| 环面构造管道拼接曲面的方法及其连续性 |
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| 引用本文： | 刘雪峰.环面构造管道拼接曲面的方法及其连续性[J].中国科学技术大学学报,2004,34(1):20-28. |
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| 作者姓名： | 刘雪峰 |
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| 作者单位： | 中国科学技术大学数学系,安徽,合肥,230026 |
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| 基金项目： | 国家杰出青年基金 (No .6 0 2 2 5 0 0 2)，教育部高校青年教师奖励计划，教育部博士点基金( 2 0 0 10 35 80 0 3) |
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| 摘 要： | 讨论了当给定管道截面为椭圆、并且给定截面与管道轴线不垂直的情况下 ,利用椭圆环面实现两椭圆柱面间光滑过渡曲面的构造方法 .当生成椭圆环面的运动轴线与给定管道轴线为一阶几何连续时 ,可使椭圆环面与给定管道达到一阶几何连续 ;当轴线为二阶几何连续时 ,曲面可以达到二阶几何连续 .并且还对于用法向环面构造过渡曲面的连续性做了进一步的分析 .
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| 关 键 词： | 椭圆环面 法向环面 管道 光滑拼接 几何连续 轴线 |
| 文章编号： | 0253-2778(2004)01-0020-09 |
| 修稿时间： | 2003年6月8日 |
Blending Pipe Surface by Ringed Surface and Its Continuity |
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| LIU Xue,feng.Blending Pipe Surface by Ringed Surface and Its Continuity[J].Journal of University of Science and Technology of China,2004,34(1):20-28. |
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| Authors: | LIU Xue feng |
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| Abstract: | Given two ellipse pipes, we are required to build the blending surface of pipes at the given sections. This paper discusses the method to build the blending face by ringed surface, the surface generated by moving an ellipse along a space curve, and its continuity even in the case that given sections are ellipses or non perpendicular to the axises of given pipes. Further discussion is given about the continuity of blending by normal ringed surface, the kind of ringed surface has the ellipses in the normal plane of the axis. |
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| Keywords: | normal ringed surface ringed surface pipesurface continuity of blending geometric continuity |
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