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有限元分析中三维体元和梁元的非节点连接
引用本文:王家林,陈山林,肖盛燮.有限元分析中三维体元和梁元的非节点连接[J].重庆交通大学学报(自然科学版),2006,25(2):28-30,48.
作者姓名:王家林  陈山林  肖盛燮
作者单位:1. 重庆大学,土木工程学院,重庆,400045;重庆交通学院,土木建筑学院,重庆,400074
2. 重庆大学,土木工程学院,重庆,400045
3. 重庆交通学院,土木建筑学院,重庆,400074
摘    要:在对三维体元任一点移动和转动分析的基础上,导出了体元和梁元恰当连接应满足的多点约束方程,通过直接代入梁元的单元分析进行自由度替换实现了体梁的良好连接.本文方法对体元和梁元的连接形式具有较强的适应能力,应用方便,算例表明具有较高的数值精度.

关 键 词:有限元  三维体元  梁元  多点约束方程
文章编号:1001-716X(2006)02-0028-03
修稿时间:2004年12月7日

Non-nodal connection of brick and beam elements in finite element analysis
WANG Jia-lin,CHEN Shan-lin,XIAO Sheng-xie.Non-nodal connection of brick and beam elements in finite element analysis[J].Journal of Chongqing Jiaotong University,2006,25(2):28-30,48.
Authors:WANG Jia-lin  CHEN Shan-lin  XIAO Sheng-xie
Abstract:A method is presented for connecting three-dimensional brick and beam elements.Based on the analysis of the displacement and rotation of an arbitrary point within a brick element,a series of multipoint constraint equations are raised to reflect the proper connections of brick and beam elements.The multipoint constraint equations are realized by their introduction into the beam element analysis process and the replacement of the beam element’s degrees of freedom with those of the brick element.This method suits a variety of connections between such two types of elements.A numerical example demonstrates the accuracy and feasibility of the method.
Keywords:finite element method  three-dimensional brick element  beam element  multipoint constraint equations
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