Accuracy enhancement of five-axis machine tool based on differential motion matrix: Geometric error modeling, identification and compensation

作者：Fu, Guoqiang; Fu, Jianzhong^*; Xu, Yuetong; Chen, Zichen; Lai, Jintao

来源：International Journal of Machine Tools and Manufacture, 2015, 89: 170-181.

DOI：10.1016/j.ijmachtools.2014.11.005

• Geometric errors
• Differential motion matrix
• Integrated error components
• Error compensation
• Error identification

This paper presents the precision enhancement of five-axis machine tools according to differential motion matrix, including geometric error modeling, identification and compensation. Differential motion matrix describes the relationship between transforming differential changes of coordinate frames. Firstly, differential motion matrix of each axis relative to tool is established based on homogenous transformation matrix of tool relative to each axis. Secondly, the influences of errors of each axis on accuracy of tool are calculated with error vector of each axis. The sum of these influences is integration of error components of machine tool in coordinate system of tool. It endows the error modeling clear physical meaning. Moreover, integrated error components are transformed to coordinate frame of working table for integrated error transformation matrix of machine tools. Thirdly, constructed Jacobian is established using differential motion matrix of each axis without extra calculation to compensate the integrated error components of tool. It makes compensation easy and convenient with reuse of intermediate. Fourthly, six-circle method of ballbar is developed based on differential motion matrix to identify all ten error components of each rotary axis. Finally, the experiments are carried out on SmartCNC500 five-axis machine tool to testify the effectiveness of proposed accuracy enhancement with differential motion matrix.

• 出版日期2015-2
• 单位浙江大学