穿孔板局部屈曲载荷的计算研究

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2025-05-21 DOI:10.1016/j.tws.2025.113445

Elenor Naraidoo , Barbara Rossi

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引用次数: 0

摘要

薄壁梁和柱的腹板可以为美观、维护或结构目的而穿孔，从而影响受到压缩时的弹性屈曲行为。当保守地近似为简支板时，腹板可能表现出四种局部屈曲模式之一。这些模式可能相互作用，类似于在薄壁柱中观察到的整体、扭曲和局部屈曲的相互作用。考虑到这一点，定义了屈曲变形的五个子集，并据此开发了一种算法，根据几何极限确定相应的屈曲模式。这些模式包括：全板屈曲（WPB）、非加强条形屈曲（USB）、欧拉条形屈曲（ESB）、侧向射孔屈曲（LPB），或者这些模式的相互作用（INT）。针对每种模式，提出了临界弹性屈曲载荷的预测方程，并与有限元法确定的临界弹性屈曲载荷进行了比较。775个模型中，有限元计算得到的穿孔板弹性屈曲载荷与公式预测的平均比值为1.00，总体R2系数为0.840。最后，可靠性评估确定95%置信区间的统计模型因子γ。该系数适用于每个局部屈曲模式，对于所有具有任意数量穿孔的板，该系数为1.17，不表现出LPB。

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Local buckling load of a perforated plate – A computational study

The webs of thin-walled beams and columns can be perforated for aesthetic, maintenance or structural purposes, affecting the elastic buckling behaviour when subject to compression. When conservatively approximated as a simply-supported plate, the web may exhibit one of four local buckling modes. These modes may interact, akin to the interaction of global, distortional and local buckling observed in thin-walled columns. Accounting for this, five subsets of buckling deformation are defined and used to develop an algorithm, which determines the corresponding buckling mode depending on geometrical limits. These modes are Whole Plate Buckling (WPB), Unstiffened Strip Buckling (USB), Euler Strip Buckling (ESB), Lateral Perforation Buckling (LPB), or an interaction of these (INT). For each mode, a predicting equation for the critical elastic buckling load is proposed and compared to the critical elastic buckling load determined with the Finite Element Method (FEM). The mean ratio of the elastic buckling load for a perforated plate found with FEM to that predicted with the proposed formulae is 1.00 for 775 models, with an overall R² coefficient of 0.840. Finally, a reliability assessment determines a statistical model factor

γ

for a 95 % confidence interval. This factor is found for each local buckling mode, and proposed as 1.17 for all plates with any number of perforations, not exhibiting LPB.

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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.