基于多项式混沌展开的多轴数控机床加工精度可靠性分析

兰州理工大学学报 ›› 2024, Vol. 50 ›› Issue (6): 42-50.

基于多项式混沌展开的多轴数控机床加工精度可靠性分析

王智明^*, 周健, 许腾

兰州理工大学机电工程学院, 甘肃兰州 730050

收稿日期:2022-10-17 出版日期:2024-12-28 发布日期:2025-01-13
通讯作者: 王智明(1969-),男,甘肃天水人,博士,副教授.Email:wangzhiming301@sohu.com
基金资助:
国家自然科学基金(51565032)

Machining accuracy reliability analysis of multi-axis CNC machine tools based on polynomial chaos expansions

WANG Zhi-ming, ZHOU Jian, XU Teng

School of Mechanical and Electrical Engineering, Lanzhou Univ. of Tech., Lanzhou 730050, China

Received:2022-10-17 Online:2024-12-28 Published:2025-01-13

摘要/Abstract

摘要： 为提高多轴数控机床加工精度可靠性,提出了基于多项式混沌展开理论的精度设计方法.利用坐标系微分运动矩阵法,建立了数控机床的综合几何误差模型和加工精度可靠性模型.通过分析加工精度的可靠性灵敏度,识别出对精度可靠性影响较大的关键几何误差项.基于此,结合灵敏度分析结果与精度可靠性设计要求,通过调整灵敏度较高的几何误差项参数,优化数控机床精度,从而满足可靠性要求.以大型数控龙门导轨磨床为例,验证所提方法的有效性.结果表明,该方法可以提高数控机床加工精度的可靠性.

关键词: 多项式混沌展开, 微分运动矩阵, 综合几何误差模型, 精度设计, 加工精度可靠性

Abstract: To improve the machining accuracy reliability of multi-axis CNC machine tools, an accuracy design method is proposed based on polynomial chaos expansion theory. The comprehensive geometric error model and machining accuracy reliability model of machine tools are built through the use of the coordinate system differential motion matrix method. Through analyzing the reliability sensitivity of machining accuracy, critical geometric error terms which have a large impact on accuracy reliability can be identified. On this basis, combining sensitivity analysis results and accuracy reliability design requirements, the accuracy of machine tools can be optimized to meet the requirement of reliability by adjusting the parameters of geometric error terms with higher sensitivity. Taking a large-scale CNC gantry guideway grinder as an example, the effectiveness of the proposed method is verified. The results show that the proposed method can improve the machining accuracy reliability of machine tools.

Key words: polynomial chaos expansions, differential motion matrix, comprehensive geometric error model, accuracy design, machining accuracy reliability

中图分类号:

TG659
TB114

王智明, 周健, 许腾. 基于多项式混沌展开的多轴数控机床加工精度可靠性分析[J]. 兰州理工大学学报, 2024, 50(6): 42-50.

WANG Zhi-ming, ZHOU Jian, XU Teng. Machining accuracy reliability analysis of multi-axis CNC machine tools based on polynomial chaos expansions[J]. Journal of Lanzhou University of Technology, 2024, 50(6): 42-50.

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