含面内转角自由度的4结点平行四边形单元  

A four-nodded parallelogram finite element with in-plane rotational degree of freedom

作　　者：郭向荣[1] 邓永锋[1] 熊南京[1] 

机构地区：[1]中南大学土木建筑学院,湖南长沙410075

出　　处：《铁道学报》2001年第4期70-75,共6页Journal of the China Railway Society

基　　金：铁道部科技开发计划项目 (99G- 1 6)

摘　　要：首先利用 12结点等参数单元的形函数 ,求出含转角自由度的 4结点平行四边形膜元的形函数 ,由此推导含转角自由度的 4结点平行四边形膜元的单元刚度矩阵 ,其与一般的弯曲板单元组合后 ,形成了一种适用范围更广、收敛更快、精度更高及抗畸变能力更强的壳单元。在相同精度的情况下 ,使用本单元求解问题可以减少单元数量 ,降低结构总自由度数。该单元能直接与每个结点具有 6个自由度的空间梁柱单元相联结 ,能有效地解决工程实际问题 。In this paper, the shape function of four nodded parallelogram membrane element with in plane rotational degree of freedom was derived firstly by using the shape function of twelve nodded isoparametric element, thus the formulation of stiffness matrices of four nodded parallelogram membrane element was derived. When it combined with traditional slab bent element, a shell element is directed, which has more extensive accommodation, higher convergence rate, higher accuracy and less sensitivity to geometric distortion. Under the same requirements of precision, a problem can be solved with less number of elements and less degrees of freedom of the whole system by using the element. This element can be coupled directly with spacial beam and column elements which have six degrees of freedom with every joint, so an engineering problem can be solved effectively, especially suitable for some skew projects.

关 键 词：平行四边形单元 转角自由度 有限元 平板壳元 结构 单元位移模型 

分 类 号：TU339[建筑科学—结构工程]