Power skiving for internal gears has drawn increased industry attention in recent years because it has higher precision and productivity than gear shaping or broaching. Yet even though the commonly adopted conical skiving tool has better wear resistance than the cylindrical one, when known design methods are used, the tool geometry is still subject to profile errors. This paper therefore proposes a novel design method for the conical skiving tool and establishes a mathematical model of error-free flank faces. These faces are formed by conjugating the cutting edges on the rake faces—derived from a group of generating gears with progressively decreasing profile-shifted coefficients—with the work gear. A mathematical model of the work gear tooth surfaces produced by the cutting edges (over flank faces) of tool at different resharpened depths is then adopted to examine the tooth surface deviations produced with their theoretical equivalents. The results verify the correctness of the mathematical models.

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