Influence of coordinate system establishment error on tooth profile deviation measured by standard polar coordinate method on gear measuring center

Abstract

This paper presents the influence of the coordinate system establishment error on the tooth profile deviation with the standard polar coordinate method (SPCM) for a gear measuring center (GMC). The tooth profile deviation measurement model of the SPCM and the coordinate system establishment error model are established. The influences of the coordinate system establishment errors in the X and Y directions on the measurement accuracy of involute tooth profile are simulated on a Digital Twin of GMC (DTGMC) platform, and the model is verified by experiments. The research shows that the influences of the coordinate system establishment errors in different directions on the tooth profile deviation are different, which should be taken seriously. It is found that by changing the error direction, the influence of the measurement error caused by the coordinate system establishment error can be offset, providing a new method to improve the measurement accuracy of the gear tooth profile with the SPCM.