高层建筑空间协同分析的连续──离散化方法

Continuum-Discretization Method for Analyzing a Space Cooperating System in Tall Buildings

本文将连续化方法与矩阵位移法相结合。在楼板刚性假定下，提出了适用于变刚度高层建筑结构空间协同分析的新方法，即先将楼板连续化处理后。将整个结构视为一个广义空间薄壁剪──弯悬臂梁，然后再用矩阵位移法进行分析。文中导出了广义空间薄壁剪──弯梁的单元刚度矩阵，并附有算例。用本文的方法分析由芯筒、剪力墙和平面框架构成的平面布置复杂、刚度沿竖向变化的高层建筑结构空间协同工作体系，计算简便、合理。

In this paper, by combining the continuum method with the matrix displacement method, a new method suitable for analyzing space cooperating system in tall buildings with variable stiffness is presented. The method is based on an assumption of infinite stiffness in floor-planes and of infinite flexibility in the planes, ie. after treatment of the floor system with the continuum technique, the whole structure is thought of as a generalized space thinwall shear-bending contilever and is then analyzed by the matrix displacement method. At the same time,the element stiffness matrix of the above beam is derived, and a numerical example is also given. The method can apply to a space cooperating system (including core-wall, shear-wall and frames) in tall buildings with complicated plane and variable stiffness.