Mathematics Modelling of Hobbing Gear with Arbitrary Tooth Profile and Investigation
Based on space meshing theory, the coordinate relation between the hob and the gear is established using the general tool which is used to product a standard involute gear. The space conversion matrix of hobbing movement is deduced. The movement controlling model of CNC gear-hobbing machine of the gear with arbitrary tooth profile is built. By taking cosine gear as an example, the modelling is studied. It provides a theoretical foundation for machining the arbitrary profile gear and the complex surface.
H. R. Hu et al., "Mathematics Modelling of Hobbing Gear with Arbitrary Tooth Profile and Investigation", Applied Mechanics and Materials, Vol. 103, pp. 404-409, 2012