采用三角形面积坐标的四边形17节点样条单元

陈娟; 李崇君; 陈万吉

doi:10.3879/j.issn.1000-0887.2010.01.013

采用三角形面积坐标的四边形17节点样条单元

doi: 10.3879/j.issn.1000-0887.2010.01.013

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;
沈阳航空工业学院飞行器结构分析研究所,沈阳 130115

基金项目: 国家自然科学基金资助项目(60533060;10672032;10726067)

详细信息

作者简介:
陈娟(1982- ),女,甘肃人,博士生(联系人.E-mail:chenjuan@mail.dlu.tedu.cn).

中图分类号: O241;O343
计量
- 文章访问数: 1663
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- 被引次数: 0
出版历程
- 收稿日期: 2009-07-20
- 修回日期: 2009-12-04
- 刊出日期: 2010-01-15

A 17-Node Quadrilateral Spline Finite Element Using the Triangular Area Coordinates

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;

摘要

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．
- 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
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.
- 17-node quadrilateral element /
- bivariate spline in terpolation basis /
- triangular area coordinates /
- B-netmethod /
- fourth-order completeness

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参考文献(11)

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