变截面高层筒体结构的有限元线法整体稳定和二阶分析
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摘要
本文用有限元线法对变截面的高层简体结构进行空间整体稳定和二阶分析。先把实际框筒结构分段连续化为正交各向异性折板结构；用有限元线法，通过有限条元半离散化，取结线上位移为基本未知函数，由势能驻值原理建立稳定和二阶分析的常微分方程组；由常微分方程求解器直接求解。
In this paper,overall stability and second-order analyses of tall building tubular struc-tures with stepped cross-sections by use of the Finite Element Method of Lines(FEMOL)are presented.The framed tubes are firstly replaced by equivalent orthotropic continua.Then the continuum models are analyzed by applying FEMOL,in which the nodal displace-ments are taken as primary unknown functions. The Minimum Potential Energy Principlesare used to set up the Ordinary Differential Equtations(ODE)of overall stability and sec-ond-order analyses.The ODEs are directly solved by ODE Solver,which is a general pur-pose program developed for solving various ODE,Then the stability critical loads and thesecond-order displacement and internal forces can be obtained.
In this paper,overall stability and second-order analyses of tall building tubular struc-tures with stepped cross-sections by use of the Finite Element Method of Lines(FEMOL)are presented.The framed tubes are firstly replaced by equivalent orthotropic continua.Then the continuum models are analyzed by applying FEMOL,in which the nodal displace-ments are taken as primary unknown functions. The Minimum Potential Energy Principlesare used to set up the Ordinary Differential Equtations(ODE)of overall stability and sec-ond-order analyses.The ODEs are directly solved by ODE Solver,which is a general pur-pose program developed for solving various ODE,Then the stability critical loads and thesecond-order displacement and internal forces can be obtained.
引文
1刘滨，包世华．高层筒体结构的整体稳定及二阶位移分析．建筑结构学报，1990，（1）2袁驷．一种新的半解析法──有限元线法，第一届全国解析与数值结合法学术讨论会论文集，湖南，1990年5月。3包世华．高层建筑结构计算．北京：高等教育出版社，19914杨茂森．高层建筑结构有限无线法分析：［硕士学位论文］．北京：清华大学，19935易升创．高层筒体结构有限元线法分析：［硕士学位论文］．北京：清华大学，19946袁驷．介绍一个常微分方程边值问题求解通用程序──COLSYS．计算结构力学及其应用，1990，7（2）：104～1057袁驷，张亿果．常微分方程特征值问题的求解器解法，地震工程与工程振动，1993，13（2）
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