关键词: 数学模型, 球刃铣刀, 六轴联动

Abstract: Based on the embedded Computer Numerical Control (CNC) tool grinding system, a numerical control model to grind ball-nose end-mill was presented in 6-axis feed. The elliptic trace to grind the cutters rake on ball-nose was designed by analyzing the position relationships among the 6 coordinates of the grinding point. The grinding wheel was swiveled to be effectively projected as elliptic shape to contour the required elliptic trace on the workpiece through the 6-axis feeding. A theorem about the eccentric-angle relationship between the ellipses of same quadrant in different projection sections was proposed and proved. Based on this theorem, the control model for relevant position in 6 coordinates between the grinding wheel and the ball-nose end-mill was deduced. The grinding test showed that the control model was effective to grind the ball-nose end-mill accurately.

Key words: mathematical model, ball-nose end-mill, 6-axis feed, numerical control