高层筒体结构整体稳定及二阶位移分析的改进条元法  

Improved finite strip method of overall stability and second-order displacement analysis on tall tubular structures

作　　者：陆铁坚[1] 余志武[1] 李芳[1] 

机构地区：[1]中南大学土木建筑学院,湖南长沙410075

出　　处：《计算力学学报》2006年第1期29-33,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(50478092);国家自然科学基金重点(50438020)资助项目

摘　　要：根据柱壳理论,构造了一种柱壳曲条,本文结合柱壳曲条和平壳条元求解高层筒体结构的整体稳定及二阶位移。采用三次H erm ite插值函数模拟条元横截面的翘曲位移变化,能较好地反映筒体受力“剪切滞后”效应;采用一族能较好地逼近弯剪型变形曲线的正交多项式作基函数来描述位移沿竖向变化。用最小势能原理建立稳定及二阶位移分析方程。该方法适用于任意平面形状的高层建筑筒体结构及剪力墙结构的稳定及二阶位移分析。与其它方法相比,该方法具有精度高、通用性强、计算量小等优点。According to the theory of column shells, a column shell curvilinear strip was constructed. This paper combines the column shell curvilinear strip with the slab plate strip to analyse the overall stability and second-order displacement of tall tubular structures. The cubic Hermite interpolation function was used to simulate the warping displacement variations along the cross section, this function takes into account the shear lag effect of tall tubular structures. The orthogonal polynomials approximated to shear-moment deformation curves were employed as the basic function to describe the displacement variation along the vertical. The Minimum Potential Energy Principle is used to set up the equations of stability and second-order displacement analysis. This method is applicable to the overall stability and second-order displacement of tall building structures and shear^wall structures with arbitrary cross sections. This method provides improved accuracy with less computational work than previous methods.

关 键 词：高层建筑筒体结构 有限条元法 柱壳曲条 稳定及二阶分析 

分 类 号：TU973.17[建筑科学—结构工程]