Abstract: To save inevitable modeling insufficiencies owing to the simplified modeling strategie, 3-dimensional kinematics simulation of gear hobbing based on solid modeling was developed. On the basis of the kinematic relationship and positional relationships between the hob cutter and work piece, the vector model of the gear hobbing motion based time-driven was put forward. Based on UG Secondary Development, geometrical model of hob tooth rake face and curvilinear model of hob tooth path were developed, and the swept geometric entity of the hob tooth was developed through the use of the combination of these two models. The intersection of every swept geometric entity and instantly formed working gear gap could be calculated by means of Boolean operation, by which the undeformed chip and gear gap profile could be obtained. The confirmation of the validity and accuracy of the proposed method was accomplished by comparison between the produced gear gap profile and theoretical ones.

Key words: gear hobbing simulation, solid modeling, undeformed chip, vector model