| 引用本文: | 闵小平.非圆链轮分度线的样条拟合.[J].国防科技大学学报,1999,21(4):122-124.[点击复制] |
| Ming Xiaoping.Cubic Rational Bezier Spline Curve With A Given Set of Tangents of Chain Wheel[J].Journal of National University of Defense Technology,1999,21(4):122-124[点击复制] |
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| 非圆链轮分度线的样条拟合 |
| 闵小平 |
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(长沙大学 湖南 长沙 410003)
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| 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。 |
| 关键词: CAD, 链轮, 拟合, Bezier 曲线 |
| DOI： |
| 投稿日期：1998-12-01 |
| 基金项目: |
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| Cubic Rational Bezier Spline Curve With A Given Set of Tangents of Chain Wheel |
| Ming Xiaoping |
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(Changsha University, Changsha , 410003)
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| Abstract: |
| 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 G2-continuous and shape-preserving. |
| Keywords: CAD, Bezier curve, chain-wheel, fitting |
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