| 椭圆柱面上测地线的几种求解方法研究 |
| |
| 引用本文： | 林大钧,郭慧,展益彬.椭圆柱面上测地线的几种求解方法研究[J].东华大学学报(自然科学版),2005,31(4):79-81. |
| |
| 作者姓名： | 林大钧 郭慧 展益彬 |
| |
| 作者单位： | 华东理工大学机械与动力工程学院,上海,200237 |
| |
| 摘 要： | 根据测地线的几何性质，应用微分方程及变分法从数学角度阐述了椭圆柱面上测地线的求解方法。应用曲面展开方法建立椭圆柱面上测地线的几何模型，并由几何模型推导出数学模型，通过计算机编程实现在椭圆柱面上任意两点间绘制测地线的功能，使求解结果具有直观性。
|
| 关 键 词： | 测地线 椭圆柱 微分 变分 展开 |
| 收稿时间： | 2004-12-15 |
| 修稿时间： | 2004年12月15 |
Study on Several Kinds for Geodesic Lines of Elliptic Cylinder to Solve the Method |
| |
| LIN Da-jun,GUO Hui,ZHAN Yi-bin.Study on Several Kinds for Geodesic Lines of Elliptic Cylinder to Solve the Method[J].Journal of Donghua University,2005,31(4):79-81. |
| |
| Authors: | LIN Da-jun GUO Hui ZHAN Yi-bin |
| |
| Abstract: | According to the geometry properties of geodesic line several kinds for geodesic lines of elliptic cylinder to solve the method are expatiated. Two methods are applied, the first is curved surface development to establish geometry model of the geodesic line on the elliptic cylinder. And secondly is mathematics the model that is deduced by geometry model. The function of draw geodesic lines on the elliptic cylinder arbitrarily between two points is realized by applying computer program and make beg the solution to consequently have the visualization. |
| |
| Keywords: | geodesic line elliptic cylinder differential development |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
