| 基于优化的四心法画椭圆误差分析 |
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| 引用本文： | 陈建能.基于优化的四心法画椭圆误差分析[J].农机化研究,2005(5):101-102,105. |
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| 作者姓名： | 陈建能 |
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| 作者单位： | 浙江理工大学,机械与自动控制学院,杭州,310018 |
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| 基金项目： | 福建省教育厅科技项目(JA03056) |
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| 摘 要： | 用几何作图方法画已知长短轴的椭圆，有同心圆法和四心法两种方法。其中．同心圆法是通过准确求得椭圆上的若干点，然后用光滑的曲线徒手连接这些点而得到。点数求得越多．所得的椭圆就越准确．但由于其作图繁琐且得到的椭圆图线不圆滑而使其应用受到限制，而四心法由于其作图简单且得到的椭圆图线光滑而倍受青睐。为此，介绍了四心法近似画椭圆的作图方法，定性分析该方法作图的误差。并建立误差分析的数学模型，采用优化的方法进行定量分析。
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| 关 键 词： | 机械设计 四心法 理论研究 误差分析 优化 椭圆 |
| 文章编号： | 1003-188X(2005)05-0101-02 |
Error Analysis of Four-center Method to Draw Ellipse Base on Optimization |
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| CHEN Jian-neng.Error Analysis of Four-center Method to Draw Ellipse Base on Optimization[J].Journal of Agricultural Mechanization Research,2005(5):101-102,105. |
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| Authors: | CHEN Jian-neng |
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| Abstract: | Four-center method to draw ellipse was introduced, and the error creating by the method was qualitatively analyzed. At the same time a mathematical model was built up, quantitative analysis of the method was conducted based on this model by optimization. The result is that the error is maximum when the ratio of long axle to short axle is about 0.24 and the error is minimum when long axle is equal to short axle. |
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| Keywords: | machinery design four-method theoretical research error analysis optimization ellipse |
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