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为探索曲面等行距加工中的走刀方向优选原则,对凹曲面铣削时的二维几何模型进行数学推导,证明了残留高度对横向曲率半径的偏导数为正数,说明凹曲面的残留高度随横向曲率半径的增大而增大。进而可知横向为凹曲线、直线、凸曲线时的加工精度会依次降低。采用等行距法沿纵横两个不同方向铣削相同的马鞍面时,横向为凹曲线的加工的表面粗糙度比横向为凸曲线低。这一结果对选择曲面加工方向具有重要参考价值,尤其适用于小半径曲面半精加工。
In order to explore the optimal principle of cutting direction in the process of surface machining, the mathematical derivation of the two-dimensional geometric model during the concave surface milling proves that the partial derivative of the residual height to the transverse curvature radius is positive, indicating that the residual height of the concave surface The lateral radius of curvature increases with increasing radius. Further, it can be seen that the machining accuracy when the transverse direction is a concave curve, a straight line, or a convex curve decreases sequentially. When the same saddle surface is milled in two different directions of vertical and horizontal by the equi-spacing method, the surface roughness of the machining with the concave curve in the horizontal direction is lower than the convex curve in the transverse direction. This result has an important reference value for the choice of surface machining direction, especially for small radius surface semi-finishing.