The mechanical properties of semi-rigid connection were simulated by rotational spring and Kish-Chen three-parameter model. A common semi-rigid beam element model with zero-length rotational spring at both ends of the beam was used. Based on the beam-column method, with second-order effect and semi-rigid connection considered, the element stiffness equation and matrix were derived by differential equations and stability function. According to the modified Newton-Raphson iteration method, the calculation format of second-order elastic stability analysis for the steel frames was constituted. Finally, through the analysis of a typical steel frame, the impact of semi-rigid connection and second-order effect on the stability was studied.%应用转动弹簧及Kish-Chen三参数模型来模拟梁柱的半刚性连接的力学性能,采用梁两端附带零长度转动弹簧的通用半刚性连接梁单元模型,根据梁柱法通过平衡微分方程及稳定函数推导了考虑二阶效应、节点半刚性影响的梁单元刚度方程及单元刚度矩阵,应用修正的Newton-Raphson迭代法,建立了平面钢框架二阶弹性稳定分析的计算格式,最后通过典型算例分析了梁柱连接节点的半刚性及二阶效应对钢框架稳定性能的影响.
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