基于通用三坐标测量机的面齿轮齿形误差测量

曾彪; 周元生; 王圣晖; 何玉辉; 唐进元

doi:10.13224/j.cnki.jasp.20210238

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基于通用三坐标测量机的面齿轮齿形误差测量

动力传输 | 更新时间：2025-04-07

- 基于通用三坐标测量机的面齿轮齿形误差测量
- Tooth profile error measurement of face gear based on general coordinate measuring machine
- 航空动力学报 2022年37卷第4期页码：856-868
- 作者机构：
  
  1.中南大学机电工程学院，长沙 410083
  2.中南大学高性能复杂制造国家重点实验室，长沙 410083
- 作者简介：
  
  曾彪（1996-），男，硕士生，研究方向为齿轮设计制造。
  周元生（1986-），男，副教授、博士生导师，博士，主要研究方向为齿轮设计制造、数控加工。E⁃mail：zyszby@csu.edu.cn
- 基金信息：
  
  国家重点研发计划项目(2018YFB2001700);国防基础科研计划(JCKY202013B006);国家科技重大专项（2019⁃Ⅶ⁃0017⁃0158）
- DOI：10.13224/j.cnki.jasp.20210238
  中图分类号：
- 稿件说明：
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曾彪, 周元生, 王圣晖, 等. 基于通用三坐标测量机的面齿轮齿形误差测量[J]. 航空动力学报, 2022,37(4):856-868.

Biao ZENG, Yuansheng ZHOU, Shenghui WANG, et al. Tooth profile error measurement of face gear based on general coordinate measuring machine[J]. Journal of Aerospace Power, 2022, 37(4): 856-868.
曾彪, 周元生, 王圣晖, 等. 基于通用三坐标测量机的面齿轮齿形误差测量[J]. 航空动力学报, 2022,37(4):856-868. DOI： 10.13224/j.cnki.jasp.20210238.

Biao ZENG, Yuansheng ZHOU, Shenghui WANG, et al. Tooth profile error measurement of face gear based on general coordinate measuring machine[J]. Journal of Aerospace Power, 2022, 37(4): 856-868. DOI： 10.13224/j.cnki.jasp.20210238.

摘要

考虑面齿轮实际齿面的加工误差客观存在的基础上，采用一种迭代方法建立测量坐标系，使得测量坐标系尽量接近设计坐标系，并根据加工误差对测量坐标系与设计坐标系之间关系的数学模型进行约束，从而实现精确求解。在此基础上，建立了实测点与理论测量点之间的数学模型，并由此补偿加工误差引起的相关测量误差。最后进行实际测量实验，结果显示本方法的测量坐标系与设计坐标系之间的误差相比于传统方法降低了89%以上，最大测量偏差降低了54%以上，测量结果更加真实可靠。

Abstract

By considering the truth of the existence of machining errors of face gear，an iterative method was applied to make measurement coordinate system as close as possible to design coordinate system.The optimization model of the relationship between measurement coordinate system and design coordinat system was constrained according to the machining errors.This optimization model was accurately solved based on the above two steps.Furthermore，a mathematical model between the theoretical measurement point and the practical measurement point was established to compensate the related measurement errors caused by machining errors.Finally，the actual measurement experiment was carried out.The results showed that the error between the measurement coordinate system and the design coordinate system of this method was reduced by more than 89% compared with the traditional method，the maximum measurement deviation was reduced by more than 54%，presenting more real and reliable measurement results.

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references

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