A new approach to the calculation of cross-section deformation modes in the framework of generalized beam theory

DOI10.1007/s00466-010-0512-2zbMath1398.74188OpenAlexW2001585454MaRDI QIDQ1959741

Rodrigo Gonçalves, Manuel Ritto-Corrêa, Dinar Camotim

Publication date: 7 October 2010

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-010-0512-2

zbMATH Keywords

thin-walled memberscross-section deformation modesgeneralized beam theory (GBT)

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Bifurcation and buckling (74G60)

Related Items (8)

An unconstrained dynamic approach for the generalised beam theory ⋮ GBT pre-buckling and buckling analyses of thin-walled members under axial and transverse loads ⋮ A one-dimensional higher-order theory with cubic distortional modes for static and dynamic analyses of thin-walled structures with rectangular hollow sections ⋮ A complete dynamic approach to the Generalized Beam Theory cross-section analysis including extension and shear modes ⋮ Extension of non-linear beam models with deformable cross sections ⋮ Incorporation of wall finite relative rotations in a geometrically exact thin-walled beam element ⋮ A geometrically exact beam finite element for curved thin-walled bars with deformable cross-section ⋮ One-dimensional analysis of thin-walled beams with diaphragms and its application to optimization for stiffness reinforcement

Cites Work

• A large displacement and finite rotation thin-walled beam formulation including cross-section deformation
• GBT-based semi-analytical solutions for the plastic bifurcation of thin-walled members
• Buckminster fuller's tensegrity structures and Clerk Maxwell's rules for the construction of stiff frames
• GBT-BASED BUCKLING ANALYSIS OF THIN- WALLED STEEL FRAMES WITH ARBITRARY LOADING AND SUPPORT CONDITIONS
• Eine energetische Variante der Theorie des Kriechens und der Langzeitfestigkeit für isotrope Werkstoffe mit komplizierten Eigenschaften

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