Tooth contact analysis(TCA) of real helical gear tooth surface

An approach application of gear meshing theory for calculating tooth working-surface contact, tooth edge contact and normal vector of helical gear real tooth surface is proposed to improve the transmission properties of drive gear. We represented the real tooth surface with a sum of two vector functions that determine the theoretical tooth surface and the deviation surface fitted by 3 B splines based on tooth surface mesh data from 3-dimentional coordinate measuring machine, and the normal vector of the deviation surface was deduced, having drawn up a set of calculation procedures, which simulate TCA of the helical gear tooth with various deviation surfaces. The model is proved to be correct when applied to gear drive of pinion with longitudinal and three-dimensional adding deviation surfaces, and provides a new method for TCA of real helical gear tooth surface.