• CN：11-2187/TH
• ISSN：0577-6686

• 数字化设计与制造 •

### 基于区间理论的数控内圆复合磨床几何误差灵敏度分析方法研究

1. 北京工业大学材料与制造学部 北京 100124
• 收稿日期:2021-07-11 修回日期:2022-02-24 出版日期:2022-06-20 发布日期:2022-08-08
• 通讯作者: 谢本田(通信作者),1997年出生,男,硕士研究生。主要研究方向为数控精密加工。E-mail:1540397074@qq.com
• 作者简介:范晋伟,1965年出生,男,博士,教授。主要研究方向为数控精密加工、伺服控制。E-mail:jwfan@bjut.edu.cn
• 基金资助:
工业和信息化部产业技术基础公共服务平台资助项目（2021-0171-1-1）

### Study on Geometric Error Sensitivity Method of NC Internal Compound Grinder Based on Interval Theory

FAN Jinwei, XIE Bentian, YE Qian, TAO Haohao

1. Department of Materials and Manufacturing, Beijing University of Technology, Beijing 100124
• Received:2021-07-11 Revised:2022-02-24 Online:2022-06-20 Published:2022-08-08

Abstract: In order to solve the problem of precision optimization design of CNC machine tools, the spatial motion error model of CNC internal cylindrical compound grinder is established based on the theory of multi-body system based on the analysis of the structural parameters and motion form of the grinder. Based on the space motion error model is established, using the theory of interval mathematics, defines the interval expansion factor, study the grinder involved 36 geometric error of space motion error sensitivity of the interval, the interval sensitivity analysis results are represented as vectors form, get along with the change of the grinder movement axis, the effect of various geometric error on space motion error. The maximum values of each error sensitivity index in the whole region are defined, and the normalized results of the sensitivity analysis of the maximum interval in the whole region are obtained. Finally, the three coordinate measuring machine is used to carry out two different compensation strategies on the grinding machine, and the roundness errors of the three heights of the two shaft parts are measured respectively, which verified the correctness of the sensitivity analysis method proposed, and laid a foundation for the subsequent precision optimization design.