内参型四边形四节点拟协调平面单元

王长生; 齐朝晖; 张向奎; 胡平

doi:10.6052/0459-1879-14-167

内参型四边形四节点拟协调平面单元

doi: 10.6052/0459-1879-14-167

王长生^1,3,
齐朝晖^2,3,
张向奎^1,3,
胡平^1,3

1 大连理工大学运载工程与力学学部汽车工程学院, 大连 116024
2 大连理工大学工程力学系, 大连 116024
3 大连理工大学工业装备结构分析国家重点实验室, 大连 116024

基金项目: 中央高校基本科研业务费专项资金(3013-852020),国家自然科学基金(10932003,11272075,11301052,11301045),"863"(2009AA04Z101)和“973”国家重点基础研究发展规划(2010CB832700)资助项目.

详细信息

作者简介:
胡平,教授,主要研究方向:车辆工程,固体力学.E-mail:pinghu@dlut.edu.cn

中图分类号: O241.82
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出版历程
- 收稿日期: 2014-06-09
- 修回日期: 2014-07-21
- 刊出日期: 2014-11-18

QUADRILATERAL 4-NODE QUASI-CONFORMING PLANE ELEMENT WITH INTERNAL PARAMETERS

1 School of Automotive Engineering, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, China
2 Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China
3 State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China

Funds: The project was supported by the Fundamental Research Funds for the Central Universities (3013-852020), the Key Project of the NSFC (10932003, 11272075,11301052, 11301045), "863" Project of China (2009AA04Z101) and "973" National Basic Research Project of China (2010CB832700).

摘要

摘要: 在拟协调框架之下,利用新的内参形函数构造了一个四边形四节点拟协调平面单元. 新的内参位移函数也可以添加到等参单元Q4 中来构造新的内参型等参单元. 新构造的拟协调单元QC6N 具有显式刚度矩阵,因而效率更高. 数值例子表明相比于四节点等参单元,新构造的单元可以提高计算精度和抗网格畸变的能力.
- 拟协调 /
- 内参 /
- 平面单元
Abstract: A 4-node quadrilateral quasi-conforming plane element with internal parameters was proposed under the framework of quasi-conforming technique. New displacement functions with internal parameters can be added to the serendipity element Q4 to construct new isoparametric element. The explicit stiffness matrix of quasi-conforming element QC6N makes it more efficient. The numerical tests and comparisons with other 4-node isoparametric elements suggest that the present elements are more accuracy and less sensitive to the mesh distortion.
- quasi-conforming /
- internal parameters /
- plane element

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参考文献(16)

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