摘要
通过分析构件截面上应变与轴向力间的关系,以构件轴向应变为基本参数,提出了轴心受压开口薄壁构件的弹塑性屈曲荷载统一计算方法,给出了轴压构件的弯曲屈曲、扭转屈曲、弯扭屈曲等屈曲荷载的弦截法迭代格式,可应用于H形、T形、L形、十形截面等不同开口形式的轴压构件屈曲荷载计算,并可考虑具有残余应力的弹塑性本构关系。该方法以无残余应力的弹性屈曲荷载对应的轴向应变作为初始值,根据不同屈曲形式对应的非线性方程计算弦截区间点的函数值,进行弦截法迭代计算,得到弹塑性构件的临界轴向应变,进而获得屈曲荷载等信息。该方法采用的弦截法收敛速度快、计算量小、无需嵌套循环,可有效解决两端铰接轴心受压开口薄壁构件的弹塑性屈曲快速计算问题,便于工程应用。
An integrated method is presented for the thin-walled axial compression member with open cross-section to calculate the elasto-plastic buckling load based on the relationship between strain and axial compression. The method puts forward the secant iterative method of buckling load for the flexural buckling,torsion buckling and flexural torsional buckling,which can be applied to the axial compression member with different opening sections,such as the H-type,T-type,L-type,cross shape,etc. The residual stress and elasto-plastic constitutive relation are considered in buckling load calculation. In the method the axial strain corresponding to the elastic buckling load without residual stress is taken as the initial value,the values of interval points are calculated according to the nonlinear function for different buckling modes and then the buckling load and other data are obtained based on the secant iterative method.The secant method offers significant improvements in accuracy,robustness and calculation amount of the solution,which can effectively solve the buckling load of thin-walled axial compression elasto-plastic member.
出处
《建筑结构学报》
EI
CAS
CSCD
北大核心
2017年第5期143-148,共6页
Journal of Building Structures
关键词
轴心受压构件
开口薄壁构件
屈曲荷载
轴向应变
残余应力
弦截法
迭代法
axial compression member
open-sectional thin-walled member
buckling load
axial strain
residual stress
secant method
iterative method
