钢框架受风与地震作用的统一非线性矩阵分析理论

A Unified Matrix Method for Nonlinear Analysis of Steel Frames Subjected to Wind or Earthquakes

提出的矩阵化的二阶弹塑性分析理论，易于程序化，可用于受水平风或地震作用的钢框架的响应计算，文中首先概述了用于钢框架分析的各类单元刚度方程．提出的梁－柱单元刚度矩阵可用统一的方法考虑几何非线性、材料非线性和单元剪切变形的影响．其次，建立了连有节点域的扩展柱单元及带有连接和节点域的混合梁单元的刚度方程，可以考虑节点域剪切变形和梁－柱连接柔性的影响．节点区单元、混合梁单元和扩展柱单元刚度矩阵方程可方便地用于具有非线性柔性连接和可变形节点域的钢框架的几何和材料非线性变形状态分析．最后，用几个数值算例验证本文所述理论方法的准确性和有效性．

An efficient second-order elaste-plastic analysis method is presented in matrix forms suitable for computer program calculating response of steel frames subjected to horizontal wind or earthquakes. First, the stiffness matrix equations of various kinds of elements for analysis of a steel frame are outlined. The proposed stiffness matrixes for beam-column elements can be considered the effects of geometric nonlinearity, material nonlinearity and shear deformation of the elements in a unified way. Next, the stiffness equations of the extended column elements attached with panels and the hybrid beam element attached with connections and panels are established to consider with the effects of shear deformation fo f panels and flexibility of beam-to-column connections. With the stiffness matrix equations of panel elements, hybrid beam elements and extended column elements, the geometric and material nonlinear behavior of steel frames with nonlinear flexible connections and deformable panels can be easily analysed. Finally, two numerical examples are given to demonstrate the robustness, accuracy and efficiency of the proposed method.