Abstract: A new ZK worm mathematical model which involves several dressing parameters of cone grinding wheel is presented for the first time. The effects of worm parameters on the normal tooth profile error along with the changing of the grinding wheel radius is analyzed. A formula for calculating the tooth profile error is worked out. The principle for intellectually dressing the grinding wheel is presented. According to the principle, the grinding wheel can be dressed automatically as the wheel radius changes.

Key words: Mathematical model, Tooth profile error, Worm, dynamics, herringbone, load sharing, meshing phase, planetary gear