带卷屑槽刀具最大前角的数学模型与求解

由于现代数控刀具都设计有卷屑槽,从而使其前刀面不是平面,而是曲面。本文针对前刀面为圆柱面的一部分时,采用向量矩阵法建立最大前角计算的数学模型,应用该模型可以在给定条件下,计算曲面型前刀面车刀的最大前角和其它重要的几何参数。最后,给出了计算实例。

Mathematical Model and Solution to the Maximum Rake Angle of a Cutting Tool with Chip-curling Groove

Because there exists a chip-curling groove on the rake face, the rake face of a modern cutting tool used on NC machine tool is not a plane, but a curved surface. A mathematical model for calculating the maximum rake angle of a turning cutting tool with curved rake face using the vector-matrix approach is developed. With the help of this model, the maximal rake angle of the turning tool and other important geometric parameters can be obtained under the given conditions. At last, a practical example is presented.