A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Locking-free finite elements for shear deformable orthotropic thin-walled beams
Numerical models for finite element analyses of assemblages of thin-walled open-section profiles are presented. The assumed kinematical model is based on Timoshenko-Reissner theory so as to take shear strain effects of non-uniform bending and torsion into account. Hence, strain elastic-energy coupling terms arise between bending in the two principal planes and between bending and torsion. The adopted model holds for both isotropic and orthotropic beams. Several displacement interpolation fields are compared with the available numerical examples. In particular, some shape functions are obtained from 'modified' Hermitian polynomials that produce a locking-free Timoshenko beam element. Analogously, numerical interpolation for torsional rotation and cross-section warping are proposed resorting to one Hermitian and six Lagrangian formulation. Analyses of beams with mono-symmetric and non-symmetric cross-sections are performed to verify convergence rate and accuracy of the proposed formulations, especially in the presence of coupling terms due to shear deformations, pointing out the decay length of end effects. Profiles made of both isotropic and fibre-reinforced plastic materials are considered. The presented beam models are compared with results given by plate-shell models.
Locking-free finite elements for shear deformable orthotropic thin-walled beams
Numerical models for finite element analyses of assemblages of thin-walled open-section profiles are presented. The assumed kinematical model is based on Timoshenko-Reissner theory so as to take shear strain effects of non-uniform bending and torsion into account. Hence, strain elastic-energy coupling terms arise between bending in the two principal planes and between bending and torsion. The adopted model holds for both isotropic and orthotropic beams. Several displacement interpolation fields are compared with the available numerical examples. In particular, some shape functions are obtained from 'modified' Hermitian polynomials that produce a locking-free Timoshenko beam element. Analogously, numerical interpolation for torsional rotation and cross-section warping are proposed resorting to one Hermitian and six Lagrangian formulation. Analyses of beams with mono-symmetric and non-symmetric cross-sections are performed to verify convergence rate and accuracy of the proposed formulations, especially in the presence of coupling terms due to shear deformations, pointing out the decay length of end effects. Profiles made of both isotropic and fibre-reinforced plastic materials are considered. The presented beam models are compared with results given by plate-shell models.
Locking-free finite elements for shear deformable orthotropic thin-walled beams
Blockierungsfreie finite Elemente für scherverformbare, orthotrope, dünnwandige Träger
Minghini, F. (author) / Tullini, N. (author) / Laudiero, F. (author)
International Journal for Numerical Methods in Engineering ; 72 ; 808-834
2007
27 Seiten, 17 Bilder, 6 Tabellen, 41 Quellen
Article (Journal)
English
Finite element formulation for shear deformable thin-walled beams
| Online Contents | 2011
Finite element formulation for shear deformable thin-walled beams
| British Library Online Contents | 2011
Shear Coefficient in Orthotropic Thin-Walled Composite Beams
| British Library Online Contents | 1998
Shear Coefficient in Orthotropic Thin-Walled Composite Beams
| Online Contents | 1998
Shear Coefficient in Orthotropic Thin-Walled Composite Beams
| Online Contents | 1998