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首先对一般回转刀具的刀刃曲线的广义螺旋运动参数进行了统一定义，然后遵循“回转刀具表面模型→刀刃曲线模型→前刀面、后刀面模型”的路线建立了回转刀具的数学模型，为刀位轨迹计算及回转刀具的数控磨削加工奠定了理论基础．
Firstly, the generalized helical motion parameters of the blade edge of a general rotary tool are defined uniformly. Then the mathematical model of the rotary tool is established according to the route of “rotary tool surface model → edge curve model → rake face and flank model” Tool path trajectory calculation and rotary tool CNC grinding laid the theoretical foundation.