A manifold approach to generating iso-scallop trajectories in three-axis machining  

作　　者：CHEN XuBing LI WenLong XIONG YouLun 

机构地区：[1]School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430073, China [2]State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, China

出　　处：《Science China(Technological Sciences)》2011年第1期131-139,共9页中国科学（技术科学英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.50835004,50905131);the Natural Science Foundation of Hubei Province (Grant No.2009CDB251)

摘　　要：A novel approach of iso-scallop trajectory generation for smooth manifold surfaces has been developed. Firstly,by defining homeomorphism mapping relations and differentiable structures,the smooth manifold surface is mapped into several Euclidean planes,thus its trajectory generation can be decomposed into planar curve-filling tasks. Secondly,in the generation of direction-parallel trajectories,the calculation of the cutting interval and the curvature is given,depending on the generation of the first curve in the projection view. Thirdly,after automatic adherences of inverse projection curves,the filled curves are mapped into the original surface inversely to form trajectories. Although the required trajectories are iso-scallop,the trajectory intervals are variable according to the curvature changes at the projection point,which is advantageous to improving the trajectory quality. The proposed approach has appealing merits of dimensionality reduction,which decreases the algorithm complexity. Finally,numerical and machining examples are given to illustrate its feasibility and validity.

关 键 词：smooth manifold surface iso-scallop trajectory three-axis machining homeomorphism mapping REGULARITY 

分 类 号：TP316.9[自动化与计算机技术—计算机软件与理论] O189.3[自动化与计算机技术—计算机科学与技术]