五轴数控加工中扫掠轮廓线的B样条表达  

B-spline Representation of Swept Profile in Five-axis NC Machining

作　　者：车尧炎[1] 

机构地区：[1]浙江工业职业技术学院,绍兴312000

出　　处：《机械科学与技术》2011年第12期2102-2106,共5页Mechanical Science and Technology for Aerospace Engineering

摘　　要：提出用B样条表示五轴加工中刀具扫掠轮廓线的算法。首先根据轮廓线的显式方程计算其二阶导矢,然后基于二阶导矢界估算轮廓线上的采样点数,接着通过B样条插值、节点消去和组合等曲线近似技术求得B样条曲线。所得的曲线具有控制顶点少且误差在给定范围内的特点,从而实现了对轮廓线的有效计算机表达,同时该方法可推广到刀具扫掠面的B样条表达。This paper presents an algorithms to represent the cutter swept profile which determines the machined surface in five-aixs NC machining by the B-spline. Firstly, the second derivative of swept profile is explicitly evaluated, and based on which the number of sampling points is calculated. Then the sampling points are interpolated by a B-spline curve, and its unwanted nodes are removed by using the approximation tolerance. The obtained B-spline curve has a small number of control points and its error is restricted within the tolerance. Therefore, the cutter swept profile is effectively represented. The presented method can also be extended to the B-spline representation for a cutter swept surface.

关 键 词：五轴加工 扫掠轮廓线 B样条 曲线近似 

分 类 号：TG659[金属学及工艺—金属切削加工及机床] TP391[自动化与计算机技术—计算机应用技术]