精密机床加工误差灵敏度分析与公差设计

doi:10.3901/JME.2019.17.145

机械工程学报 ›› 2019, Vol. 55 ›› Issue (17): 145-152.doi: 10.3901/JME.2019.17.145

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精密机床加工误差灵敏度分析与公差设计

刘奕颖, 郭俊康, 李宝童, 洪军, 刘志刚

西安交通大学现代设计及转子轴承系统教育部重点实验室西安 710049

收稿日期:2018-12-05 修回日期:2019-05-05 出版日期:2019-09-05 发布日期:2020-01-07
通讯作者: 郭俊康(通信作者),男,1984年出生,助理研究员。主要研究方向精密机械装配与数字化装配。E-mail:me_gjk@mail.xjtu.edu.cn
作者简介:刘奕颖,女,1994年出生。主要研究方向为机床装配精度分析及软件开发。E-mail:aquamarine@stu.xjtu.edu.cn
基金资助:
国家科技重大专项资助项目（2017ZX04012001）。

Sensitivity Analysis and Tolerance Design for Precision Machine Tool

LIU Yiying, GUO Junkang, LI Baotong, HONG Jun, LIU Zhigang

Key Laboratory of Education Ministry for Modern Design & Rotor-Bearing System, Xi'an Jiaotong University, Xi'an 710049

Received:2018-12-05 Revised:2019-05-05 Online:2019-09-05 Published:2020-01-07

摘要/Abstract

摘要： 加工精度是衡量精密机床加工性能的重要指标，当前针对提高加工精度的研究主要围绕误差补偿展开，缺少根据加工件的精度要求而进行机床运动轴公差设计的研究。从公差设计的角度出发，通过机床空间运动误差建模、蒙特卡洛法模拟，实现最小二乘法评价零件加工精度；利用正交试验方法，得到某项精度要求与机床运动轴误差的公差带的多组对应数据，通过多元线性回归，进行灵敏度分析；同时基于自适应遗传算法，给出了运动轴误差的公差设计方法，保证所设计的公差带在装配工艺上的可行性。通过对某精密卧式坐标镗床29项误差公差带设计，验证了该方法的可行性。

关键词: 机床, 运动轴误差, 灵敏度分析, 公差设计

Abstract: The least squares method is used to evaluate the part machining precision from the perspective of tolerance design, by using the machine tool space motion error modeling, the Monte Carlo method and the Matlab software, and the precision requirements and the machine movement axis are obtained by the orthogonal test method. Multiple sets of corresponding data of the error tolerance band, through multiple linear regression, sensitivity analysis. At the same time based on adaptive genetic algorithm, a tolerance design method for motion axis error is given to ensure the feasibility of the designed tolerance zone in the assembly process. The feasibility of the method is verified through the design of 29 error tolerance bands for a precision horizontal coordinate boring machine.

Key words: machine tools, motion axis error, sensitivity analysis, tolerance design

中图分类号:

TG156

刘奕颖, 郭俊康, 李宝童, 洪军, 刘志刚. 精密机床加工误差灵敏度分析与公差设计[J]. 机械工程学报, 2019, 55(17): 145-152.

LIU Yiying, GUO Junkang, LI Baotong, HONG Jun, LIU Zhigang. Sensitivity Analysis and Tolerance Design for Precision Machine Tool[J]. Journal of Mechanical Engineering, 2019, 55(17): 145-152.

