In this paper, under the existing processing and testing technology conditions. The tooth profile data points of the gear are detected by a three-coordinate measuring machine. In order to improve the detection accuracy, the outlier data points are eliminated by using the distance formula based on the point to the straight line and the Pauta criterion. After completing the data point preprocessing, using B-spline curve fitting algorithm, realize the fitting of the involute of the gear. According to the fitting curve results and the involute error range of the standard gear, the involute cluster is calculated. Then use the equidistant curve formula to locate the involute closest to the measured data point. According to the radius of the base circle of the nearest involute from the data point and the coordinate value of the intersection point of the involute and the gear dividing circle, the cumulative pitch deviation ΔFp of the gear and the radial runout tolerance of the ring gear ΔFr are calculated, realize the error evaluation of gear. In order to optimize the processing technology of gear shaper, improve the accuracy of gear cutting, accurate data are provided.
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Cao et al. (2024) studied this question.
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