薄壁梁的单元刚度矩阵及其应用

Elemental Stiffness Matrix of Thin-walled Beam and Its Application

按文[1]所述截面正投影绕定轴转动的概念,直接导出薄壁梁的单元刚度矩阵,并利用直接刚度法求解弯心不共线的连续梁。算例表明,它和用柔度矩阵按力法求解的结果是相同的,但计算过程更简单。

In this paper, according to the conception of rotation of the section orthographic projection around a fixed axis, the element stiffness matrix of thin-walled beam is directly deduced and the direct stiffness method is used to solve the continuous beam problem with different shear centers on one section. It is suggested through an example that when the element flexibility matrix and force method are used to solve the same question, the same answer will be gained, but the method used in this paper is simpler.