薄壁空间钢结构的非线性分析

Nonlinear Analysis of Thin-walled Spatial Steel Structures

在有限元空间梁元模型的基础上 ,导出了考虑杆件约束扭转的薄壁梁元分析力学模型 .该模型的弹性刚度矩阵为 14× 14矩阵 ,几何刚度矩阵中考虑了轴力、剪力、双向弯矩和双力矩效应 .采用单元的有限分割法考虑了塑性沿杆件长度和截面的发展 ,实现了薄壁空间钢结构的弹塑性非线性分析 .数值算例的比较一方面验证了分析力学模型的正确性 。

Based on the space beam element analytical model,a new thin-walled beam element model considering the restrained torsion was derived in this paper.The elastic stiffness matrix of this new model is 14×14.The effect of axial force,shearing force,biaxial bending moment and bimoment was involved in the geometrical stiffn ess matrix of element.The yielding developments both across the section and alon g the axis of the member were taken into consideration by the finite-cut of ele ment,and the elasto-plastic analysis of thin-walled spatial steel structures w as achieved.Numerical examples prove the correctness of the analysis model of t his paper,and show the characteristics of warping restraint torsion of thin-wal led spatial structures.