DOI:10.3969/j.issn.1003-5060.2023.02.003
基于电子齿轮箱非圆齿轮齿距误差补偿研究
郭振 $ ^{1,2} $,夏链 $ ^{1,2} $,韩江 $ ^{1,2} $
(1. 合肥工业大学机械工程学院,安徽合肥 230009;2. 安徽省智能数控技术及装备工程实验室,安徽合肥 230009)
摘要
文章针对非圆齿轮滚齿加工难以获得较高精度的问题, 对非圆齿轮滚齿加工误差及其补偿方法进行研究。推导非圆齿轮滚齿加工数学模型, 构建非圆齿轮滚齿加工电子齿轮箱运动控制模型, 并从几何角度分析推导电子齿轮箱展成控制误差所引起的非圆齿轮齿距误差; 根据构建的非圆齿轮齿距误差关系式, 建立电子齿轮箱非圆齿轮齿距误差补偿控制器, 添加到电子齿轮箱运动控制模型中, 并通过仿真实验分析对比补偿前、后的控制效果。研究结果表明, 该文方法能够有效地降低非圆齿轮齿距误差。
中图分类号:TH161.5
文献标志码:A
文章编号:1003-5060(2023)02-0157-06
Research on pitch error compensation of non-circular gear in electronic gearbox
GUO Zhen $ ^{1,2} $, XIA Lian $ ^{1,2} $, HAN Jiang $ ^{1,2} $
(1. School of Mechanical Engineering, Hefei University of Technology, Hefei 230009, China; 2. Anhui Intelligent Numerical Control Technology and Equipment Engineering Laboratory, Hefei 230009, China)
Abstract
Aiming at the problem that it is difficult to obtain high precision in the non-circular gear hobbing, this paper studied the error of the non-circular gear hobbing and its compensation method. Firstly, the mathematical model of the non-circular gear hobbing was derived. Then, the motion control model of electronic gearbox in the non-circular gear hobbing was constructed, and the pitch error of non-circular gear caused by the generating control error of electronic gearbox was analyzed and derived from the perspective of geometry. Finally, according to the established non-circular gear pitch error relation, the non-circular gear pitch error compensation controller of electronic gearbox was established, which was added to the motion control model of electronic gearbox. The control effects before and after the compensation were analyzed and compared through simulation experiments. The research results show that this method can effectively reduce the pitch error of non-circular gear.
Keywords
non-circular gear; electronic gearbox; pitch error; error compensation
收稿日期:2021-04-20
修回日期:
基金项目:国家重点研发计划资助项目(2020YFE0201000);国家自然科学基金资助项目(52075142)