Resharpenable pinion type cutter with arbitrary tooth shape

摘要

An axially perpendicular tooth shape profile contour for an internal gear is given as a series of dispersive points, the given series of axially perpendicular cross-sectional tooth shape profile points for the internal gear is interpolated by the Akima method to define the axially perpendicular cross-sectional tooth shape profile which is then defined by a formula whereby the coordinate system has been transformed to a fixed coordinate system that rotates integrally with the pinion type cutter. An envelope of a group of curves represented by the formula is determined, the axially perpendicular cross-sectional cutting edge shape profile of the pinion type cutter is determined by projecting the envelope onto a cone of the rake surface of the pinion type cutter, and the cutting edge shape profile of the pinion type cutter is defined by superposing in the axial direction of the pinion type cutter the axially perpendicular cross-sectional cutting edge shape profile obtained by varying the center distance between the pinion type cutter and the internal gear. It is possible to prevent tooth shape errors in the gear by using the resharpened pinion type cutter. <IMAGE>