一种对数控系统运动轨迹中的转接段进行曲线拟合的方法  

A curve fitting method about the linkage segment of the trajectory of CNC system

作　　者：支劲章[1] 王太勇[1] 董靖川[1] 乔志峰[1] 

机构地区：[1]天津大学机械学院,天津300072

出　　处：《机械设计》2013年第3期5-7,共3页Journal of Machine Design

摘　　要：针对由于数控轨迹转接处存在夹角,从而导致加减速突然变化引起的加工误差。提出了一种在转接处构造分段三次Hermite参数多项式进行曲线拟合的方法,说明了此种参数多项式不会出现奇点和拐点的范围,保证了曲线的光顺性,从而保证了加速度的连续性。简要分析了在转接处使用此种参数多项式进行拟合的误差。并证明了如果参数间隔越小,则此种曲线拟合的效果越好。There exists an angle in the linkage segment of the NC trajectory,resulting in a sudden change in acceleration and deceleration of the machine tool and causing the machining error.This paper proposes a curve fitting method by using the piecewise cubic Hermite parameter polynomial constituted at the linkage segment,illustrates the scope of the polynomial that singular point and inflection point will not be appeared,ensuring the smoothness of the curve and the continuity of the acceleration.The fitting error at the linkage segment by using this kind of parameter polynomial was analyzed.It is proven that the smaller the parameter intervals,the better effect of such a curve fitting will be obtained.

关 键 词：运动轨迹 分段Hermite参数多项式 曲线拟合 误差分析 

分 类 号：TP23[自动化与计算机技术—检测技术与自动化装置]