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Buckling analysis of thin-walled sections under localised loading using the semi-analytical finite strip method

机译:局部荷载作用下薄壁截面屈曲的半解析有限条分析

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Thin-walled sections under localised loading may lead to web crippling of the sections. This paper develops the Semi-Analytical Finite Strip Method (SAFSM) for thin-walled sections subject to localised loading to investigate web crippling phenomena. The method is benchmarked against analytical solutions, Finite Element Method (FEM) solutions, as well as Spline Finite Strip Method (SFSM) solutions. The paper summarises the SAFSM theory then applies it to the buckling of plates, and channel sections under localised loading. Multiple series terms in the longitudinal direction are used to compute the pre-buckling stresses in the plates and sections, and to perform the buckling analyses using these stresses. Solution convergence with increasing numbers of series terms is provided in the paper. The more localised the loading and buckling mode, the more series terms are required for accurate solutions. The loading cases of Interior One Flange (IOF) and Interior Two Flange (ITF) are investigated in this paper using simply supported boundary conditions.
机译:局部载荷作用下的薄壁截面可能会导致截面的腹板瘫痪。本文针对受局部载荷作用的薄壁截面,开发了半解析有限条法(SAFSM),以研究腹板的皱缩现象。该方法以分析解决方案,有限元方法(FEM)解决方案以及样条有限条方法(SFSM)解决方案为基准。本文总结了SAFSM理论,然后将其应用于板的屈曲以及局部荷载作用下的通道截面。使用纵向上的多个系列项来计算板和截面中的预屈曲应力,并使用这些应力进行屈曲分析。本文提供了随着序列项数量增加而导致的解决方案收敛。加载和屈曲模式越本地化,就需要更多的序列项才能获得精确的解决方案。本文利用简单支持的边界条件研究了内部一法兰(IOF)和内部二法兰(ITF)的载荷情况。

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