用广义协调方法推导的平面四节点等参单元

陈晓明; 李云贵

doi:10.6052/j.issn.1000-4750.2017.09.0706

用广义协调方法推导的平面四节点等参单元

中国建筑技术中心, 北京 101300

详细信息

作者简介:
李云贵(1962-),男,辽宁人,研究员,博士,中国建筑技术中心副主任,主要从事BIM及结构分析研究(E-mail:liyungui@china.com).

通讯作者:
陈晓明(1973-),男,山东人,教授级高工,博士,中国建筑技术中心仿真分析室主任,主要从事有限元方法与结构抗震分析研究(E-mail:chenxiaoming@cscec.com).

中图分类号: TU311.4
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出版历程
- 收稿日期: 2017-09-12
- 修回日期: 2017-12-20
- 刊出日期: 2018-12-28

A 4-NODE ISOPARAMETRIC ELEMENT FORMULATED WITH GENERALIZED CONFORMING CONDITIONS

China State Construction Technical Center, Beijing 101300, China

摘要

摘要: 对平面四节点Q4单元采用优选的广义协调条件进行推导，将广义协调理论的应用拓展到最基本的平面问题单元。基于Q6以及QM6中基于内部参数的二次附加位移场，在Q4单元基础上增加满足广义协调条件的内参位移场，从而构造了一个满足广义协调条件的平面四节点等参元GQM6。数值算例表明，虽然采用了相同次数的位移场，但GQM6单元中采用的广义协调条件较QM6中采用的数值积分方法，可以进一步放松单元边界的约束，从而使单元的性能进一步提高，尤其在抗网格畸变能力方面。研究表明，将广义协调理论与一些传统单元进行深入融合仍然有着重要价值。
- 有限元 /
- 广义协调 /
- 等参元 /
- 内部参数 /
- 网格畸变
Abstract: By using optimized generalized conforming conditions to formulate the plane 4-node element Q4, it is proved that the generalized conforming theory can be expanded to the most fundamental isoparametric elements. Based on the second-order additional displacement field of Q6 and QM6, a new form of additional displacement field was overlaid on Q4 to develop a new element GQM6, which is still second-order and formulated with generalized conforming theory. The numerical results show that the generalized conforming conditions can present more relaxed constraints at element sides than numerical integrals used in QM6, thus the new element GQM6 can exhibit better properties especially on the resistances of mesh distortion. The research shows that it i's still valuable to combine the generalized conforming theory with those traditional finite elements deeply.
- finite element method /
- generalized conforming /
- isoparametric element /
- internal parameters /
- mesh distortion

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参考文献(20)

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文章访问数: 443
HTML全文浏览量: 41
PDF下载量: 122
被引次数: 8

用广义协调方法推导的平面四节点等参单元

作者简介: 李云贵(1962-),男,辽宁人,研究员,博士,中国建筑技术中心副主任,主要从事BIM及结构分析研究(E-mail:liyungui@china.com).

通讯作者: 陈晓明(1973-),男,山东人,教授级高工,博士,中国建筑技术中心仿真分析室主任,主要从事有限元方法与结构抗震分析研究(E-mail:chenxiaoming@cscec.com).

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出版历程

A 4-NODE ISOPARAMETRIC ELEMENT FORMULATED WITH GENERALIZED CONFORMING CONDITIONS

期刊类型引用(3)

其他类型引用(5)

计量

出版历程

目录

作者简介:
李云贵(1962-),男,辽宁人,研究员,博士,中国建筑技术中心副主任,主要从事BIM及结构分析研究(E-mail:liyungui@china.com).

通讯作者:
陈晓明(1973-),男,山东人,教授级高工,博士,中国建筑技术中心仿真分析室主任,主要从事有限元方法与结构抗震分析研究(E-mail:chenxiaoming@cscec.com).