| 解平行四边形板弯曲问题的二元B样条有限元法 |
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| 引用本文： | 刘焕文.解平行四边形板弯曲问题的二元B样条有限元法[J].广西科学,1998,5(1):15-19. |
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| 作者姓名： | 刘焕文 |
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| 作者单位： | 广西民族学院数学系 |
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| 摘 要： | 将文献［１］以二元二次Ｂ样条函数为基底，求解矩形薄板弯曲问题的二元Ｂ样条有限元的方法推广到用于求解平行四边形板弯曲问题．结果表明：该方法系数矩阵每行的非零元仅２１个，相对于朱明权和ＣｈｕｉＣ．Ｋ．等的张量积型样条有限元方法，计算量与存贮量都大大节约．
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| 关 键 词： | 平行四边形板 弯曲问题 二元B样条有限元 |
| 收稿时间： | 1997/11/28 0:00:00 |
Finite Element Method with Bivariate B Splines in Solving a Bending Problem of Parallelogram Boards |
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| Liu Huanwen.Finite Element Method with Bivariate B Splines in Solving a Bending Problem of Parallelogram Boards[J].Guangxi Sciences,1998,5(1):15-19. |
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| Authors: | Liu Huanwen |
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| Institution: | Dept. of Math., Guangxi Institute for Nationalities, Xixiangtanglu, Nanning, Guangxi, 530006 |
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| Abstract: | A finite element method with bivariate B spline is given in1] to solve a bending problem of rectangular boards based on the binary quadric B spline functions.we generalize the method to the case of parallelogram boards.It turns out that the method greatly reduces the computations and memory as comparied with the finite element method with splines of tensor product type of Zhu Mingquan and Chui C.K. etc. |
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| Keywords: | parallelogram boards bending problem finite element with bivariate B splines |
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