Abstract
This paper presents a geometrically nonlinear beam finite element that captures non-uniform torsion and flexuraltorsional coupling of shear deformable thin-walled beams with an open unsymmetrical cross-section. The beam model is based on the generalized strain beam formulation. In this formulation, a set of independent deformation modes is defined as generalized strains in a co-rotational frame which are related to dual stress resultants using Timoshenko-Reissner’s beam formulation. Cross-sectional warping is accounted for by a single warping function. Geometric nonlinearities are accounted for by additional second order terms in the expressions for the deformation modes. Some benchmark examples illustrate the accuracy of the new beam element.
| Original language | English |
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| Title of host publication | ECCOMAS Thematic Conference on Multibody Dynamics |
| Subtitle of host publication | Prague, June 19-22, 2017: conference proceedings |
| Editors | Michael Valasek, Zbynek Sika, Tomas Vampola |
| Pages | 141-162 |
| Number of pages | 22 |
| ISBN (Electronic) | 978-80-01-6174-9 |
| Publication status | Published - 8 Dec 2017 |
| Event | Multibody Dynamics 2017: 8th ECCOMAS Thematic Conference - Czech Technical University, Prague, Czech Republic Duration: 19 Jun 2017 → 22 Jun 2017 Conference number: 8 http://multibody2017.cz/ |
Conference
| Conference | Multibody Dynamics 2017 |
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| Country/Territory | Czech Republic |
| City | Prague |
| Period | 19/06/17 → 22/06/17 |
| Internet address |
Keywords
- Beam element
- Deformationmodes
- Shear deformable
- Thin-walled beam
- Warping
- Geometrically nonlinear