This is the highly effective method. In this paper an innovative theory for machining complicated surface is presented. By using a anural milling tool instead of ball-end mill or the flat-ended tool, and by adjusting the axis of cutter relative to the surface, the two surfaces, the swept surface and the required surface, have the same curvatures, up to as high as 3rd order. Through the deduction of differential equation, some theory on partial touching between surfaces and surfaces when manufacturing has been explored. The problem of axis orientation under this condition has also been discussed clearly. The outside of the circular tool is a surface; the surface to be machined is a groove, which can be represented by its transverse line. In this case the problem is attributed to the contact between surface and curve.
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