无剪切闭锁的厚薄通用板单元  

A generalized lock-free conforming element for thick/thin plates

作　　者：陈朝晖[1] 郭益[1] 李正良[1] 

机构地区：[1]重庆大学土木工程学院,重庆400045

出　　处：《岩土工程学报》2008年第4期487-491,共5页Chinese Journal of Geotechnical Engineering

基　　金：国家教委高校博士点基金资助项目(9562001);国家科技部技术创新基金(01C6215)

摘　　要：基于广义协调理论构建了一个具有12个自由度的四边形厚薄板通用单元,利用虚位移原理,将Winkler弹性地基的转动支承作用引入单元刚度矩阵,得到考虑地基转动支撑作用的板单元。算例表明,由于考虑了转动支承作用,所构建的板单元精度高,收敛性好,无剪切闭锁,具有厚薄板通用性。According to the generalized conforming theory, a universal quadrilateral element with 12 degrees of freedom, for both thin and thick plates, was constructed. Based on the virtual work theory, the stiffness matrices of elements were built by introducing the rotational supporting of the Winkler＇s elastic foundation to the plates. It was shown that the proposed thick/thin plate elements were free of shear locking for the thin plates. The efficiency and accuracy of computation with the proposed element were also proved.

关 键 词：广义协调元 厚薄板通用板 剪切闭锁 WINKLER地基 

分 类 号：TU375.2[建筑科学—结构工程]