61 巻 (1995) 588 号 p. 3416-3422
In this paper, exact calculation methods for cutting-edge profiles of two kinds of globoidal worm-shaped tools for finishing a helical gear with an arbitrary tooth profile are proposed. One is a globoidal worm-shaped tool which is in line contact simultaneously with many teeth of a helical gear finished by it. The other whose cutting-edge profile is the same in all sections including the tool axis, is in point contact with the helical gear to be generated. The latter can finish many kinds of gears with different numbers of teeth or helix angles. By substituting zero for the number of threads, these methods are applicable to a form-grinding wheel.