考虑剪滞剪切效应的复合材料薄壁箱型梁梁单元

A BEAM ELEMENT FOR FRP THIN-WALL BOX BEAMS CONSIDERING BOTH SHEAR LAG AND SHEAR DEFORMATION

运用层合板理论,用最小势能原理和能量变分法建立了复合材料箱型梁梁单元的控制微分方程,给出了初参数解,导出了考虑剪切和剪力滞效应的单元刚度矩阵和等效节点荷载矩阵,还推导出了每层的应力,并编制出了有限元分析程序。运用该程序对复合材料箱型简支梁和连续梁进行了算例分析,从算例分析的结果与理论分析、实验结果和ANSYS软件的计算结果的比较,可以看出该梁单元有限元方法是正确可靠的。

In this paper, the differential equations of FRP thin-walled box beams are established based on the principle of minimum potential energy. Both shear lag and shear deformation are taken into account and the pertaining element stiffness matrix and equivalent nodal force vector are given. A finite element program is developed and some numerical examples are studied. Good agreement is reached between the present predictions and other available results including those of computer code ANSYS. It is demonstrated that the proposed element is effective and reliable.