无剪切闭锁的厚薄通用板单元

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

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.