Digital Surface of Gradually Opened Helical Surface and Its Metrological Characteristics
The measurement characteristics of digital surface are the important basis of virtual simulation and meas-urement.This paper presents a digital surface construction method of involute gear tooth surface based on geometric fea-tures.According to the intersection relation between the involute,helical and contact lines of the involute gear tooth surface,mesh points of the tooth surface are divided,and the asymptotic helical surface composed of triangular surfaces and the double cubic NURBS involute helical surface are constructed respectively.The surface shape fitting feature and fitting preci-sion,the feature line fitting feature and fitting precision,the feature line fitting precision and smoothness are analyzed and calculated.The analysis results show that the two digitized surfaces have distinct characteristics,and the NURBS gradually opened helical surface has good precision and light quality.