基于三角Bézier曲面平刀环切粗加工刀轨生成算法  

Generating algorithm of contour-parallel rough tool-path for triangular Bézier surface

作　　者：孙殿柱[1] 王超[1] 刘华东[1] 李延瑞[1] 

机构地区：[1]山东理工大学机械工程学院,山东淄博255091

出　　处：《计算机集成制造系统》2012年第10期2191-2195,共5页Computer Integrated Manufacturing Systems

基　　金：国家自然科学基金资助项目(51075247);山东省自然科学基金资助项目(ZR2010EM008)~~

摘　　要：为实现基于三角Bézier曲面造型技术的产品逆向设计与制造,提出一种针对三角Bézier曲面模型的平头刀环切粗加工刀轨生成算法,该算法通过优化R*树的构建过程,建立了三角Bézier曲面模型的动态索引,基于该索引快速获取瞬时加工区域三角Bézier曲面片,进而采用刀具表面离散的方法迭代计算无干涉刀位点,并建立了三角Bézier曲面的Z向包络面,采用R*树组织Z向包络面的拓扑近邻关系。将切削平面与Z向包络面求交获取截面轮廓环,并由它们之间的包含关系确定切削区域,进而获取环切粗加工刀轨。通过实例证明了该算法可对复杂三角Bézier曲面生成平刀无干涉环切粗加工刀轨。To realize the reversal design and manufacture of product based on the triangular Bézier surface modeling technology,a generating algorithm of contour-parallel tool-path for triangular Bézier surface model was proposed.Through optimizing R＊-tree＇s construction process,dynamic index of triangular Bézier surface model was established.The triangular Bézier surface patches in instant processing region were acquired based on proposed index,and interference-free cutter location points were iteratively calculated by using tool surface discription method.Z-direction envelop of triangular Bézier surface was built,and topological neighbor relations of Z-direction envelop were organized based on R＊ tree.The contour loops were obtained by intersection of Z-direction envelop and cutting plane,and the cutting area was determined.Thus contour-parallel rough tool-path was obtained.Through examples,the algorithm was proved to generate interference-free cutter contour-parallel rough tool-path for complex triangular Bézier surface.

关 键 词：三角BÉZIER曲面 R＊树 Z向包络面 环切粗加工刀轨 无干涉刀位点 

分 类 号：TP391.73[自动化与计算机技术—计算机应用技术]