数控机床几何误差的雅克比旋量建模  

Jacobian-torsor Modeling of Geometric Errors of NC Machine Tools

作　　者：陈坤[1] 刘顺[1] 金隼[1] CHEN Kun;LIU Shun;JIN Sun(Shanghai Key Laboratory of Digital Manufacture for Thin-walled Structures,School of Mechanical Engineering,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]上海交通大学上海市复杂薄板结构数字化制造重点实验室,上海200240

出　　处：《机械设计与研究》2023年第2期139-142,共4页Machine Design And Research

基　　金：国家自然科学基金面上资助项目(51975369)。

摘　　要：几何误差是影响数控机床精度的重要因素。由于几何误差是结果项,并非输入项,缺乏零部件误差与几何误差映射关系的理论指导,无法对几何误差进行源头追溯与量化处理。针对机床设计时对零部件公差赋值科学性不强,缺乏几何误差参数化建模与来源分析的难题,基于雅可比旋量模型建立了机床几何误差描述方程,构造几何误差的参数化表达。最后,通过实验验证,证明了基于雅克比旋量模型的几何误差参数化建模的有效性,为机床几何误差设计与调整提供了理论指导。The geometric error is an important factor affecting the accuracy of CNC machine tools.Due to the lack of theoretical guidance on the mapping relation between component errors and geometric errors,it is impossible to trace and quantify the source of geometric errors because geometric errors are result items,not input items.In this paper,aiming at the problems that the assignment of tolerance of parts lacks scientific guidance in machine tool design,and that the parametric expression and source analysis of geometric errors are lacking,the description equation of geometric errors of a machine tool is established based on the Jacobian-torsor model,and the parametric expression of geometric errors is constructed.Finally,through experimental verification,the effectiveness of geometric error parameterization expression based on the Jacobian-torsor model is verified,which provides theoretical guidance for geometric error design and adjustment of machine tools.

关 键 词：数控机床 几何误差 雅克比旋量模型 参数化表达 

分 类 号：TH12[机械工程—机械设计及理论]