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 -