北京航空航天大学学报 ›› 2019, Vol. 45 ›› Issue (6): 1096-1105.doi: 10.13700/j.bh.1001-5965.2018.0607

• 论文 • 上一篇    下一篇

环面蜗轮滚刀刃带宽受周向定位误差影响分析

芮成杰1, 李海涛1,2, 杨杰1, 龙新佳妮1, 太健健1, 丁宁1   

  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

摘要: 环面蜗轮滚刀刃带面的刃带宽需控制在一定的范围内以保持刃口的强度和锋利性,圆周定位误差的存在使刃带宽发生变化。为了磨削出满足需要的刃带面,研究了周向定位误差对刃带宽的影响规律。根据微分几何和齿轮啮合原理,建立了求解含有周向定位误差的刃带宽的数学模型。研究了存在周向定位误差时,刃带宽沿环面蜗轮滚刀的轴向和齿高方向的变化规律。同时,在VERICUT中建立虚拟的四轴联动环面蜗杆磨床,对周向定位误差的影响进行仿真验证。研究结果表明:周向定位误差对环面蜗轮滚刀边齿齿顶处刃带宽的影响最大;刃带宽与周向定位误差具有很强的相关性,呈线性变化关系;对于特定的算例,当给定的刃带宽e=1.0 mm在±10%范围内变化时,周向定位误差允许的调整范围为-0.122°~0.054°。

关键词: 环面蜗轮滚刀, 磨削, 刃带宽, 周向定位误差, 误差限

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%.

Key words: hourglass worm wheel hob, grinding, land width, circumferential positioning error, error limitation

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