自由曲线轮廓加工的圆弧样条刀具路径研究  

Arc Spline Tool Path Generation for 2D NURBS Profile Milling

作　　者：杨旭静[1] 钟志华[1] 陈泽忠 

机构地区：[1]湖南大学汽车车身先进设计制造国家重点实验室,长沙410082 [2]康卡迪亚大学

出　　处：《中国机械工程》2006年第12期1277-1282,共6页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(10372029);国家863高技术研究发展计划资助项目(2004AA001310)

摘　　要：给出了一种平面曲线轮廓的圆弧样条拟合及刀具路径生成算法,该算法面向零件轮廓的光顺性刀具路径生成,通过应用曲线的曲率关系,对以NURBS表示的被拟合自由曲线按参数递增的方向用G1连续的圆弧或直线段逐段拟合,并生成相应的圆弧样条刀具路径,从而实现零件曲线轮廓表面的光顺加工。实例计算和分析结果证明了该算法具有计算稳定性好、计算效率高的优点,易于在数控加工中实现。A new curvature-based algorithm in free-form curve fitting was proposed to fit a 2D NURBS profile with an arc spline, where a new form of curvature formula with matrix representation was also proposed, and then the arc spline tool path with Gt continuity was generated. Prototypes designed with NURBS curves and surface were used to check the approach, and the results were analyzed to demonstrate that the prototypes profile machined by using arc splines is smoother than that by using line segments. Furthermore, this new algorithm is more efficient and robust, compared to linear and hiarc approximation methods.

关 键 词：圆弧样条 刀具路径 数控加工 NURBS 曲线拟合 

分 类 号：TH164[机械工程—机械制造及自动化]