Using the optimisation methods to minimize the machining time on the free-form surfaces in 3-axis milling

摘要

The object of this study is to minimize the machining time on the free-form surfaces while respecting a scallop height criteria. The analytical expression of the machining time is not known. By hypothesis, it is assumed proportional to the path length crossed by the cutting tool on the surface. This length depends on the feed direction and it is influenced by the topology of the surface. To have an optimal feed direction at any point, the surface is divided into zones with low variation of the normal. Each zone has an optimal feed direction and minimum path length. Furthermore, a penalty reflecting the time of movement of the tool from a zone to another one is taken into account. Several algorithms are used to resolve this problem: Clarke and Wright's, Greedy Randomized Adaptive Search Procedure, Tabu search and Nearest neighbor search. A concrete example is illustrated.