具有旋转自由度的广义协调三角形扁壳元  

Generalizied conforming triangular shallow shell element with vertex rigid rotational freedoms

作　　者：孙建恒[1] 夏亨熹[1] 

机构地区：[1]河北农业大学城乡建设学院,河北保定071001

出　　处：《河北农业大学学报》2002年第4期137-142,157,共7页Journal of Hebei Agricultural University

基　　金：河北省自然科学基金资助项目 ( 196 138)

摘　　要：根据修正的扁壳胡海昌———鹫津原理 ,利用广义协议三角形薄板弯曲单元TGC - 9的位移模式作为法向位移函数 ,以及具有旋转自由度的广义协调三角形膜单元GT9的位移模式作为壳单元的切向位移 ,分别假设膜应变为一次及二次函数 ,推导了两种具有旋转自由度的广义协调三角形扁壳元。通过对双曲抛物面壳、双曲扁壳及扁球壳的数值分析 。Based on the modified Hu-Washizu principle for thin shell, two type generalized conforming curved triangular shell elements are presented with the linear and square membrane strain distribution respectively . In the derivation of the stiffness matrix of the shell element, the displacement functions of the generalized conforming plate bending element TGC-9 and the membrane element with vertex rigid roationation freedoms are used to serve as the normal and tangential displacements of the shell elements respectively. Numerical analysis are carried out for the hyperbolic paraboloidal shell, hyperboloidal shell and shallow spherical to test the accuracy and convergence of the elements.

关 键 词：广义协调三角形扁壳元 旋转自由度 位移函数 切向位移 

分 类 号：TU33[建筑科学—结构工程]