Jankowski Jacek, Kotełko Maria, Ungureanu Viorel
Faculty of Mechanical Engineering, Łódź University of Technology, 90-537 Łódź, Poland.
Department of Steel Structures and Structural Mechanics, Civil Engineering Faculty, Politehnica University Timisoara, 300224 Timisoara, Romania.
Materials (Basel). 2024 Jun 12;17(12):2874. doi: 10.3390/ma17122874.
The paper presents a static analysis of the buckling and post-buckling state of thin-walled cold-formed steel (TWCFS) lipped channel section beam-columns subjected to eccentric compression. Eccentricity is taken into consideration relative to both major and minor principal axes. An analytical-numerical solution to the buckling and post-buckling problems is described. The solution is based on the theory of thin plates. Equations of equilibrium of section walls are derived from the principle of stationary energy. Then, to solve the problem, the finite difference (FDM) and Newton-Raphson methods are applied. Linear (buckling) and nonlinear (post-buckling) analyses are performed. As a result, pre- and post-buckling equilibrium paths are determined. Comparisons of the obtained numerical results, FE simulation results, and experimental test results are carried out and presented in comparative load-shortening diagrams. Additionally, a comparison of the buckling forces and buckling modes obtained from theoretical analysis and experiments is presented.
本文对承受偏心压缩的薄壁冷弯型钢(TWCFS)卷边槽钢截面梁柱的屈曲和后屈曲状态进行了静力分析。考虑了相对于主轴和次轴的偏心距。描述了屈曲和后屈曲问题的解析数值解。该解基于薄板理论。截面壁的平衡方程由能量驻值原理导出。然后,为解决该问题,应用了有限差分法(FDM)和牛顿-拉夫逊方法。进行了线性(屈曲)和非线性(后屈曲)分析。结果,确定了屈曲前和屈曲后的平衡路径。在比较荷载-缩短图中对所得数值结果、有限元模拟结果和试验测试结果进行了比较。此外,还给出了理论分析和试验得到的屈曲力和屈曲模式的比较。