2000 年 66 巻 651 号 p. 3705-3710
A control method of finishing dimensions of a helical concave conical gear, called center-ball measurement, is newly developed. The tooth surface of the concave conical gear is different from that of the conical involute gear, which is concave compared to the tooth surface of the conical involute gear. So the over-ball measurement of the conical involute gear can not be used at it is, but can be applied to a special measuring conditions. This center-ball measurement is based on the over-ball measurement of the helical conical gear. But in this method, the measuring ball, which is composed of two hemispheres, must be used. So the over-ball diameter can not be measured, but a center-ball diameter, which is the distance between two ball centers, can be measured instead. In this research, first the measuring condition is established. Second the center-ball diameter is obtained analytically. Finally, the center-ball diameter is verified through experiments. The experiments prove that this method has opened a door to the control of finishing dimensions in hobbing and grinding of the helical concave conical gear.