| 消声瓦几何生成的测地线法 |
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| 引用本文： | 严家祥,郑国群,吴崇健.消声瓦几何生成的测地线法[J].中国造船,2006,47(4):106-110. |
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| 作者姓名： | 严家祥 郑国群 吴崇健 |
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| 作者单位： | 中国舰船研究设计中心,湖北,武汉,430064 |
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| 摘 要： | 利用艇体外形曲面型值点阵,构造双三次准均匀B样条曲面的插值函数,再利用测地线微分方程进行测地线的数值求解,生成艇体曲面上任意点任意方向上一定弧长的测地线,用于绘制艇体曲面上消声瓦敷设后的三维边界曲线。对上述消声瓦三维边界曲线的几何生成方法进行了理论探讨,并利用M ATLAB语言进行了编程计算和图形输出。
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| 关 键 词： | 船舶、舰船工程 三维设计 CAGD 消声瓦 测地线 B样条曲面 |
| 文章编号： | 1000-4882(2006)04-0106-05 |
| 收稿时间： | 11 2 2004 12:00AM |
| 修稿时间： | 2004年11月2日 |
Geodesic Method of Geometrically Generating for Anechoic Tile |
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| YAN Jia-xiang,ZHENG Guo-qun,WU Chong-jian.Geodesic Method of Geometrically Generating for Anechoic Tile[J].Shipbuilding of China,2006,47(4):106-110. |
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| Authors: | YAN Jia-xiang ZHENG Guo-qun WU Chong-jian |
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| Institution: | Chinese Warship Research and Design Center,Wuhan 430064, China |
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| Abstract: | This paper applies the offsets of submarine hull surface to establish the interpolated function of bi-cubic quasi-uniform B-spline surface.And then geodesic curves are solved with utilizing geodesic-curve differential equation by means of numerical method,which generates geodesic curve with a definite arc length on surfaces of submarine hull in arbitrary point and arbitrary direction.This geodesic curve represents the 3-D boundary curve of anechoic tile after being affixed.The theoretical study of this geometrical method to generate the 3-D boundary curve of anechoic tile is presented in this paper.Subsequently,the MATLAB program is applied for the calculating kernel and performing simple graphic output. |
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| Keywords: | ship engineering 3D-design CAGD anechoic tile geodesic curve B-spline surface |
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