[1]沈康乐.CL公式的理论基础[J].东南大学学报(自然科学版),1983,13(4):45-57.[doi:10.3969/j.issn.1001-0505.1983.04.005]
 Shen Kang-le.The Theoretical Foundation of C. L. Formula[J].Journal of Southeast University (Natural Science Edition),1983,13(4):45-57.[doi:10.3969/j.issn.1001-0505.1983.04.005]
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CL公式的理论基础()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
13
期数:
1983年第4期
页码:
45-57
栏目:
本刊信息
出版日期:
1983-12-20

文章信息/Info

Title:
The Theoretical Foundation of C. L. Formula
作者:
沈康乐
中国电子产品可靠性环境试验研究所
Author(s):
Shen Kang-le
关键词:
非圆曲线 运动方程 转化 圆束 数控机床 方程组 公式 转换理论 辅助圆弧 处理方法
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1983.04.005
摘要:
本文从数学理论角度对目前国内外广泛使用的二维数控机床编程技术提出一种新的图形处理方法。用运动的观点把圆弧和线段进行转化,使图形交点与拟合圆弧中心的各种组合形式以及非圆曲线的转化都抽象地统一为LL形式(两线相交)。文中提出一个新的数字概念,用圆束转换理论对圆弧和线段的正逆转化过程进行了定量的描绘与论证。从而建立统一的圆、线公式—CL公式,并用形象的六边形模式帮助记忆。
Abstract:
The article from the viewpoint of mathematical theory, proposes a new method of pattern processing for the programming technology used in two numerical control machines being widely used in China and foreign countries. The transformation of circular arc and line segmant is based on the theory of motion, i. e. abstractly unifying the different combinations of pattern cross points and fitting circular arc centers as well as the transfomation of noncircuar curves into the L L form (lines intersecting), The article proposes a new mathematical concept describing and verifying quantitatively the processes of posotive and negative circular are and line sagmant transformtions with the aid of circle beam transformation theory so as to establish a unified circle and line formula-C. L. Formula. It also employs a symbolic hexagonal mode in order to favour memorization.

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更新日期/Last Update: 2013-05-01