To solve helical non-circular gear manufacturing problems
this paper research the simplest mathematical model for hobbing helical non-circular gear and linkage control structure which the machine tool should have.This article introduced the forming principle of helical non-circular gear tooth profile
and the simplest mathematical model for hobbing helical non-circular gear was deduced by Comprehensive using of helical teeth meshing principles and helical rack law and it was a 4-axes linkage control structure.Then
applying the electronic-gear circuit module and electronic differential combination circuit module developed by the authors
this paper designed a CNC system linkage control structure which hobbing helical non-circular gear required
and achieved hobbing helical non-circular gears.Helical non-circular gears manufacturing problems was solved.