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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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.