1986 年 52 巻 10 号 p. 1746-1751
In this method, the values of coordinates and gradients at some points on a work tooth profile are needed. These values are essential for calculating the rack and the hob tooth profile analytically. Transmissions of tooth profile errors (the deviation from the theoretical value of coordinates and gradients) from a work to a rack and a rack to a hob and their inverse transmissions are analyzed. The transmission of errors is denoted by matrices. From these results, it can be known also how much error is caused on the work tooth profile by the error of hob tooth profile.