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  • 李秀梅,秦荣,袁新胜.框架-剪力墙结构分析的高精度平面矩形单元[J].广西科学,2007,14(3):261-264.    [点击复制]
  • LI Xiu-mei,QIN Rong,YUAN Xin-sheng.A High Precision Plane Rectangular Element of Frame-Shear Wall Structure Analysis[J].Guangxi Sciences,2007,14(3):261-264.   [点击复制]
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框架-剪力墙结构分析的高精度平面矩形单元
李秀梅1, 秦荣1, 袁新胜2
0
(1.广西大学土木建筑工程学院, 广西南宁 530004;2.广西大学基建处, 广西南宁 530004)
摘要:
从双线性矩形单元出发,通过广义协调条件和连续介质力学中关于旋转度概念,同时引入含两个内部参数的泡状位移场,推导出含转角自由度的平面矩形单元的形函数及单元刚度矩阵,并进行算例分析.结果表明,把带转角自由度的矩形平面单元用于框架-剪力墙结构分析,在不增加单元自由度的情况下大大改善了单元的性能,单元列式简单,保证收敛,可以自然地解决框架-剪力墙结构的连接问题,还能获得很高的精度,而且能为平板壳结构分析提供有效的膜元.
关键词:  矩形单元  框架-剪力墙结构  转角自由度  广义协调
DOI:
投稿时间:2007-01-17修订日期:2007-05-14
基金项目:国家自然科学基金项目(19872020);广西2004年度科学研究与技术开发计划项目(桂科攻0442001)资助
A High Precision Plane Rectangular Element of Frame-Shear Wall Structure Analysis
LI Xiu-mei1, QIN Rong1, YUAN Xin-sheng2
(1.College of Civil and Architecture Engineering, Guangxi University, Nanning, Guangxi, 530004, China;2.Basic Construction Office of Guangxi University, Nanning, Guangxi, 530004, China)
Abstract:
The element shape functions containing a plane rectangular element (GR12M) with rotational freedoms and stiffness matrix are developed based on the bilinear conforming displacement fields and the bubble displacement fields with internal parameters, according to the generalized conforming conditions and the rotation degree concepts of continuum mechanics.In the analysis of frame-shear wall, the plane rectangular element (GR12M) with rotational freedoms can greatly improve the performance of elements without increase of freedom degree of elements, with simplicity and convergence.The connection problem of analysis is solved at ease.A high precision membrane element can be offered to flat shell analysis.
Key words:  rectangle element  frame-shear wall  rotational degree of freedom  generalized conforming

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