圆压力角由齿形调控系数f

控制; 齿廓曲线是由凹凸弧组成的光滑曲线

且传动过程始终为凹凸齿面线接触啮合传动

理论上具有较高的接触疲劳强度; 相对于渐开线齿轮

复合摆线齿轮副具有较高的重合度、极小的滑动率以及较高的弯曲强度和接触强度。最后

加工了齿轮副试验样件

并在FZG齿轮试验机上测试了不同工况下的传动效率

结果表明:复合摆线齿轮副的传动效率随加载扭矩在97.30%～99.00%范围内呈正相关变化

且高于同工况下的渐开线齿轮副

具有工程应用价值。

Abstract

Based on the generation principle of traditional cycloid curves

a transforming method from cycloid curve generation to two-link equivalent mechanism is proposed

and nth-order cycloid motion is generalized using n+1 link mechanism. Then the novel fourth-order composite cycloid equation for gear driving is derived. Based on differential geometry and conjugate engagement theory

conjugate profile equation of composite cycloid tooth profile curve is deduced. The pressure angle

curvature

contact ratio and sliding ratio of the composite cycloid gear driving are discussed. The composite cycloid gears are modeled accurately

and the strength characteristic of this drive is evaluated by FEM method simultaneously. The pressure angle of reference circle is controlled by the regulation coefficient of tooth profile when the tooth height is determined. The profile curve is formed smoothly by concave and convex arcs

and the concave-convex tooth surface is engaged by line contact in driving process

resulting in high contact fatigue strength. Compared with involute gear

a superior contact ratio and an incredibly small sliding ratio are demonstrated in composite cycloid tooth profile

and greater tooth root bending strength and surface contact strength are present in finite element method. In addition

experimental gear samples are machined

and its transmission efficiencies under different operating conditions are measured with FZG gear testing machine. The testing results show that the transmission efficiencies of the composite cycloid gears in the range of 97.30% to 99.00% are positively correlated with the loading torque. Importantly

they are higher compared with the involute gears under the same operating conditions. It is concluded that the composite cycloid gears show a remarkable engineering application value.

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references

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