内歯車歯形に共役な切れ刃形状をもつバレル形ウォーム状工具

概要

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In this investigation, the author proposes a calculation method of the cutting-edge profile of a barrel worm-shaped tool conjugate to the tooth profile of an internal gear, without considering an equivalent pinion meshed with it. The theory of gearing proposed by Litvin et al. is also utilized for calculation of contact points between a gear and a tool. It is examined whether or not this barrel worm-shaped tool can exactly finish an internal gear with a number of teeth and helix angle different from those used for design of the tool. It is shown that the tool is in point contact with the internal gear generated by it, and the tooth profile of the internal gear is finished by regular points of the cutting-edge profile of the barrel worm-shaped tool. Furthermore, it is confirmed that the regular generating point between the internal gear and the barrel worm-shaped tool is identical with that between the internal gear and a cylindrical worm-shaped tool.
1996-01-25