| 用第三类四边形面积坐标构造一个四结点四边形膜元 | |
| 王丽 ; 龙志飞 ; 龙驭球 ; WANG Li ; LONG Zhi-fei ; LONG Yu-qiu | |
| 2010-06-07 ; 2010-06-07 | |
| 关键词 | 有限元 四边形膜元 第三类面积坐标 位移函数 网格畸变 finite element quadrilateral membrane element the third version of area coordinate displacement function mesh distortio O302 |
| 其他题名 | A FOUR-NODE QUADRILATERAL MEMBRANE ELEMENT FORMULATED BY THE THIRD VERSION OF THE QUADRILATERAL AREA COORDINATE METHOD |
| 中文摘要 | 四边形第一类和第二类面积坐标(QAC-Ⅰ和QAC-Ⅱ)分别被提出以后,又提出了第三类面积坐标(QAC-Ⅲ),它不仅保留了QAC-Ⅰ和QAC-Ⅱ的主要优点,而且具有其他一些优异特性。该文应用第三类四边形面积坐标(QAC-Ⅲ),构造出一个含内参的四结点四边形膜元,记为QACⅢ-Q6元。这个新单元有以下优点:1)与Wilson的Q6元相比,新单元具有计算精度高,对网格畸变不敏感的优点;2)与基于QAC-Ⅰ和基于QAC-Ⅱ的Q6元相比,新单元不仅具有同样优异的单元性能,而且其推导方法更为简明,其形函数更为简洁。; With the first version and second version of quadrilateral area coordinate method (QAC-Ⅰ and QAC-Ⅱ) developed, the third version of quadrilateral area coordinate method (QAC-Ⅲ) is proposed, which, except for retaining main advantages of QAC-Ⅰ and QAC-Ⅱ, owns some other distinguishing features. In this paper, QAC-Ⅲ is used to formulate a new 4-node membrane element with internal parameters, denoted as element QACⅢ-Q6. This new element exhibits the following advantages: 1) compared with Wilson’s element Q6, this new element possesses high accuracy and is insensitive to mesh distortion. 2 this new element has comparable performance to the Q6 elements formulated by QAC-Ⅰ and QAC-Ⅱ, moreover, the procedure in formulation is simple, and the expression for the shape function matrix is concise. |
| 语种 | 中文 ; 中文 |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/47125]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | 王丽,龙志飞,龙驭球,等. 用第三类四边形面积坐标构造一个四结点四边形膜元[J],2010, 2010. |
| APA | 王丽,龙志飞,龙驭球,WANG Li,LONG Zhi-fei,&LONG Yu-qiu.(2010).用第三类四边形面积坐标构造一个四结点四边形膜元.. |
| MLA | 王丽,et al."用第三类四边形面积坐标构造一个四结点四边形膜元".(2010). |
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