A simple but accurate FEM for lateral-torsional buckling loads of mono-symmetric thin-walled beams considering pre-buckling effects

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL Thin-Walled Structures Pub Date : 2024-11-07 DOI:10.1016/j.tws.2024.112676

Fengping Zhang, Moon-Young Kim

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Abstract

This study intends to present a simple but accurate FE buckling analysis procedure in order to determine lateral-torsional buckling (LTB) loads of mono-symmetric steel beams considering pre-buckling effects. For this, a nonlinear co-rotational FEM for lateral-torsional post-buckling of a thin-walled beam system with non-symmetric cross sections is summarized in which all displacement parameters are defined at centroid. After that, an iterative LTB analysis method is newly proposed with consideration of in-plane deformations due to external loads. Through numerical examples, it is demonstrated that buckling solutions by this method are very well matched with those by lateral post-buckling analysis of the steel beam with lateral imperfections. Finally, numerical results on LTB of simple/cantilever beams under conservative moments, simple beams under gradient moments, simple beams under eccentric compression, a cantilever beam with an un-symmetric channel section, and a cantilever right-angle frame with I-section are presented using conventional LTB, iterative LTB, and post-buckling analysis methods.

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考虑预屈曲效应的单对称薄壁梁侧扭屈曲荷载的简单而精确的有限元分析

本研究旨在提出一种简单而准确的有限元屈曲分析方法，以确定考虑预屈曲效应的单对称钢梁的侧向扭转屈曲（LTB）载荷。为此，总结了非对称截面薄壁梁系侧向扭转后屈曲非线性共转有限元分析方法，其中所有位移参数均在质心处定义。在此基础上，提出了一种考虑外载荷引起的面内变形的迭代LTB分析方法。数值算例表明，该方法与带横向缺陷的钢梁横向后屈曲分析结果吻合较好。最后，采用常规LTB、迭代LTB和后屈曲分析方法，给出了保守弯矩作用下简/悬臂梁、梯度弯矩作用下简梁、偏心受压作用下简梁、非对称截面悬臂梁和工字截面悬臂直角框架的LTB数值计算结果。

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来源期刊

Thin-Walled Structures 工程技术-工程：土木

CiteScore

9.60

自引率

20.30%

发文量

801

审稿时长

66 days

期刊介绍： Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.