关键词: 圆柱刀, 圆锥刀, 侧铣, 非可展直纹面, 最小二乘逼近

Abstract: The theoretical model of flank milling non-developable ruled surface of cylindrical cutter and conical cutter was summarized as the best square approximation problem for the tool surface and surface designed.Based on the tool path planning errors of processed surface,a mapping curve of the tool axis was obtained on the tool surface,which could be used to express the closeness between the tool surface and the surface to be machined.Further,the Least Square (LS) approximation model and corresponding solving methods for the determination of tool position were presented.Experimental results showed that the geometrical errors related to the proposed method significantly lower than that associated with Double Point Offset (DPO) method,Three Point Offset (TPO) method and CNC machining module of UG.The methods provided a theoretical reference for the flank milling of non-developable ruled surface.

Key words: cylindrical cutter, conical cutter, flank milling, non-developable ruled surface, least square approximation