应力杂交元在剪力墙分析中的应用研究
- 摘 要
-
（北京市建筑设计研究院有限公司， 北京 100045）［摘要］剪力墙是建筑结构中的重要受力构件，其计算精度对分析设计结果有着极其重要的影响。目前，既考虑平面内刚度又考虑平面外刚度的壳元已成为剪力墙的主流分析算法，但这些壳元仍以位移元为主导，其应力计算精度相对较低。对剪力墙的分析采用了一种新型壳元，该壳元的平面内膜元部分采用应力杂交元实现，即将单元内部应力和边界位移同时作为基本未知量进行求解。数值试验表明，该单元在多数情况下可显著提高剪力墙的应力计算精度，从而改善相关构件的工程设计质量。［关键词］剪力墙; 壳元; 应力杂交元; 有限单元法中图分类号：TU311.41，TU375 文献标识码：A 文章编号：1002-848X(2014)20-0064-04Research on analysis of shear wall using hybrid stress elementWu Yunpeng, Guo Feng, Wang Wei, Miao Qisong(Beijing Institute of Architectural Design, Beijing 100045, China)Abstract: Shear wall is a very important mechanical member in building structure and the calculation accuracy of shear wall affects a lot on the analysis and design results. The shell element considering both in-plane and out-plane stiffness is currently popular analysis algorithm of shear wall. However, the shell element based on displacement has low stress accuracy. A new type of shell element was proposed in the analysis of shear wall. The in-plane stiffness is realized by hybrid stress element, i.e. the stress and boundary displacement of the element were both basic unknowns. Numerical experiment shows that the stress accuracy of shear wall increases significantly in most cases with the new type of shell element, which improves the engineering design quality.Keywords:shear wall; shell element; hybrid stress element; finite element method作者简介：武云鹏，博士，高级工程师，Email：wuyunpeng@tsinghua.org.cn。参考文献［1］ALLMAN D J. A compatible triangular element including vertex rotations for plane elasticity analysis［J］. Computers & Structures, 1984, 19(1-2): 1-8.［2］MACNEAL R H, HARDER R L. A refined fournoded membrane element with rotational degrees of freedom［J］. Computers & Structures, 1988, 28(1): 75-84.［3］LONG Y Q, XU Y. Generalized conforming quadrilateral membrane element with vertex rigid rotational freedom［J］. Computers & Structures, 1994, 52(4): 749-755.［4］LONG Y Q, XU Y. Generalized conforming triangular membrane element with vertex rigid rotational freedom［J］. Finite Elements in Analysis and Design, 1994, 17(4): 259-271.［5］GEYER S, GREONWOLD A A. Two hybrid stress membrane finite element families with drilling rotations［J］. International Journal for Numerical Methods in Engineering, 2002, 53(3): 583-601.［6］IRWAN KATILI. A new discrete Kirchhoff-mindlin element based on mindlin-reissner plate theory and assumed shear strain fields-part Ⅰ: an extended DKT element for thick-plate bending analysis［J］. International Journal for Numerical Methods in Engineering, 1993,［7］IRWAN KATILI. A new discrete Kirchhoff-mindlin element based on mindlin-reissner plate theory and assumed shear strain fields-part Ⅱ: an extended DKQ element for thick-plate bending analysis［J］. International Journal for Numerical Methods in Engineering, 1993, 36(11):［8］岑松，龙志飞. 对转角场和剪应变场进行合理插值的厚板元［J］.工程力学，1998，15(3)：［9］岑松，龙志飞，龙驭球.对转角场和剪应变场进行合理插值的厚薄板通用四边形元［J］.工程力学，1999，16(4)：1-15.［10］岑松，周明珏，傅向荣，等.一种对网格凹凸畸变不敏感的高应力精度4节点带旋转