参考文献

[1] GUO J,LI B,LIU Z,et al. Integration of geometric variation and part deformation into variation propagation of 3-D assemblies[J]. International Journal of Production Research,2016,54(19):1-14.
[2] 赵强强,洪军,刘志刚,等. 任意拓扑结构机床运动轴误差传递链建模方法[J]. 机械工程学报,2016,52(21):130-137. ZHAO Qiangqiang,HONG Jun,LIU Zhigang,et al. Modeling method on motive axes error transfer chain for machine tool of arbitrary topological structure[J]. Journal of Mechanical Engineering,2016,52(21):130-137.
[3] ZHU S,DING Guofu,LEI J,et al. Integrated geometric error modeling,identification and compensation of CNC machine tools[J]. International Journal of Machine Tools & Manufacture,2012,52(1):24-29.
[4] 黄克,关立文,杨亮亮,等. 基于"S"形试件的五轴机床几何误差建模研究[J]. 机械设计与制造,2015(2):189-193. HUANG Ke,GUAN Liwen,YANG Liangliang,et al. Geometric error modeling of five-axis CNC machine tools based on "S" shaped test piece[J]. Machinery Design & Manufacture,2015(2):189-193.
[5] 高羡明,洪军,甄宜超. 机床多体系统空间刚度场约束下的加工误差预测[J]. 西安交通大学学报,2016,50(6):90-96. GAO Xianming,HONG Jun,ZHEN Yichao. Prediction of machining error for machine tool multi-body system restrained by stiffness field[J]. Journal of Xi'an Jiaotong University,2016,50(6):90-96.
[6] BURAK S,YUSUF A. Modeling and control of contouring errors for five-axis machine tools-part II:Precision contour controller design[J]. Journal of Manufacturing Science & Engineering,2009,131(3):337-346.
[7] XIANG S,ALTINTAS Y. Modeling and compensation of volumetric errors for five-axis machine tools[J]. International Journal of Machine Tools & Manufacture,2016,101:65-78.
[8] ZHOU X,JIANG Z,SONG B,et al. A compensation method for the geometric errors of five-axis machine tools based on the topology relation between axes[J]. International Journal of Advanced Manufacturing Technology,2017,88(5-8):1993-2007.
[9] 杨建国,姚晓栋. 数控机床误差补偿技术现状与展望[J]. 世界制造技术与装备市场,2012,401(3):64-71. YANG Jianguo,YAO Xiaodong. Present situation and prospect of error compensation technology for NC machine tool[J]. Aeronautical Manufacturing Technology,2012,401(3):64-71.
[10] TSUTSUMI M,SAITO A. Identification and compensation of systematic deviations particular to 5-axis machining centers[J]. International Journal of Machine Tools & Manufacture,2003,43(8):771-780.
[11] 沈金华. 数控机床误差补偿关键技术及其应用[D]. 上海:上海交通大学,2008. SHEN Jinhua. Key technique and application in error compensation for CNC machine tools[D]. Shanghai:Shanghai Jiao Tong University,2008.
[12] 蔡尚文,汪惠芬,刘庭煜. 基于误差传递模型的机床进给系统装配精度预测与调整方法[J]. 机械制造与自动化,2016(6):6-10. CAI Shangwen,WANG Huifen,LIU Tingyu. Assembly precision prediction and adjustment method based on error propagation model[J]. Machine Building & Automation,2016(6):6-10.
[13] CHEN G,SUN Y,LU L,et al. A new static accuracy design method for ultra-precision machine tool based on global optimisation and error sensitivity analysis[J]. International Journal of Nanomanufacturing,2016,12(2):167-180.
[14] WEILL R,CLÉMENT A,HOCKEN R,et al. Tolerancing for function[J]. CIRP Annals-Manufacturing Technology,1988,37(2):603-610.
[15] 黄美发,高咏生. 基于工序加工能力的并行公差优化设计[J]. 中国机械工程,2003,14(5):385-389. HUANG Meifa,GAO Yongsheng. Optimal concurrent tolerancing based on sequential process capabilities[J]. China Mechanical Engineering,2003,14(5):385-389.
[16] 刘超,刘少岗. 基于粒子群算法的并行公差优化设计模型求解[J]. 天津科技大学学报,2013(1):67-70. LIU Chao,LIU Shaogang. Solution of concurrent tolerancing optimization design model based on particle swarm optimization algorithm[J]. Journal of Tianjin University of Science & Technology,2013(1):67-70.
[17] GUO J,LI B,LIU Z,et al. A new solution to the measurement process planning for machine tool assembly based on Kalman filter[J]. Precision Engineering,2016,43:356-369.
[18] 孙岩辉,洪军,刘志刚,等. 考虑零部件制造误差的精密主轴几何回转精度计算方法[J]. 机械工程学报,2017,53(3):173-182. SUN Yanhui,HONG Jun,LIU Zhigang,et al. A calculating method for the geometric rotation accuracy of precision spindles considering the manufacturing errors of component parts[J]. Journal of Mechanical Engineering,2017,53(3):173-182.
[19] KRA SHEN S. Principles and practice in second language acquisition[M]. Oxford:Pergamon Press,1982.
[20] 张成现,李建文.多元非线性函数极值的通用数值解法[J].西安工程科技学院学报,2005(4):507-512. ZHANG Chengxian,LI Jianwen. An universal numerical algorithm of extremum for multivariate nonlinear function[J]. Journal of Xian University Engineering Science & Technology,2005(4):507-512.
[21] 刘鹏,洪军,刘志刚,等. 采用自适应遗传算法的机床公差分配研究[J]. 西安交通大学学报,2016,50(1):115-123. LIU Peng,HONG Jun,LIU Zhigang,et al. Research on the tolerance allocation of machine tools based on adaptive genetic algorithm[J]. Journal of Xi'an Jiaotong University,2016,50(1):115-123.

精密机床加工误差灵敏度分析与公差设计

Sensitivity Analysis and Tolerance Design for Precision Machine Tool

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