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处理梁单元端部自由度释放的附加自由度法
引用本文:王忠全,张其林,康澜.处理梁单元端部自由度释放的附加自由度法[J].重庆大学学报(自然科学版),2011,34(2):125-129.
作者姓名:王忠全  张其林  康澜
作者单位:同济大学土木工程学院;中交四航工程研究院有限公司水工构造物耐久性技术交通行业重点实验室;
基金项目:上海市科委科研项目(08dz0580303)
摘    要:采用附加自由度的方法来处理梁单元的端部释放,为单元端部释放的处理提供了一种新的方法。根据具有附加自由度梁单元的应变矩阵,得到了扩充后的梁单元刚度矩阵,并推导出单元自由度沿整体坐标系释放或沿单元局部坐标系释放两种情况统一的刚度矩阵转换公式。针对两节点的梁单元采用UL列式,进行了非线性有限元分析,并编制了相应的分析计算程序。用此程序分析了具有自由度释放的梁单元模拟大位移大转动的性能,并与现有方法进行了比较。算例结果表明,附加自由度方法具有精度高,操作简便的优势。

关 键 词:附加自由度  梁端部释放  非线性有限元  数值分析  
收稿时间:2010/9/27 0:00:00

Beam element end release by extra degree of freedom method
WANG Zhong-quan,ZHANG Qi-lin and KANG Lan.Beam element end release by extra degree of freedom method[J].Journal of Chongqing University(Natural Science Edition),2011,34(2):125-129.
Authors:WANG Zhong-quan  ZHANG Qi-lin and KANG Lan
Institution:WANG Zhong-quan1,ZHANG Qi-lin1,KANG Lan2(1.College of Civil Engineering,Tongji University,Shanghai 200092,P.R.China,2.Key Laboratory of Durability Technology for Harbor and Marine Structure Ministry of Communications,Engineering Technology Research Co,LTD.of CCCC Fourth Harbor Engineering Co,Ltd.,Guangzhou 510230,Guangdong,P.R.China)
Abstract:This paper develops a new method of extra degree of freedom(extra DOF) for the beam element with end release.Based on the strain matrix with extra DOFs,it derives the stiffness transformation matrix of released element,which can be applied to situations along global coordinate system or element local coordinate system.The effects of end release processing method for beams with large displacement are analyzed,and the results compared with those from other existing methods show that the extra DOF processing m...
Keywords:extra degree of freedom  frame end release  nonlinear finite element method  numerical analysis  
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