考虑剪切变形影响的L形柱单元刚度矩阵

Element Stiffness Matrix for L-shaped Columns Considering Shear Deformation Effects

摘要:

通过分析等肢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，并自编了L形截面柱框架结构内力分析的有限元程序。最后通过某三层框架结构算例，将自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。

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. Final calculated a 3-layer frame structure and compared to ANSYS calculation results and the calculation results of equivalent rectangular column the following conclusions was drew. Shear deformation of the L-shaped column is greatly different from that of equivalent rectangular column; whether to consider the effects of reverse or not has great influence on the torque of L-shaped column.