基于网格约束优化法的非圆齿轮齿面误差分析

兰州理工大学学报 ›› 2026, Vol. 52 ›› Issue (3): 30-38.

基于网格约束优化法的非圆齿轮齿面误差分析

刘永平^*, 邢梦怡, 董长斌, 李大伟, 黄传鸿

兰州理工大学机电工程学院, 甘肃兰州 730050

收稿日期:2023-10-15 出版日期:2026-06-28 发布日期:2026-06-30
通讯作者: 刘永平(1973-),男,甘肃靖远人,博士,教授,博导.Email:cameliu@163.com
基金资助:
国家自然科学基金(52265008),温州市科技局基础产业科技项目(G20220011)

Analysis of tooth surface error of non-circular gear based on mesh constraint optimization method

LIU Yong-ping, XING Meng-yi, DONG Chang-bin, LI Da-wei, HUANG Chuan-hong

School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou 730050, China

Received:2023-10-15 Online:2026-06-28 Published:2026-06-30

摘要/Abstract

摘要： 测量非圆齿轮时存在坐标系误差与加工误差相互耦合、噪声点多和测量效率低等问题.为了检测齿面真实情况,需对理论齿面进行测量规划并建立测量坐标系.基于此,根据测量坐标系与设计坐标系之间的关系建立数学模型,并对其进行优化和求解.同时,针对测量点与理论点之间的关系建立数学模型,分析测量误差对检测结果的影响并进行补偿.进而,通过三坐标测量机误差检测实验验证该方法的正确性.结果表明,该方法的网格畸变程度比常规方法和无约束方法分别降低了15.6%和6.6%.由此说明该方法是正确有效的.

关键词: 非圆齿轮, 三坐标测量机, 齿面误差, 测量坐标系, 误差补偿

Abstract: When measuring non-circular gears, it will encounter problems such as mutual coupling of coordinate system error and processing error, many noise points, low measurement efficiency, etc. In order to detect the true condition of the tooth surface, it is necessary to plan measurements of the theoretical tooth surface and to establish a measuring coordinate system. Accordingly, a mathematical model is established based on the relationship between the measurement coordinate system and design coordinate system, which is optimized and solved. At the same time, a mathematical model is established for the relationship between the measurement point and the theoretical point. It also analyses the effect of measurement error on the detection results and compensates the measurement error. Further, the accuracy of this error detection method is verified by coordinate measuring machine error detection experiments. The results show that the degree of mesh distortion of this method is reduced by 15.6% and 6.6% compared to the conventional and unconstrained methods, respectively, thus indicating its correctness and effectiveness.

Key words: non-circular gear, coordinate measuring machine, tooth surface error, measuring coordinate system, error compensation

中图分类号:

刘永平, 邢梦怡, 董长斌, 李大伟, 黄传鸿. 基于网格约束优化法的非圆齿轮齿面误差分析[J]. 兰州理工大学学报, 2026, 52(3): 30-38.

LIU Yong-ping, XING Meng-yi, DONG Chang-bin, LI Da-wei, HUANG Chuan-hong. Analysis of tooth surface error of non-circular gear based on mesh constraint optimization method[J]. Journal of Lanzhou University of Technology, 2026, 52(3): 30-38.

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链接本文: https://journal.lut.edu.cn/CN/

https://journal.lut.edu.cn/CN/Y2026/V52/I3/30

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