| 内参型四边形四节点拟协调平面单元 |
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| 引用本文： | 王长生,齐朝晖,张向奎,胡平.内参型四边形四节点拟协调平面单元[J].力学学报,2014,46(6):971-976. |
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| 作者姓名： | 王长生 齐朝晖 张向奎 胡平 |
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| 作者单位： | 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 |
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| 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);“973”国家重点基础研究发展规划(2010CB832700)资助项目~~ |
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| 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.
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| 关 键 词： | 拟协调 内参 平面单元 |
| 收稿时间： | 2014-06-09 |
QUADRILATERAL 4-NODE QUASI-CONFORMING PLANE ELEMENT WITH INTERNAL PARAMETERS |
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| Institution: | 1 School of Automotive Engineering, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, China2 Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China3 State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China |
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| 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. |
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