The mathematical model of dressing gear profiles plunge shaving-cutter and profiled cutter shaves gears are set up.The engaging equations of the twi-mesh and tooth surface equations are deduced.

• 建立了修磨轮对径向剃齿刀齿廓面第一次包络过程和修磨后的径向剃齿刀加工工件的第二次包络过程的数学模型，推导了两次啮合的啮合方程式，齿面方程式。