| 三角域曲面片的矩阵表示及c~1连续 |
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| 引用本文： | 陈和平. 三角域曲面片的矩阵表示及c~1连续[J]. 华中科技大学学报(自然科学版), 1991, 0(6) |
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| 作者姓名： | 陈和平 |
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| 作者单位： | 华中理工大学机械工程一系 |
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| 摘 要： | 本文对三角域的自由曲面,在重心坐标的基础上,采用正常域自由曲面的矩阵形式构造曲面片.通过矩阵微分运算,以确定曲面片上任意点的切矢,从而给出具有公共边界的两块三角域曲面片C~1的连续条件,为复杂曲面构型提供了一种新方法.
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| 关 键 词： | 三角域自由曲面 重心坐标 移位算子 循环算法 c~1连续 |
A Matrix Representation for the Surface Piece in a Triangular Domain and c1 Continuity |
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| Chen Heping. A Matrix Representation for the Surface Piece in a Triangular Domain and c1 Continuity[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1991, 0(6) |
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| Authors: | Chen Heping |
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| Affiliation: | Chen Heping |
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| Abstract: | The construction method for a surface piece on a free surface in a triangular domain based on the coordinates of center of gravity is investigated using ordinary matrix representation for the free surface in a normal domain. Such a representation has been found to be very simple and standard and convenient for programming. The directional derivative of the tangential vector has been calculated for any one point on the surface piece by differentiation of the matrix. The condition of c1 continuity for two surface pieces with c0 continuity in a triangular domain has been determined after a series of matrix operations. |
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| Keywords: | Free surface in a triangular domain Coordinates of center of gravity Shift operator Cyclic algorithm c1 continuity |
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