中文摘要：

在剪切梁理论的基础上，采用9节点平面单元模拟梁任意截面形状；采用27节点体单元，模拟截面出平面外的二次翘曲位移，从而建立了空间复合材料任意截面薄壁梁考虑二次翘曲的有限元分析模型。根据本文中导出的复合材料有限元模型编制了相应的分析计算程序。算例表明：本文中建立的复合材料薄壁梁模型正确，可以用于考虑多种耦合影响因素作用下复杂结构空间薄壁复合材料梁的有限元分析计算。

英文摘要：

Based on the shear flexible theory, a finite element model was developed to take into account the quadratic warping effect of arbitrary cross-sections of spatial thin-walled composite beams, taking the 9-node plane element to simulate an arbitrary beam cross-section and the 27-node solid element to simulate the quadratic out-of-plane warping displacement. According to the model obtained in this paper, the interrelated spatial composite beams calculating program was written out. The numerical examples show that the analytical model derived in the paper is correct, which can be used in the analysis of complex spatial thin-walled composite beams under several coupling loads.