一种简单有效的层合板壳单元

本文通过修正普通四边形单元的横向剪切应变能而得到了一种新的四边形四节点壳单元(本文称之为L_3单元)。该单元每个节点有五个自由度,适用于各向同性、正交异性和层合板壳的线性、非线性及稳定性有限元分析。文中给出了各种类型板壳结构的算例。数值结果表明,该单元不仅公式简单、自由度少,而且具有令人满意的精度和收敛特性。

A Simple and Effectual Element of Laminated Plates and Shells

The paper presents a new four-node quadrilateral shell element, called L3, which is based on the general four-node element with modification of transverse shear strain energy. The element, possessing five degrees of freedom per node, is suited for linear, nonlinear and nonlinear stability finite element analysis of isotropic, orthotropic and laminated plates and shells. Various numerical examples of laminated structures are given herein.The results illustrate the advantages of not only fewer degrees of freedoms and simple formulation, but also satisfactory accuracy and better convergence.