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Inelastic large deflection modeling of beam-columns

机译:梁柱非弹性大挠度建模

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摘要

Linear structural analysis is incapable of reflecting the real behavior of a structure under abnormal or ultimate loading conditions. When deformations are large and a structure behaves nonlinearly, the stiffness of the structure changes even if the structural material shows a purely linear elastic behavior, and a geometric nonlinear analysis or a second-order elastic analysis should be performed. However, under severe environmental loading such as strong wind or earthquake, there is a need for a direct second-order inelastic analysis to calculate the ultimate strength capacity and to predict the true behavior of structures. This paper presents and compares two beam-column models, both based upon fiber-type, beam-column elements, for inelastic and large deformation analysis of planar steel structural systems. Derivations of the different stiffness matrices that are used in the new models are presented. Both models have the capacity to account for residual stress consideration. The new model satisfies the rigid-body test, while the second model does not. The accuracy of the two models is compared with benchmark problems via three examples. The results indicate that the new model is more robust and has a faster rate of convergence for problems involving inelastic behavior, high stress, and large deflections. References: 36
机译:线性结构分析无法反映结构在异常或极限荷载条件下的真实行为。当变形较大且结构表现为非线性时,即使结构材料表现出纯线弹性行为,结构的刚度也会发生变化,应进行几何非线性分析或二阶弹性分析。然而,在强风或地震等恶劣环境荷载下,需要直接进行二阶非弹性分析来计算极限强度容量并预测结构的真实行为。本文提出并比较了两种基于纤维型梁柱单元的梁柱模型,用于平面钢结构体系的非弹性和大变形分析。给出了新模型中使用的不同刚度矩阵的推导。两种模型都能够考虑残余应力。新型号满足刚体测试,而第二款型号则不满足。通过三个示例将两个模型的准确性与基准问题进行了比较。结果表明,新模型在非弹性行为、高应力和大挠度等问题中具有更强的鲁棒性和更快的收敛速度。[参考文献: 36]

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