摘要
使用齐次坐标变换的方法建立了三轴数控铣床的切削力误差综合数学模型。首先基于三轴数控铣床的结构分析对切削力误差元素进行识别,然后在机床各运动部件上建立一系列坐标系并推导出各相邻坐标系间的齐次坐标变换矩阵,最后根据切削加工中刀具切削点与工件正被切削点在基坐标系中的坐标值相同列出等式,推导出切削力误差综合模型。该模型包含30个对机床加工精度影响较大的切削力误差元素,适用于计算误差补偿时的补偿量。
The error synthesis model of the cutting force induced errors of a 3--axis CNC milling machine was obtained by use of the homogeneous coordinate transformation method. Firstly the recognition of the components of the cutting force induced errors of a three--axis CNC milling machine was finished based on the analysis of the structure. Secondly the coordinates were set up on the movement components and the homogeneous coordinate transformation matrixes were deduced between the two connective movement components. Lastly the error synthesis model of the cutting force induced errors was worked out because the cutting point of the cutter and the point to be cut of the workpiece have the same space position. The model which includes 30 cutting force induced error elements can be used to calculate the compensation value.
出处
《中国机械工程》
EI
CAS
CSCD
北大核心
2008年第16期1908-1911,共4页
China Mechanical Engineering
基金
高等学校全国优秀博士学位论文作者专项资金资助项目(200131)
上海市引进技术的吸收与创新年度计划资助项目(04-5-1)
关键词
切削力误差
齐次坐标变换
建模
数控铣床
cutting force induced error
homogeneous coordinate transformation
modeling
CNC milling machine
