[1]秦力一,许德刚,周爱民..基于切应力条件的广义协调等参元[J].郑州大学学报(工学版),2005,26(02):92-94.[doi:10.3969/j.issn.1671-6833.2005.02.023]
　Qin Liyi,Xu Degang,Zhou Aimin.Generalized coordination and other parameters based on shear stress conditions[J].Journal of Zhengzhou University (Engineering Science),2005,26(02):92-94.[doi:10.3969/j.issn.1671-6833.2005.02.023]

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基于切应力条件的广义协调等参元()

分享到：

《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

26卷

期数:

2005年02期

页码:

92-94

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

Generalized coordination and other parameters based on shear stress conditions

作者:

秦力一; 许德刚; 周爱民.

郑州大学工程力学系,河南,郑州,450002, 郑州大学工程力学系,河南,郑州,450002, 郑州大学工程力学系,河南,郑州,450002

Author(s):

Qin Liyi; Xu Degang; Zhou Aimin

关键词:

广义协调;  等参元;  线性切应力

Keywords:

broad coordination;  etc.;  Linear shear stress

DOI:

10.3969/j.issn.1671-6833.2005.02.023

文献标志码:

A

摘要:

非协调位移模式可有效改善计算精度,但对任意非规则网格常不能满足收敛性条件.根据线性边界力状态下的广义协调条件,对任意不规则四边形单元构造出一种广义协调等参元.该单元的导出考虑了线性切应力条件,使单元间位移协调条件在加权残数意义上得以满足.进一步给出了相应的广义协调应变形函数矩阵,模式紧凑而不易出现奇异性.该等参元对任意不规则四边形网格能通过分片检验,当单元为平行四边形时蜕化为Q6元.算例表明,该类型等参元精度较高,对不规则网格剖分能保持良好的数值性态.

Abstract:

The non-coordinated displacement mode can effectively improve the calculation accuracy, but the convergence condition is often not satisfied for any irregular mesh. According to the generalized coordination condition under the linear boundary force, a generalized coordination isoparameter is constructed for any irregular quadrilateral element. The derivation of this element takes into account the linear shear stress condition, so that the displacement coordination condition between the elements is satisfied in the sense of weighted residual number. Furthermore, the corresponding generalized coordination should deform function matrix, and the mode is compact and not prone to singularity. Such parameter pairs can pass the sharding test for any irregular quadrilateral mesh, and degenerate into Q6 when the elements are parallelograms. The example shows that the parameter accuracy of this type is high, and the irregular mesh splitting can maintain good numerical behavior.

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