A geometric errors analysis method integrated clamping error and wear out error over working space

Xiaojian Liu, Chenrui Wu, Le-miao Qiu, Yang Wang, Shuyou Zhang
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Abstract

Machining accuracy is one of the major parameters of machine tools which is determined by geometric accuracy design to a large extent. In order to improve the comprehensiveness and veracity in geometric accuracy design, this paper proposed a geometric errors analysis method integrated clamping error and wear out error over working space. A multi-rigid-body model which included the cutting tool's wear out error and work-piece's clamping error is established to represent the position relationships of machine tools' working components. The expression of geometric error was converted from matrix form to screw form through a screw mapping method so that geometric error of all the six degree of freedom in global coordinate frame can be straightly expressed. Based on this, the key geometric errors that affecting the machining accuracy were identified through the improved sensitivity analysis in which motion rules through working space were considered. Finally, a case study on geometric accuracy design stage of a horizontal boring machine was carried out which highlights the advantages of the proposed methodology.
一种综合夹持误差和工作空间磨损误差的几何误差分析方法
加工精度是机床的主要参数之一,在很大程度上是由几何精度设计决定的。为了提高几何精度设计的全面性和准确性,提出了一种综合夹持误差和工作空间磨损误差的几何误差分析方法。建立了包含刀具磨损误差和工件夹紧误差的多刚体模型来表示机床各工作部件的位置关系。通过螺旋映射法将几何误差的表达式由矩阵形式转换为螺旋形式,从而可以直观地表示出全局坐标系中所有6个自由度的几何误差。在此基础上,通过考虑工作空间运动规律的改进灵敏度分析,识别出影响加工精度的关键几何误差。最后,以卧式镗床的几何精度设计阶段为例,说明了该方法的优越性。
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