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清华大学学报(自然科学版)  2019, Vol. 59 Issue (8): 670-682    DOI: 10.16511/j.cnki.qhdxxb.2019.22.015
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人字形面齿轮几何设计与基本特征分析
冯光烁, 顾永鹏, 兰旭东, 周明
清华大学 航天航空学院, 北京 100084
Geometric design and characteristic analysis of herringbone face gears
FENG Guangshuo, GU Yongpeng, LAN Xudong, ZHOU Ming
School of Aerospace Engineering, Tsinghua University, Beijing 100084, China
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摘要 该文提出了一种新型面齿轮副,即人字形面齿轮副。基于全齿面精确建模的面齿轮副设计方法,建立了人字形面齿轮副的几何设计方法。建立了虚拟产形齿轮的数学模型,推导了人字形面齿轮的数学模型,得到了人字形面齿轮副的精确三维实体模型。基于有限元加载接触分析方法,分析了人字形面齿轮副的基本特征:轮齿接触、圆柱齿轮轴向力、重合度、传动误差、内外侧轮齿齿宽的影响、内外侧轮齿相位的影响。数值研究表明人字形面齿轮副具有如下优点:圆柱齿轮无轴向力,简化了轴承支撑;可以采用大传动比、大螺旋角,承载能力强,振动噪声水平低,适用于高速重载场合;旋转方向敏感度低,适宜用于需要双向转动的场合。该文最后总结了人字形面齿轮副的设计准则。
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冯光烁
顾永鹏
兰旭东
周明
关键词 人字形面齿轮副几何设计轮齿接触圆柱齿轮轴向力重合度传动误差    
Abstract:A herringbone face-gear drive was developed in this project. The design of the herringbone face-gear geometry used the entire tooth surface precise modeling method. A geometry shaper was modeled mathematically with a precise, three-dimensional mathematical model then developed for the herringbone face-gear pairs. The loaded tooth contact analysis (LTCA) method was used to analyze the characteristics of the herringbone face-gear drives, including the tooth contact area, the axial force on the pinion gear, the contact ratio, the transmission error, the effect of the inner and outer face widths, and the effect of the inner and outer tooth phases. A numerical study shows that the advantages of herringbone face-gear drives include no axial force on the pinion, simplified bearing support, larger transmission ratios, larger helix angles, higher bearing capacities, less vibration and noise, high-speed applications, high-load applications, lower sensitivity to the sense of rotation, and being applicable to both clockwise and counterclockwise rotations. Finally, this paper summarizes the design rules for herringbone face-gear drives.
Key wordsherringbone face-gear drives    geometric design    gear tooth contact    axial force on the pinion gear    contact ratio    transmission error
收稿日期: 2019-01-11      出版日期: 2019-08-05
基金资助:中国博士后科学基金(2017M620793)
通讯作者: 周明,研究员,E-mail:zmzlh@tsinghua.edu.cn     E-mail: zmzlh@tsinghua.edu.cn
引用本文:   
冯光烁, 顾永鹏, 兰旭东, 周明. 人字形面齿轮几何设计与基本特征分析[J]. 清华大学学报(自然科学版), 2019, 59(8): 670-682.
FENG Guangshuo, GU Yongpeng, LAN Xudong, ZHOU Ming. Geometric design and characteristic analysis of herringbone face gears. Journal of Tsinghua University(Science and Technology), 2019, 59(8): 670-682.
链接本文:  
http://jst.tsinghuajournals.com/CN/10.16511/j.cnki.qhdxxb.2019.22.015  或          http://jst.tsinghuajournals.com/CN/Y2019/V59/I8/670
  图1 人字形面齿轮副设计相关坐标系定义
  图2 人字形面齿轮副位置关系及关键特征量示意图
  图3 虚拟产形齿轮单个轮齿的齿廓
  表1 人字形面齿轮副主要设计参数
  图4 人字形面齿轮副建模结果示意图
  图5 (网络版彩图)人字形面齿轮副接触分析
  图6 轴向力对比分析
  表2 轴向力均值对比分析
  图7 人字形面齿轮副第1种重合度定义的计算结果
  图8 人字形面齿轮副第2种重合度定义的计算结果
  图9 人字形面齿轮副传动误差波动幅度分析
  表3 对比研究算例(内、 外侧轮齿齿宽不同)
  图10 内外侧轮齿宽度对轴向力均值的影响
  图11 内、 外侧轮齿齿宽及相位差定义示意图
  表4 对比研究算例(内、 外侧轮齿相位不同)
  图12 内外侧轮齿相位差对人字形面齿轮副重合度的影响
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