工字形截面楔形梁的侧向屈曲:新理论

针对工字形截面楔形梁的侧向屈曲提出了一个全新的理论。在工字形截面楔形梁的分析中首先采用线性分析,其中梁的两个翼缘和腹板的变形能力根据薄壁构件的基本假定决定。随后,基于屈曲分析的经典变分原理,提出该梁侧向屈曲分析中的总势能。利用该理论计算出楔形悬臂梁和工字形简支梁的侧向屈曲荷载,并将其与分别采用2个壳单元和2个梁单元建模的有限元分析结果对比。这2个梁单元模型分别代表了利用柱状梁单元和典型楔形梁理论的等效方法。对比显示:按照新提议的方法计算出来的总势能要比按以往方法计算出来的数值更精确,这表示新提议的理论要优于以往的理论。同时发现,利用柱状梁的等效法来计算楔形梁的屈曲荷载可能会得出不可靠的结果。

Lateral Buckling of Web-Tapered I-Beams:A New Theory

This paper presents a new theory for the lateral buckling of web-tapered I-beams. Linear analysis is first conducted by taking account into the tapering effects of web-tapered I-beams, where the deformation compatibilities of the two flanges and web are considered in terms of the basic assumptions of thin-walled members. Subsequently, the total potential for the lateral buckling analysis of web-tapered I-beams is developed, based on the classical variational principle for buckling analysis. The lateral buck...