In milling with ball end mills of die and mold having various inclined or curved surfaces, tool paths are adopted along an axis of workpiece coordinate system or contour line on workpeice surface. In this paper, a cutting model proposed in previous paper is applied to the milling along the contour line of inclined surface, and cutting forces and chip formation under various inclined angles of the surface are predicted. In the milling of inclined surface in which the left side surface of feed direction of the tool rises, it is obtained analytically that the variation of cutting forces with rotational angle becomes large and rapidly changes. This phenomenon is caused by difference of geometric quantities such as tool-workpiece contact region and undeformed chip thickness along the cutting edge with feed direction of the tool on inclined surface. Predicted results are good agreement with experimental results. From 1st to 4th reports of this investigation, it is confirmed that the cutting forces in various milling process in which both cutting edges of sphere and cylindrical portions engage with the workpiece can be predicted well by using the cutting model proposed and energy method.
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