Journal ArticleDOI
On the shear deformation modes in the framework of Generalized Beam Theory
TLDR
In this article, the authors extended previous work concerning the determination of cross-section deformation modes in thin-walled members with arbitrary polygonal cross-sections, in the framework of Generalized Beam Theory.Abstract:
This paper extends previous work concerning the determination of cross-section deformation modes in thin-walled members with arbitrary polygonal cross-section, in the framework of Generalized Beam Theory (Goncalves et al., 2010 [1] ). In particular, the paper addresses the so-called “natural shear deformation modes” (i.e. the deformation modes that involve non-null membrane shear strains and are independent of the cross-section discretization employed), which are relevant for capturing the behaviour of thin-walled members with complex multi-cell cross-sections undergoing torsion and/or distortion. The contributions of the paper are (i) the derivation of fundamental properties of the shear modes, (ii) the proposal of an efficient mode extraction procedure and (iii) the development of analytical results for several particular cases. In order to illustrate the application of the proposed mode extraction procedure and demonstrate the validity of the derived properties, several cross-sections are analyzed, including complex multi-cell tubes.read more
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Journal ArticleDOI
GBTul 2.0 − A second-generation code for the GBT-based buckling and vibration analysis of thin-walled members
TL;DR: The fundamentals and application and potential of the recent 2.0 release of the software G BTul are presented and the program capabilities and innovative aspects are addressed, and its application is illustrated by means of a few relevant numerical examples.
Journal ArticleDOI
A cross-section analysis procedure to rationalise and automate the performance of GBT-based structural analyses
TL;DR: In this article, the authors present a procedure to perform generalized beam theory (GBT) cross-section analysis, which is able to handle arbitrary (flat-walled) crosssection shapes and provides a rational set of deformation modes, which are hierarchically organized into several families, each with well-defined structural/mechanical characteristics.
Journal ArticleDOI
Deformation modes of thin-walled members: A comparison between the method of Generalized Eigenvectors and Generalized Beam Theory
Giovanni Garcea,Rodrigo Gonçalves,Antonio Bilotta,David Manta,Rui Bebiano,Leonardo Leonetti,Domenico Magisano,Dinar Camotim +7 more
TL;DR: In this article, two distinct approaches for obtaining the cross-section deformation modes of thin-walled members with deformable cross-sections, namely the method of Generalized Eigenvectors (GE) and the Generalized Beam Theory (GBT), are compared.
Journal ArticleDOI
On the mechanics of local-distortional interaction in thin-walled lipped channel beams
TL;DR: In this article, the elastic post-buckling behavior of simply supported thin-walled lipped channel beams undergoing local-distortional (L-D) interaction was investigated, and the results were obtained through elastic geometrically non-linear Generalised Beam Theory (GBT) analyses and provided the evolution, along given equilibrium paths, of the beam deformed configuration.
Journal ArticleDOI
GBT buckling analysis of generally loaded thin-walled members with arbitrary flat-walled cross-sections
TL;DR: In this paper, the authors extended the applicability of generalized beam theory (GBT) to perform elastic linear buckling analyses of thin-walled members, including those combining closed cells and open branches.
References
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Book
Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide
TL;DR: This book discusses iterative projection methods for solving Eigenproblems, and some of the techniques used to solve these problems came from the literature on Hermitian Eigenvalue.
Journal ArticleDOI
A new approach to the calculation of cross-section deformation modes in the framework of generalized beam theory
TL;DR: In this paper, a general approach for the calculation of cross-section deformation modes in thin-walled beams, to be used in the framework of generalized beam theory (GBT), is presented.
Latest developments in the gbt analysis of thin-walled steel structures
TL;DR: In this paper, the structural response of thin-walled steel members and frames is analyzed using Generalized Beam Theory (GBT) to assess the first-order behavior of steel-concrete composite bridge decks.
Journal ArticleDOI
GBT-based buckling analysis of thin-walled members with non-standard support conditions
TL;DR: In this paper, the use of a recently developed Generalized Beam Theory (GBT) formulation, and corresponding finite element implementation, is reported to analyse the local and global buckling behavior of thin-walled members with arbitrary loading and support conditions.