高层建筑结构扭转耦联振动自振特性的超元法

Super element method for characteristic of modal-frequency behavior analysis of tall building considering torsional coupling vibration

提出了高层建筑结构扭转耦联振动自振特性简化计算的超元法,将纵横向各片抗侧力结构简化处理成一根等效柱,空间协同分析时,采用超元法(每个单元由多根杆组成)计算等效柱的侧移刚度矩阵,即得各片抗侧力结构的侧移刚度矩阵,从而组集整个结构的侧移刚度矩阵和扭转刚度矩阵,然后,代入扭转耦联无阻尼自由振动方程,用现有数值分析方法可方便求出结构的自振特性。该法自由度成数倍减少,不论是框架、框—剪结构,还是剪力墙结构,计算侧移刚度矩阵具有统一算式,计算简便。

This paper presents the super element method for calculating natural characteristic of tall building considering torsional coupling vibration.The laterally loaded structures are thought of as equivalent columns.When performed space cooperating analysis,this method is applied to calculate lateral stiffness matrix.After every lateral stiffness matrix is obtained,the lateral and torsional stiffness matrix of the whole system is assembled.Substituted into the free vibration equation of undamped system,the natural characteristic can be solved by the present numerical method.The degree of freedom can be greatly decreased.In addition,the lateral stiffness matrix has the unified formula for the frame,frame-shear wall structure as well as shear wall structure.The method is simper in calculation and programming.