10-17-2010, 10:37 AM
Article: Global buckling analysis of plane and space thin-walled frames in the context of GBT
Thin-Walled StructuresVolume 46, Issue 1, January 2008, Pages 79-101
Abstract
This paper reports research work concerning the use of Generalised Beam Theory (GBT) to analyse the global buckling behaviour of
plane and space thin-walled frames. Following a brief overview of the main concepts and procedures involved in the performance of a
GBT buckling analysis, one presents in detail the formulation and numerical implementation of a GBT-based beam finite element that
includes only the first four (rigid-body) deformation modes—namely, one describes (i) the kinematical models developed to simulate the
warping transmission at frame joints connecting two or more non-aligned U- and I-section members, (ii) the procedures adopted to
handle the effects stemming from the non-coincidence of the member centroidal and shear centre axes (cross-sections without double
symmetry), and (iii) the definition of joint elements, which involves providing a relation between the connected member GBT degrees of
freedom and the joint generalised displacements. Finally, one presents and discusses numerical results that make it possible to illustrate
the application and show the capabilities of the above GBT-based finite-element formulation and implementation. For validation
purposes, the GBT-based results (critical buckling loads and mode shapes) are also compared with values yielded by shell (mostly) and
beam finite element analyses carried out in the code ANSYS.
Code:
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