| 采用三角形面积坐标的四边形17节点样条单元 |
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| 引用本文： | 陈娟,李崇君,陈万吉.采用三角形面积坐标的四边形17节点样条单元[J].应用数学和力学,2010,31(1):117-126. |
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| 作者姓名： | 陈娟 李崇君 陈万吉 |
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| 作者单位： | 1.大连理工大学 数学科学学院,辽宁 大连 116024;2.大连理工大学 工业装备结构分析国家重点实验室,辽宁 大连 116024; |
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| 摘 要： | 利用二元4次样条插值基和三角形面积坐标构造17节点四边形单元．这个新单元具有4次完备阶，通过一些算例测试表明了该单元有较高精度并对网格畸变不敏感．
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| 关 键 词： | 17节点样条单元 二元样条插值基 三角形面积坐标 B网方法 4次完备阶 |
| 收稿时间： | 2009-07-20 |
A 17-Node Quadrilateral Spline Finite Element Using the Triangular Area Coordinates |
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| CHEN Juan,LI Chong-jun,CHEN Wan-ji.A 17-Node Quadrilateral Spline Finite Element Using the Triangular Area Coordinates[J].Applied Mathematics and Mechanics,2010,31(1):117-126. |
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| Authors: | CHEN Juan LI Chong-jun CHEN Wan-ji |
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| Institution: | 1.School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116024, P. R. China;State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116024, P. R. China; |
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| Abstract: | A 17-node quadrilateral element had been developed using the bivariate quartic spline interpolation basis and the triangular area coordinates,which could exactly model the quartic field.Some appropriate examples are employed to illustrate that the element possesses high precision and is insensitive to mesh distortions. |
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| Keywords: | 17-node quadrilateral element bivariate spline interpolation basis triangular area coordinates B-net method fourth-order completeness |
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