Tool Path Planning with Confined Scallop Height Error Using Optimal Connected Fermat Spirals  

作　　者：Hong-Yu Ma Chun-Ming Yuan Li-Yong Shen 

机构地区：[1]KLMM,Academy of Mathematics and Systems Sciences,CAS,Beijing 100190,People’s Republic of China [2]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,People’s Republic of China

出　　处：《Communications in Mathematics and Statistics》2024年第1期55-78,共24页数学与统计通讯（英文）

基　　金：supported by Beijing Natural Science Foundation under Grant Z190004;National Key Research and Development Program of China under Grant 2020YFA0713703,NSFC(Nos.11688101,61872332)and Fundamental Research Funds for the Central Universities.

摘　　要：In CNC machining,the tool path planning of the cutter plays an important role.In this paper,we generate a space-filling and continuous tool path for free-form surface represented by the triangular mesh with a confined scallop height.The tool path is constructed from connected Fermat spirals(CFS)but with fewer inflection points.Comparing with the newly developed CFS method,only about half of the number of inflection points are involved.Moreover,the kinematic constraints are simultaneously taken into account to increase the feedrates in machining.Finally,we use a micro-line trajectory technique to smooth the tool path.Experimental results and physical cutting tests are provided to illustrate and clarify our method.

关 键 词：Tool path planning Connected Fermat spirals Scallop height Kinematic constraints 

分 类 号：O17[理学—数学]