变刚度和带有收进的高层建筑弯扭耦联简化分析

A SIMPLIFIED ANALYSIS FOR THE COUPLING OF BENDING AND TORSION IN HIGH-RISE BUILDINGS WITH VARIABLE STIFFNESS AND SETBACKS

本文在文献[1]的基础上,利用广义杆件有限元(在各等刚度段之间)和解析法(在等刚度段内)联合应用来计算变刚度或带有阶梯状不对称收进的由核心筒、剪力墙和平面框架组成的复杂平面布置的三维空间协同工作体系的弯扭耦联问题。推导了单元刚度矩阵、等效结点荷载,并给出在等刚度段内三种典型荷载下的计算公式。算例表明,本法所用单元极少,计算工作量小、速度快,用微机即可解决复杂问题,并具有较好的计算精度,可供初步设计之用。

In this paper, based on reference[ 1 ], the generalized finite element meth od(for elements between the uniform stiffness segment),combined with the ana-lytic method (for elements in the uniform stiffness segment ) is employed tocalculate the coupling of bending and torsion in the three-dimensional spacecooperating system in high-rise buildings composed of core shafts. shear-wallsand planar- frames. The element stiffness matrix and the equivalent nodalloads are derived, and the formulas for calculating internal forces and disp-lacements under three typical loads are given. A numerical example is final-ly presented, which indicates that the generalized finite element method hasmany advantages, such as, less elements used, less calculating work andrather good accuracy.