高层筒体结构的二阶分析

SECOND-ORDER ANALYSIS OF TALL BUILDING TUBULAR STRUCTURES

本文用有限元线法（ＦＥＭＯＬ）对高层筒体结构进行二阶分析。采用连续化方法将实际框筒结构等效为正交各向异性折板结构，用有限元线法进行单元分析并集成，用最小势能原理建立二阶分析的四阶常微分方程组，调用高质高效的常微分方程求解器ＣＯＬＳＹＳ求解。

In this paper, second-order analysis of tall building tubular structures by use of the Finite Element Method of Lines (FEMOL) is presented. The framed tubes are firsfly replaced by equivalent orthotropic continua. Then the equivalent continua is analyzed by applying FEMOL in which the nodal displacements are taken as primary unknown functions.The Minimum Potential Energy Principle is used to set up the Ordinary Differential Equations (ODE) of second-order analysis. The ODEs are directly treated by ODE Solver, which is a general purpose program developed for solving various ODE. Then the second-order displacement and internal forces are obtained.