First-order GBT for tapered regular convex polygonal tubes

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2024-11-26 DOI:10.1016/j.tws.2024.112735

Rodrigo Gonçalves

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引用次数: 0

Abstract

This paper presents an accurate and efficient first-order Generalized Beam Theory (GBT) for linearly tapered regular convex polygonal tubes, such as those widely employed in the construction industry. Even though tapered members require a significantly involved formulation, it is shown that it is possible to enforce the standard GBT assumptions exactly, without additional simplifications, a key aspect that (i) is essential for the accuracy and computational performance of the formulation and (ii) allows identifying the deformed configurations pertaining to inextensible deformation. Consequently, very accurate solutions are achieved even for complex cases, such as tubes with a high taper angle and undergoing localized deformation. The GBT deformation modes for the prismatic case are directly used, meaning that the proposed approach for tapered tubes does not require a specific GBT cross-section analysis procedure. All expressions are presented in a straightforward vector–matrix format, for implementation purposes. The excellent performance of the resulting displacement-based beam finite element and the advantages of the GBT modal decomposition features are highlighted through several numerical examples, where results obtained with refined shell finite element models are used for comparison purposes.

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锥形正则凸多边形管的一阶GBT

本文提出了一种精确有效的一阶广义梁理论（GBT），适用于建筑行业中广泛使用的线性锥形规则凸多边形管。尽管锥形构件需要一个非常复杂的公式，但研究表明，在没有额外简化的情况下，可以准确地执行标准GBT假设，这是一个关键方面，(i)对公式的准确性和计算性能至关重要，（ii）允许识别与不可扩展变形有关的变形配置。因此，即使对于复杂的情况，例如具有高锥度角和经历局部变形的管，也可以获得非常精确的解决方案。直接使用棱柱体情况下的GBT变形模式，这意味着锥形管的建议方法不需要特定的GBT截面分析程序。为了实现目的，所有表达式都以直接的向量矩阵格式呈现。通过几个数值算例，突出了基于位移的梁有限元的优异性能和GBT模态分解特征的优势，其中使用精细化壳有限元模型获得的结果用于比较目的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.