平面刚架二阶内力分析的矩阵位移法

Analysis of the second order internal force of plane rigid frames by the matrix displacement method

文章针对弹性压杆变形后的状态和压杆的轴力效应建立压杆的平衡微分方程,由此研究压杆的物理关系;采用矩阵位移法建立结构的刚度方程,并将其写成迭代形式进行二阶内力的分析;在算例中将所得到的结果和一阶理论进行了比较,得到了一些有益的结论。

In this paper, the differential equilibrium equations are established in the deflected state and the axial force effect on the deflected state is considered, and the physical relations are discussed. The matrix displacement method is used to establish the structural stiffness equations and the equations are written in the form of iteration in order to analyze the second order internal force. The results of the example in this paper are compared with that in the case of the first order internal force, and some useful conclusions are gotten.