考虑剪切变形影响的L形柱单元刚度矩阵

Stiffness Matrix for Lshaped Columns Considering Shear Deformation Effects

摘要:

分析等肢L形截面柱的受力性能,在非惯性轴坐标系下,建立了考虑剪切变形及形心与剪切中心不重合影响下的L形截面柱单元刚度矩阵,并编写了L形截面柱框架结构内力分析的有限元程序.通过某三层框架结构算例,将所编程序的计算结果与ANSYS软件分析结果及采用异形柱刚度等效的计算结果进行了比较,得出L形柱的剪切变形与等效矩形柱的剪切变形差异较大及考虑扭转效应对L形柱的扭矩影响较大的结论.

关键词:L形截面柱; 抗侧移刚度; 剪切变形;单元刚度矩阵

Abstract:

In noninertial coordinate system,the Lshaped columns element stiffness matrix was derived from the study of loadbearing capacity of the Lshaped columns considering shear deformation effects.Using the matrix,a finite element program of Lshaped column frame structure internal forces analysis was compiled.A 3layer frame structure was calculated and a comparative study is made of the ANSYS calculation results and the calculation results of equivalent rectangular columns.Conclusions are drawn that shear deformation of the Lshaped column is greatly different from that of equivalent rectangular column;the torque of Lshaped column is influenced greatly whether considering the effects of reverse or not.

Key words:Lshaped columns; lateral stiffness; shear deformation; element stiffness matrix