Post-buckling analysis of thin-walled steel frames using generalised beam theory (GBT)

Author(s)

Basaglia, Cilmar ^[1] ; Camotim, Dinar ^[2] ; Silvestre, Nuno ^[2]

Affiliation

^[1] Univ Sao Paulo, Sao Carlos Sch Engn, Dept Struct Engn, BR-13566590 Sao Carlos, SP - Brazil

^[2] Univ Tecn Lisboa, Inst Super Tecn, ICIST, Dept Civil Engn & Architecture, P-1049001 Lisbon - Portugal

• Document type: Journal article
• Source: THIN-WALLED STRUCTURES; v. 62, p. 229-242, JAN 2013.
• Web of Science Citations: 28

Abstract

This paper presents the development and illustrates the application of a beam finite element based on the generalised beam theory (GBT) and intended to analyse the local, distortional and global post-buckling behaviour of thin-walled steel frames. After briefly reviewing the main concepts and procedures required to obtain the GBT system of non-linear equilibrium equations, the paper describes the steps involved in the numerical implementation (incremental-iterative strategy) of a non-linear beam finite element that incorporates the influence of the frame joint behaviour. Next, one uses evidence gathered from shell finite element simulations to establish kinematic constraint conditions ensuring displacement compatibility at frame joints connecting two non-aligned plain/lipped channel members. Finally, the application and capabilities of the proposed GBT-based beam finite element formulation are illustrated by presenting and discussing numerical results concerning the post-buckling behaviour of two ``L-shaped{''} frames and a symmetric portal frame. For validation purposes, most GBT-based results are compared with values yielded by beam and shell finite element analyses carried out in the code ANSYS. (C) 2012 Elsevier Ltd. All rights reserved. (AU)

• FAPESP's process: 11/17557-2 - New Developments and Applications of the Generalised Beam Theory for Metal Structures: Plasticity, Vibration and Software
• Grantee: Cilmar Donizeti Basaglia
• Support Opportunities: Scholarships in Brazil - Post-Doctoral