非圆链轮分度线的样条拟合  

Cubic Rational Bezier Spline Curve With A Given Set of Tangents of Chain Wheel

作　　者：闵小平[1] 

机构地区：[1]长沙大学,长沙410003

出　　处：《国防科技大学学报》1999年第4期122-124,共3页Journal of National University of Defense Technology

摘　　要：非圆链传动中，两链轮分度线为非圆形，该曲线数学表达式是一个非线性函数方程组，严格求解这一函数方程组似乎毫无希望，但是依据动力学的方法可以构造此曲线的切线系，即一切线多边形。从而将这一问题转化为求与切线多边形每条边相切的逼近曲线。The mathematical description of chain wheel drives with two fixed non-cricular wheels,a transmission chain of constant length and g give non costant velocity ratio leads to a system of nonlinear functional equations.It seems impossible to solve this equations ,but we can construct a set of tangents of thesse wheels by kinematic methods.The desired curve can be approximated by constructing spline curve.This paper considers piecewise raional cubic Bezier curve which has all these tangents as tangents,the curve is G 2 continuous and shape preserving.

关 键 词：CAD 链轮 样条拟合 BEZIER曲线 非圆链轮 

分 类 号：TH132.45[机械工程—机械制造及自动化]