Journal ArticleDOI
A refined finite element formulation for flexural and torsional buckling of beam-columns with finite rotations
Jian Xin Gu,Siu Lai Chan +1 more
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TLDR
In this article, a consistent formulation of a tangent stiffness matrix for the geometrically nonlinear analysis of the space beam-column elements allowing for axial-flexural, lateral-torsional and axial torsional buckling is presented.About:
This article is published in Engineering Structures.The article was published on 2005-04-01. It has received 25 citations till now. The article focuses on the topics: Stiffness matrix & Tangent stiffness matrix.read more
Citations
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Journal ArticleDOI
Unified formulation of geometrically nonlinear refined beam theories
Alfonso Pagani,Erasmo Carrera +1 more
TL;DR: By using the Carrera Unified Formulation (CUF) and a total Lagrangian approach, the unified theory of beams including geometrical nonlinearities is introduced in this article.
Journal ArticleDOI
The effects of warping constraints on the buckling of thin-walled structures
TL;DR: In this article, a direct one-dimensional beam model suitable for describing the buckling of thin-walled structures is presented. But the model is not suitable for the case of a two-bar Roorda frame.
Journal ArticleDOI
Improved line-element formulations for the stability analysis of arbitrarily-shaped open-section beam-columns
TL;DR: In this article, the axial buckling behavior of arbitrarily-shaped open-sections is modeled using beam-column line-element formulations, and detailed derivations are given and implemented within the educational software MASTAN2.
Journal ArticleDOI
Shape optimization of tapered I-beams with lateral-torsional buckling, deflection and stress constraints
Hakan Ozbasaran,Tolga Yilmaz +1 more
TL;DR: It is shown that tapering, and therefore the inflection point location may not have a significant effect on the material economy in certain conditions.
Journal ArticleDOI
A beam model for large displacement analysis of flexibly connected thin-walled beam-type structures
TL;DR: In this paper, a beam formulation for large displacement analysis of beam-type structures with flexible connections is presented, which is based on updated Lagrangian incremental formulation and the nonlinear displacement field of thin-walled cross-sections, which accounts for restrained warping and the second-order displacement terms due to large rotations.
References
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Journal ArticleDOI
Large displacement analysis of three‐dimensional beam structures
TL;DR: In this article, an updated Lagrangian and a total Lagrangians formulation of a three-dimensional beam element are presented for large displacement and large rotation analysis, and it is shown that the two formulations yield identical element stiffness matrices and nodal point force vectors.
Book
Principles of structural stability
TL;DR: In this paper, Nongyroscopic Conservative Systems, Dissipative Systems, Circulatory Systems, 6 Instationary Systems, and Dissipation Systems are described. But none of them are discussed in detail.
Journal ArticleDOI
A consistent co-rotational formulation for non-linear, three-dimensional, beam-elements
TL;DR: In this paper, a co-rotational formulation for three-dimensional beams is presented, in which both the internal force vector and tangent stiffness matrix are consistently derived from the adopted "strain measures".
Journal ArticleDOI
Finite element analysis of torsional and torsional–flexural stability problems
TL;DR: Structure of flexural members, analyzing torsional and lateral stability by finite element method and matrix formulation is presented in this article, where the authors propose a finite element-based matrix formulation.
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Shear-flexible models for spatial buckling of thin-walled curved beams
Atef F. Saleeb,A.S. Gendy +1 more