| 三维表面有限元网格生成的修正Delaunay法 |
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| 引用本文： | 杨伟军 柳和生. 三维表面有限元网格生成的修正Delaunay法[J]. 塑性工程学报, 1999, 6(1): 34-38 |
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| 作者姓名： | 杨伟军 柳和生 |
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| 作者单位： | 南昌大学机电学院 |
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| 摘 要： | 本文介绍了有限元网格生成的Ｄｅｌａｕｎａｙ法的基本概念和实施步骤。三维表面有限元网格生成的方案，主要的运算都在二维参数平面中进行。三维表面上的Ｄｅｌａｕｎａｙ三角形的外接圆映射至二维参数平面上时，“外接圆”变成了形状复杂的封闭曲线。本文提出在二维参数平面上用“外接椭圆”近似封闭曲线而取代“外接圆”的修正Ｄｅｌａｕｎａｙ法。这种方法能够在三维空间表面上得到更理想的Ｄｅｌａｕｎａｙ三角形网格。
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| 关 键 词： | 有限元网格 三维表面 二维参数平面 修正Delaunay法 |
A MODIFIED DELAUNAY APPROACH APPLIED TO THREEDIMENSIONAL SURFACE MESHING |
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| Yang WeijunBao ZhongxuLiu Hesheng. A MODIFIED DELAUNAY APPROACH APPLIED TO THREEDIMENSIONAL SURFACE MESHING[J]. Journal of Plasticity Engineering, 1999, 6(1): 34-38 |
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| Authors: | Yang WeijunBao ZhongxuLiu Hesheng |
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| Abstract: | The general concepts and realizing schemes of Delaunay approach used for finite element meshing are described in this articleThe main meshing programs in 3D surface are normally carried out in the twodimensional parametric plane mapped from threedimensional surfaceIt is a truth that a circumcircle of a triangle in the 3D surface will be twisted or stretched into a complex closed curve after it is transformed onto 2D parametric planeIn order to avoid this problem and achieve a good mesh in 3D surface,a modified Delaunay Approach is presented here which uses a circumellipse approximating for the complex closed curve to replace the circumcircle in the 2D parametric planeThe result of this approach is a good Delaunay triangulation |
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| Keywords: | finite element mesh threedimensional surface twodimensional parametric plane modified delaunay approach |
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