| 平面4节点广义等参单元 |
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| 引用本文： | 张洪武,刘辉,吴敬凯,郑勇刚. 平面4节点广义等参单元[J]. 计算力学学报, 2010, 27(3): 397-402 |
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| 作者姓名： | 张洪武 刘辉 吴敬凯 郑勇刚 |
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| 作者单位： | 大连理工大学,工业装备结构分析国家重点实验室,运载工程与力学学部、工程力学系,大连,116024 |
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| 基金项目： | 国家自然科学基金，长江学者和创新团队发展计划项目，国家基础性发展规划项目 |
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| 摘 要： | 在文献[1]建立的广义平面矩形单元的基础上,建立了平面4节点广义等参单元,并进行了深入研究,包括分片试验、单元的变形模态以及形函数的影响等.通过典型算例,对单元的性能进行了检验,数值结果表明,常规情况下建立的广义等参单元较传统单元具有更高的计算精度.
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| 关 键 词： | 广义等参单元 刚度阵 形函数 |
| 收稿时间： | 2009-11-27 |
Plane 4 node generalized isoparametric element |
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| ZHANG Hong-wu,LIU Hui,WU Jing-kai and ZHENG Yong-gang. Plane 4 node generalized isoparametric element[J]. Chinese Journal of Computational Mechanics, 2010, 27(3): 397-402 |
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| Authors: | ZHANG Hong-wu LIU Hui WU Jing-kai ZHENG Yong-gang |
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| Affiliation: | Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, China;Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, China;Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, China;Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | Based on the generalized rectangular element constructed in our previous work[1], a plane 4 node generalized isoparametric element is developed. The patch test, deformation model of the element and influence of the shape functions, etc, are studied in more details. Typical numerical examples are given to test the basic properties of the element and the results show that generally the new element has more accuracy than the conventional element. |
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| Keywords: | generalized isoparametric element stiffness matrix shape function |
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