中文摘要：

假定核心筒的弯曲刚度与外排柱的轴向刚度在加强层处遵循相同的变化规律，忽略剪切变形与转动惯量的影响，同时认为加强层与外排柱铰接、与核心筒刚接，核心筒承担弯矩，外排柱内仅有轴力作用而不承受弯矩．在此基础上，运用结构动力学关于分布参数体系的振动理论，考虑核心筒和外排柱变刚度以及加强层弯曲变形的影响，对带有两道水平加强层的高层框架-核心筒结构进行了动力分析，编制了计算机算法程序．根据核心筒与外排柱刚度之比、核心筒与水平加强层刚度之比、核心筒和外排柱沿高度变化的刚度之比的不同取值，得出了该体系前3阶自振频率与加强层位置的关系，为合理设计加强层提供了参考．

英文摘要：

This paper was based on the following assumptions for structural analysis： the sectional properties of the core and columns changed in ladder-like at the outrigger location, and the changes were the same; shear deformation and moment of inertia were neglected; the outriggers were rigidly attached to the core and pin connected with the columns, only bending deformation was considered for the core and only axial forces were induced in the columns. The free vibration frequency of the structures with two outriggers was analyzed. And according to the different values of the stiffness ratio of core-column, the stiffness ratio of core-outrigger, and the stiffness ratio of tube and columns, the relation between the location of the outrigger and the free vibration frequency were inferred through a computer program. The equal-parameter distribution theory of the structural dynamics was used, and the influences of the core wall and the column with changing stiffness and outrigger flexure were considered. The results have given some reference for rational outrigger designing.