高层筒体结构的整体稳定及二阶位移分析

Overall stability and second-order displacement analysis of tall building tubular structures

高层建筑结构的整体稳定及非线性分析在结构设计中具有重要意义。该文用转换B3样条函数模拟结构板壁横截面的翘曲位移,通过势能变分原理,导出微分方程组,利用样条有限杆元法对高层建筑筒体结构的整体稳定及二阶位移进行了求解。求解中考虑了结构板壁中面剪切变形的影响,能描述剪力滞后现象。该方法适用于任意横截面形状的高层建筑筒体结构及剪力墙结构等的稳定及二阶位移分析。与其他方法相比,该方法有前期数据准备简单、计算量小、收敛快、精度高等特点。

The overall stability of tall building structures is a classical nonlinear analysis problem in structural design. This paper presents a method to predict the overall stability and secondorder displacement of tall buildings using the spline finite member element method. A transformed spline function B3 was used to simulate the warping displacements along the cross section. The displacement variational principle was used to derive the equations for the stability and secondorder displacement. The method takes into account the shear lag effect and is applicable to the overall stability and secondorder displacement of tall building structures and shearwall structures with arbitrary cross sections. The method provides improved accuracy with less computational work than previous methods. 