三次参数样条插补精度的主要影响因素分析

分析了采用等弦长方法插补三次参数样条曲线时，进给速度因素和曲率半径因素对插补精度的影响，利用曲线拟合方法分别得出了插补轮廓误差E与进给速度F、曲率半径R之间的函数关系式E—E（F）和E—E（R）。在E（F）中F^2的贡献最大；但当曲率半径较小时，随尺的减小，一次、常数的影响明显增加，在高精度加工中不可忽略；在E（R）中R^-1项贡献最大；曲率半径尺不变时，R叫项的贡献率随进给速度的增加而扩大。采用该算法，根据给定的误差要求，可精确计算出满足精度要求的最大进给速度Fmax和最小曲率半径Rmin。

Factors of Influencing Interpolation Precision of Cubic Parameters Spline Curve

This article has analyzed when uses chord length method interpolation cubic parameter spline curves,the factors of feed rate and radius of curvature to the interpolation precision's influence,using the curve fitting method separately obtains interpolation outline error E and feed rate F,between radius of curvature R function relationship E=E(F) and E=E(R).The F2contribution is biggest in E(F);but works as the radius of curvature to be small,and along with R reduction,a time,the constant influence increases ...