¹Graduate University of Chinese Academy of Science, Beijing 100039, China
²National Engineering Research Center For High-End CNC, Shenyang Institute of Computing Technology, CAS, Shenyang 110168, China
³Shenyang Golding NC Tech.Co.,Ltd.,Shenyang 110168, China

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Abstract—Presented in this article is a new accurate tool swept volume generation algorithm based on a generalized cutter for five-axis NC simulation and verification. Based on the surface envelope theory and the differential geometry, using analytical method, the strict deduction process of critical curve equation and swept envelope equation for generalized cutter are given. The motion feature of the cutter in five-axis machining is analyzed and the moving frame is established; Then, the detailed solving method of the cutter’s velocity is presented. Further, the accurate swept volume expression method and generation algorithm for generalized cutter are achieved. At last, the correctness and efficiency of the algorithm is verified by a fillet-end cutter’s experimental result. Although this algorithm is developed for cutter swept volume, it is also suitable for generating swept volume of any rotation rigid solid.

Index Terms—Generalized cutter; Swept volume; Envelope theory; Five-axis NC Machining Simulation; Critical Line

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Cite: Zhixiang Shao, Ruifeng Guo, Jie Li, JianJun Peng, "Accurate Modeling Method for Generalized Tool Swept Volume in 5-axis NC Machining Simulation," Journal of Software vol. 6, no. 10, pp. 2056-2063, 2011.