椭圆加工作业中的四圆弧切比雪夫逼近  

CHEBYSHEV APPROXIMATING FOUR PIECES OF CIRCULAR ARC TO ELLIPSE IN MACHINING AND OPERATING

作　　者：彭云柯[1] 

机构地区：[1]广西工学院机械系,柳州545006

出　　处：《机械工程学报》2004年第12期168-171,共4页Journal of Mechanical Engineering

基　　金：广西教育厅科研资助项目(2002316)。

摘　　要：采用约束非线性切比雪夫逼近论,给出了一种用四段圆弧逼近椭圆的方法,可使最大逼近误差达到最小,从而提高了数控机床和机器人的椭圆加工作业的精度。并且提供了最佳半径的相当准确的近似计算公式,可作为最后结果使用,从而避免编程迭代。According to nonlinear Chebyshev approximation theory subject to constrains a computational method approximation four pieces of circular arc to ellipse is presented. By the method the maximum approximate error is decreased to the minimum. Therefore the accuracy in machining and operation of numerical control machine tools and robots is improved. Several approximate formulae that are quite accurate are also presented and can be taken as the formulae of the optimal radii thus the programming and iteration are avoided.

关 键 词：椭圆 四段圆弧 切比雪夫逼近 

分 类 号：TG65[金属学及工艺—金属切削加工及机床]