An Optimal Interpolation Approach of Archimedes's Spiral to Cutter Path for NC Machining of Noncircular Contours

摘要

In NC machining of noncircular contours, where cutter is fed along a straight line intersecting perpendicularly the rotation axis of work piece, the cutter path usually consists of Archimedes's spiral segments. This paper proposes an optimal interpolation approach of Archimedes's spiral to generating cutter path for machining planar curve contours. The segment number of the cutter path resulted from the approach not only is the fewest but also the interpolation accuracy agrees with the specified value. It has been also evidenced that the profile error of machined contour corresponding to the cutter path is perfectly controlled within the specified interpolation accuracy limit. The interpolation results of applying the proposed approach to machining a disc cam profile sufficiently confirm the validity of the approach.