摘要
本文在非线性空间梁元力学模型的基础上 ,考虑薄壁杆件约束扭转的影响 ,利用虚功原理导出了薄壁梁元几何非线性刚度矩阵。其中几何刚度矩阵由轴向力、双向弯曲和截面翘曲的影响组成。根据本文导出的分析模型编制了相应的结构分析程序。算例表明 ,本文导出的薄壁梁元几何非线性分析模型能较好地反映出薄壁构件的受力特点 ,可用于薄壁杆件组成的结构的非线性分析。
Based on nonlinear analytical model of the space beam element, considering the effect of restrained torsion of thin-walled element, a kind of geometric nonlinear stiffness matrix of thin-walled beam element is derived. The geometric stiffness matrix is composed by the effect of axial force, bending moment and bimoment. According to the analytical model obtained in this paper, the interrelated structural calculating program is worked out. The numerical example shows that the analytical model derived in this paper can reflect the characteristic of the thin-walled element and can be used in the nonlinear analysis of thin-walled beam structures.
出处
《空间结构》
CSCD
2002年第3期35-40,34,共7页
Spatial Structures
关键词
薄壁梁元
几何非线性
力学模型
thin-walled beam element
geometric non-linearity
analytical model
