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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。
The torsional spring and Kish-Chen three-parameter model are used to simulate the mechanical properties of the semi-rigid connection of beams and columns. The universal semirigid beam model with the zero-length rotating spring attached at both ends of the beam is adopted. According to the beam-column method, the equilibrium differential equation and the stability function are derived Considering the second-order effect, the stiffness equation of beam element and the element stiffness matrix of the semi-rigid effect of the node, a modified Newton-Raphson iteration method is used to calculate the second-order elastic stability of the planar steel frame. Finally, Influence of Semi - Rigid and Second - Order Beam Connections on Stability of Steel Frames.