（1 同济大学建筑工程系  上海  200092； 2 汕头大学土木工程系  515063）|
［提要］推导了考虑连接柔性和几何非线性的局部坐标下的单元刚度矩阵，并对半刚性连接单元的固端力进行了修正；采用增量加载法中的修正NewtonRaphson法，给出了考虑连接柔性、框架的几何非线性和单元内力与连接之间耦合效应的半刚性钢框架结构分析计算机流程。采用Frye和Morris的奇次方多项式模型来模拟连接的Ｍ-θ曲线。最后根据算例对有侧移和无侧移半刚性钢框架的性能做了初步的探讨，结果表明：1）半刚性连接会明显加大有侧移钢框架的侧向位移和结构的二阶效应；2）半刚接对梁柱的轴力和剪力影响都不大，但对梁柱的弯矩影响则较大，半刚性连接会减小无侧移钢框架的柱脚弯矩而增大有侧移钢框架的柱脚弯矩，但无论是无侧移还是有侧移钢框架，半刚性连接都会增大梁的跨中弯矩；3)当连接转动刚度Rk在10×１０8～10×１０11(N·mm/rad，以下同)之间时，连接呈现出较为明显的半刚性特性，而当Rk<10×１０8或Rk>10×１０11时，连接的半刚性特性并不明显，可直接将其看作铰接或刚接以简化计算。
［关键词］ 半刚性 钢框架 单元刚度矩阵 二阶效应 转动刚度
Analysis and Behaviour Research of Connections of  Semi rigid Steel Frame/
Huang Jizhuo1， Wang Zhan2， Ma Renle1(1 Department of Building Engineering, Tongji University,Shanghai  200092,China; 2 Department of Civil Engineering，Shantou University, Shantou  515063,China)
Abstract:Element stiffness matrix in local coordinate system is derived, which takes the effects of the flexibility of the connections and the geometric nonlinearity of the members into account, and then fixedend forces with semirigid connections are modified. A computerbased procedure with incremental loading method is presented for the analysis of semirigid steel frames, which accounts for the effects of the nonlinear behaviour of the connections and P-Δ as well as the coupling effect of element forces and connections. The Frye and Morris polynomial model is adopted for modeling the semirigid connections. Frames with and without displacements are presented to demonstrate the validity and effectiveness of the analysis procedure for semirigid steel frames, and to reveal the internal law of semirigid steel frames comparing with fullyrigid or ideallypinned steel frames.Semirigid connections will increase the lateral drifts of steel frames distinctly and magnify the P-Δ effect.Semirigid connections have little effect on memberend axial and shear forces, but have considerable influence on memberend moments. Connections with rotational stiffness ranging from 10×108 to 10×1011(N·mm/rad) exhibit the obvious semirigid behaviour, and it is suitable and convenient for calculation to treat connections with rotational stiffness out of the above range as fullyrigid or ideallypinned connections.
Keywords:semirigid;steel frame;element stiffness matrix;secondorder effect;rotational stiffness