以作者前面对开口薄壁梁单元的研究为基础，基于Timoshenko梁理论和Benscoter闭口薄壁杆件理论，建立了具有内部结点自由度的空间闭口薄壁梁单元模型，考虑了弯曲和扭转的耦合作用、横向剪切变形以及翘曲剪应力等因素的影响。通过编制相应的有限元程序，对自由端受横向集中荷载和扭矩作用的悬臂梁进行数值分析，并将计算结果与已有的理论解和有限元解进行对比验证。结果表明所建立的闭口梁单元具有很好的计算精度，求得的位移场与理论解和ANSYS的壳单元解基本一致。%Based on the Timoshenko＇s beam theory and Benseoter＇s thin-walled member theory, a new elastic beam element with closed thin-walled cross section is proposed by extending authors＇ previous research on the open thin-walled beam element. Effects of the flexureal-torsional coupling, shear deformation and warping shear stress are all included in the new elastic beam element model. According to the finite element program from the proposed beam model, a cantilever under transverse loading and torsion is studied. The results are compared with analytical solutions and ANSYS solutions to validate the present element model. Comparisons indicate that the proposed element is accurate and the derived displacement field agrees well with solutions of relevant theories and those of ANSYS.
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