Proposal of a kinematic model of machine tools considering direction- and velocity-dependent error motions and cross-talk between the axes
 
Mashu Hiruya, Soichi Ibaraki
 
 
 
Abstract
 
The kinematic model is used for volumetric error compensation of a machine tool. The conventional kinematic model assumes that each axis performs rigid motion. This study proposes a new kinematic model considering three factors. The first one is the direction-dependent error motions, and the second one is the velocity-dependent error motions. The third one is the angular error of a certain linear axis varying with the position of the other axis mounted on it. We present an error measurement method using a cross grid encoder. The proposed error evaluation is demonstrated on a large-size three-axis machine tool.