Vector Calculation for Tool Envelope Surface in Five-Axis NC Machining
A vector calculation method is proposed to compute the tool envelope surface in five-axis machining. By introducing the typical five-axis machine tool motion, the velocity of cutter is obtained with rigid body motion theory. Based on envelope theory and some geometric characteristic of the cutter, the envelope condition is be simplified to find the grazing point with vector calculation method. The results can be applied to NC machining simulation, toolpath verification and optimization.
Y. S. Zhou et al., "Vector Calculation for Tool Envelope Surface in Five-Axis NC Machining", Advanced Materials Research, Vols. 314-316, pp. 1242-1245, 2011