This paper presents a simplified methodology to take perforations in rack columns into account by means of a geometrically nonlinear Generalized Beam Theory (GBT) analysis. A new GBT formulation, which considers perforation effects through the addition of supplementary terms in the finite element internal force and tangent stiffness matrices during the member analysis, is developed and evaluated. The critical loads, ultimate elastic loads, equilibrium paths and displacement fields obtained by the GBT formulation with perforations are successfully compared using a shell finite element analysis for distortional and global dominant failure modes. Furthermore, the possibility to extend an equivalent thickness approach to handle rack columns perforations in a nonlinear buckling analysis is assessed. Finally, the influence of deformation modes and limitations of the presented GBT formulation are discussed.

本文提出了一种简化的方法，通过几何非线性广义梁理论 (GBT) 分析将机架柱中的穿孔考虑在内。开发并评估了一种新的 GBT 公式，该公式通过在有限元内力和切线刚度矩阵中添加补充项来考虑穿孔效应。使用壳有限元分析成功地比较了通过 GBT 公式获得的临界载荷、极限弹性载荷、平衡路径和位移场与穿孔。此外，还评估了扩展等效厚度方法以处理非线性屈曲分析中机架柱穿孔的可能性。最后，