Geometric algorithms for computing cutter engagement functions in 2.5D milling operations

Cutter engagement is a measure that describes what portion of the cutter is involved in machining at a given instant of time. During profile milling of complex geometries, cutter engagement varies significantly along the cutter path. Cutter engagement information helps in determining the efficiency of the cutter path and also helps in improving it by adjusting the feed rate. This paper describes geometric algorithms for computing piece-wise continuous closed-form cutter engagement functions for 2.5D milling operations. The results produced by our algorithm are compared with the results obtained by discrete simulations of the cutting process and appear to match very well.