高层建筑三维空间协同工作体系弯扭耦联简化分析

Simplified Analysis of the Behaviour of a Three--dimensional Space Cooperating System Subject to Lateral and Torsional Load in Tall Buildings

本文将楼板连续化处理以后,采用通常假定,把由芯筒、剪力墙和平面框架组成的复杂平面市置的三维空间协同工作体系简化为一个具有弹性支承的广义悬臂的弯扭耦联问题。建立了相应的微分方程,得到弯扭耦联的闭合解;推导了三种典型荷载作用下的计算公式。本文方法仅需利用微机或个人电脑,就能解决复杂问题,具有计算工作量小、速度快等优点,并有相当好的精度,可供初步设计之用。

In this paper, using a continuum technique of floors, a three-dimensional space cooperating system of core-walls, shear-walls and frames, which has complicated plane form, has been simplified to a flexi-twist coupling problem of generalized contilever on elastic foundations. The correspondlng flexi-twist coupling differential equations are derived and closed solutions of these equations are developed. The formulas corresponding to three classical lateral loads are given. A numerical example is eventually shown. The presented method can resolve a complicated problem by personaI computer or by band-calcutator easily, and has many advantages of less work, faster speed and higher accuracy of calculating. An effective method has been presented for preliminary design.