TY - JOUR
T1 - A cross-section analysis procedure to rationalise and automate the performance of GBT-based structural analyses
AU - Bebiano, R.
AU - Gonçalves, R.
AU - Camotim, D.
N1 - Sem PDF.
FCT (PTDC/ECM/108146/2008)
PY - 2015
Y1 - 2015
N2 - When analysing the structural behaviour of a thin-walled member by means of Generalised Beam Theory (GBT) - a one-dimensional folded-plate theory expressing the member deformed configuration as a linear combination of cross-section deformation modes with amplitudes varying along its length - the performance of the so-called "cross-section analysis" is the key step. Indeed, it consists of determining the deformation modes and evaluating the corresponding modal mechanical properties. However, the available procedures to perform this task are strongly dependent on the cross-section geometry type, a feature precluding its general, efficient and systematic numerical implementation. In order to overcome this difficulty, this paper presents the development and illustrates the application of a novel procedure to perform "GBT cross-section analyses" that (i) is able to handle arbitrary (flat-walled) cross-section shapes, (ii) can be numerically implemented in a systematic and straightforward fashion, and (iii) provides a rational set of deformation modes, which are hierarchically organised into several families, each with well-defined structural/mechanical characteristics. Both the analytical derivations and the underlying mechanical reasoning are explained in detail, and the selected illustrative examples cover the various types of relevant cross-section geometries.
AB - When analysing the structural behaviour of a thin-walled member by means of Generalised Beam Theory (GBT) - a one-dimensional folded-plate theory expressing the member deformed configuration as a linear combination of cross-section deformation modes with amplitudes varying along its length - the performance of the so-called "cross-section analysis" is the key step. Indeed, it consists of determining the deformation modes and evaluating the corresponding modal mechanical properties. However, the available procedures to perform this task are strongly dependent on the cross-section geometry type, a feature precluding its general, efficient and systematic numerical implementation. In order to overcome this difficulty, this paper presents the development and illustrates the application of a novel procedure to perform "GBT cross-section analyses" that (i) is able to handle arbitrary (flat-walled) cross-section shapes, (ii) can be numerically implemented in a systematic and straightforward fashion, and (iii) provides a rational set of deformation modes, which are hierarchically organised into several families, each with well-defined structural/mechanical characteristics. Both the analytical derivations and the underlying mechanical reasoning are explained in detail, and the selected illustrative examples cover the various types of relevant cross-section geometries.
KW - Arbitrary cross-section geometry
KW - Cross-section analysis
KW - Deformation mode mechanical nature
KW - Generalised Beam Theory (GBT)
KW - Thin-walled member analysis
UR - http://www.scopus.com/inward/record.url?scp=84925009452&partnerID=8YFLogxK
U2 - 10.1016/j.tws.2015.02.017
DO - 10.1016/j.tws.2015.02.017
M3 - Article
AN - SCOPUS:84925009452
VL - 92
SP - 29
EP - 47
JO - Thin-Walled Structures
JF - Thin-Walled Structures
SN - 0263-8231
ER -