Prebuckling Deflections and Lateral Buckling. I: Theory
Prebuckling Deflections and Lateral Buckling. I: Theory
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DOI：
10.1061/(asce)0733-9445(1992)118:11(2949
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发表时间：
1992-11
期刊：
影响因子：
--
通讯作者：
Y. Pi;N. Trahair
中科院分区：
文献类型：
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作者：
Y. Pi;N. Trahair
当小轴抗弯刚度与主轴抗弯刚度之比较大时，由于未考虑预屈曲变形的影响，传统的分析可能导致梁和梁柱侧向屈曲载荷的不准确预测。导出了考虑预屈曲变形影响的单对称梁柱弹性侧向屈曲能量方程，并得到了屈曲微分平衡方程。从能量方程出发，提出了一种计算单对称梁柱侧向屈曲载荷的有限元算法，该算法考虑了预屈曲变形的影响。这包括由于屈曲前位移和轴向载荷引起的二阶矩的影响。提出了一种确定侧向屈曲载荷的迭代方法。在另一篇论文中给出的有限元结果表明，梁的侧向屈曲载荷和梁-冷的经典预测是正确的。
When the ratio of the minor axis flexural stiffness to the major axis flexural stiffness is large, classic analysis may lead to inaccurate predictions of the lateral buckling loads of beams and beam‐columns because the effects of prebuckling deformations are not considered. The energy equation for the elastic lateral buckling of monosymmetric beam‐columns that includes the effects of prebuckling deformations is derived, and the buckling differential equilibrium equations are obtained. A finite element algorithm for the prediction of the lateral buckling loads of monosymmetric beam‐columns that includes the effects of prebuckling deformations is developed from the energy equation. This includes the effects of second‐order moments due to the prebuckling displacements and the axial loads. An iterative procedure for determining the lateral buckling loads is recommended. The finite element results, given in a companion paper, show that the classic predictions of the lateral buckling loads of beams and beam‐col...