• 论文 •

### 环面蜗轮滚刀刃带宽受周向定位误差影响分析

1. 1. 中国农业大学 工学院, 北京 100083;
2. 现代农业装备优化设计北京市重点实验室, 北京 100083
• 收稿日期:2018-10-22 出版日期:2019-06-20 发布日期:2019-06-18
• 通讯作者: 李海涛 E-mail:h89533@cau.edu.cn
• 作者简介:芮成杰 男,博士研究生。主要研究方向:环面蜗杆传动和环面蜗轮滚刀的设计与制造;李海涛 男,博士,副教授,博士生导师。主要研究方向:齿轮传动、环面蜗杆传动和环面蜗轮滚刀的设计与制造。
• 基金资助:
国家自然科学基金（51475460）

### Influence of circumferential positioning error of an hourglass worm wheel hob on land width

RUI Chengjie1, LI Haitao1,2, YANG Jie1, LONG Xinjiani1, TAI Jianjian1, DING Ning1

1. 1. College of Engineering, China Agricultural University, Beijing 100083, China;
2. Key Laboratory of Optimal Design of Modern Agricultural Equipment in Beijing, Beijing 100083, China
• Received:2018-10-22 Online:2019-06-20 Published:2019-06-18

Abstract: Land surfaces of an hourglass worm wheel hob needs to be controlled within a range to ensure the strength and sharpness of cutting edges. Circumference positioning errors lead to the changes of the land width. In order to grind out the required land surfaces, this paper studies the influence of the circumferential positioning errors on the land width. A mathematical model for solving the land width with the circumferential positioning error is established. The variation of the land width along the axial direction and the tooth height direction of the hob is studied. Effects of the circumferential positioning errors on the land width are simulated based on a four-axis linkage virtual hourglass worm grinding machine in VERICUT. The results show that the circumferential positioning errors have the greatest influence on the land width of the side teeth of the hob. There is a strong correlation between the land width and the errors, showing a linear relationship. In an example, the allowable range of the circumferential positioning error is between -0.122° and 0.054° when the land width e=1.0 mm varies in the range of ±10%.