Geometric nonlinear analysis of asymmetric thin-walled beam-columns
Geometric nonlinear analysis of asymmetric thin-walled beam-columns
复制标题
非对称薄壁梁柱的几何非线性分析
DOI：
10.1016/0141-0296(87)90023-x
复制
发表时间：
1987
影响因子：
5.5
通讯作者：
S. Kitipornchai
中科院分区：
文献类型：
--
作者：
Siu;S. Kitipornchai
本文研究了非对称开口薄壁杆件结构的几何非线性分析。在能量控制方程中加入二阶非线性应变项，导出了薄壁单元的几何刚度矩阵。推导出的刚度矩阵被用来预测一些结构的分叉载荷。一个更新的拉格朗日公式，再加上数值弧长技术，被用来跟踪非线性的载荷-挠度路径的最大载荷。数值算例的荷载-挠度性能偏心加载和约束不等角度的梁柱。
The geometric nonlinear analysis of structures comprising members of asymmetric thin-walled open section is investigated. The geometric stiffness matrix for a thin-walled element is derived, incorporating second order nonlinear strain terms in the governing energy equations. The derived stiffness matrices are used to predict bifurcation loads of a number of structures. An updated Lagrangian formulation, coupled with the numerical arc-length technique, is employed to trace the non-linear load-deflection paths up to the maximum load. Numerical examples of the load-deflection behaviour of eccentrically loaded and restrained unequal angle beam-columns are presented.