A new approach to geometric error modeling and compensation for a three-axis machine tool

This paper proposes a new geometric error model and compensation algorithm for the three-axis machine tools. First, the relative motion matrix to the coordinate system is constructed by the homogenous transformation matrix (HTM). Next, the geometric error model is deduced based on homogenous transformations. Then, an error compensation algorithm is developed by means of the computer numerical control (CNC) program reconstruction by using the geometric error model. Finally, the simulation is implemented on a virtual machine tool established in the VERICUT software to validate the efficiency of the model and the compensation algorithm. An autocollimator is used to measure the yaw errors and an experiment is implemented on a real machine tool. The results simulation and experiment indicate that the error modele and compensation algorithm can significantly improve the machining precision.