基于阿当姆斯算法的NURBS曲线插补  

NURBS interpolation based on Adams algorithm

作　　者：贾庆祥[1] 徐知行[1] 刘新山 

机构地区：[1]吉林大学机械科学与工程学院,长春130022 [2]大连机床有限责任公司,辽宁大连116620

出　　处：《吉林大学学报（工学版）》2009年第S1期215-218,共4页Journal of Jilin University:Engineering and Technology Edition

基　　金：吉林省科技发展计划项目(20050532)

摘　　要：为增强高速精密数控加工的能力,提出了一种基于阿当姆斯算法的NURBS曲线插补方法。该方法通过前向、后向差分结合代替微分的方法,对阿当姆斯法求解微分方程的插值算法进行了合理的简化及近似,并通过预估-校正方法对迭代精度进行控制,以保证高速精密加工对计算速度以及精度的要求。经过MATLAB对插补轨迹仿真分析,证明了该插补算法的可行性及有效性。To improve the capability of CNC machines in high speed and precision machining,an NURBS interpolation method based on Adams algorithm was presented.The rational calculation predigestion and approximation was achieved by the method,which replaces derivative by combinating the forward and backward deference.Then the predictor-corrector method was applied to control the iterative accuracy.So the method can fulfill the requirements of calculating speed and calculating accuracy of the high speed and precision machining.Through the locus simulation with MATLAB,the interpolation algorithm was proved to be feasible and effective.

关 键 词：计算机数控 NURBS曲线 插补算法 

分 类 号：TG659[金属学及工艺—金属切削加工及机床]