12自由度4结点高精度矩形单元  

A HIGH PRECISE RECTANGULAR ELEMENT WITH 4 NODES AND 12 DOF

作　　者：史文海[1,2] 李正农[1] 黄斌[3] 

机构地区：[1]建筑安全与节能教育部重点实验室(湖南大学),长沙410082 [2]温州大学建筑与土木工程学院,温州325035 [3]武汉理工大学土木工程与建筑学院,武汉430070

出　　处：《工程力学》2010年第9期22-26,共5页Engineering Mechanics

基　　金：国家自然科学基金重大研究计划项目(90815030);国家自然科学基金项目(50778072);浙江省教育厅项目(Y200803519)

摘　　要：研究了一种用来对包含梁柱和板单元的线弹性结构进行静力或动力分析的平面矩形单元。该矩形单元的每个结点含有3个自由度,其平面内转动自由度可使板单元与梁单元在结点的位移完全协调,从而使该单元能被方便地应用于包含板单元的框架填充墙或剪力墙等结构的建模中,且仅用非常少的该单元进行结构分析就能获得高精度的结果。该文通过3个算例论证了该单元处理结构静力和动力问题时的简便和高精度性,算例结果也表明该单元非常适用于框架填充墙或剪力墙等结构的分析。A rectangular element formulation for the static and dynamic analysis of linear-elastic space structures composed of plate and beam-type members is presented in this study. The element considered in the present study has three degrees of freedom （DOF） at each node and an in-plane rotational DOF, which makes it compatible with two-dimensional （2D） beam-type element models. Then the element can be used with facility for the modeling of infilled frame and shear wall with the connections of slab components or 2D beam components. The rectangular element considered here yields highly accurate results with a very small number of elements. The effectiveness and simplifications of the presented rectangular element is demonstrated by three static and dynamic structural analysis examples. The results also show that the presented element be of high facility in solving stress problem of complex structures （such as infilled wall structures and shear wall structures）.

关 键 词：有限元 矩形单元 位移函数 动力特性 框架填充墙 

分 类 号：O241.82[理学—计算数学]