Gear shaving is commonly used as a finishing process for gear manufacturing. The parameters of the shaving machine influence the precision of the shaved gear tooth profile significantly. This research develops the mathematical model of the shaved gear with longitudinal crowning considering the setting parameters of the gear-shaving machine. The additional rotating angle is also set up when the shaving cutter moves along the axis of work gear. The shaved gear's tooth contact analysis is also studied. The results shown in this research can be beneficial to engineers in the industry of gear manufacturing and control of a gear-shaving machine. IntroductionGear shaving is one of the most efficient and economical processes for gear finishing after the rough cuttings of hobbing or shaping. Through this process, the highest gear precision can be achieved is DIN 6 or DIN 7. Longitudinal crowning of a gear tooth can also be accomplished by gear shaving. This type of tooth modification eliminates edge contact of meshing gear teeth and, hence, significantly increases operation cycles.There are four basic shaving methods: axial shaving, tangential shaving, diagonal shaving, and plunge shaving. To induce longitudinal crowning in tangential or plunge shaving, the cutter has to be modified several times by grinding wheel to meet the requirements, which results in much time consumption and inevitable higher cost. In axial (or diagonal) shaving, however, it only requires rocking of the machine worktable by using the built-in crowning mechanism. This research focuses

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