BEAM ELEMENT UNDER FINITE ROTATIONS
dc.contributor.author | La Malfa Ribolla, Emma | |
dc.contributor.author | Jirásek, Milan | |
dc.contributor.author | Horák, Martin | |
dc.date.accessioned | 2023-02-01T15:14:09Z | |
dc.date.available | 2023-02-01T15:14:09Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Acta Polytechnica. 2021, vol. 30, no. , p. 87-92. | |
dc.identifier.issn | 1210-2709 (print) | |
dc.identifier.issn | 1805-2363 (online) | |
dc.identifier.uri | http://hdl.handle.net/10467/106523 | |
dc.description.abstract | The present work focuses on the 2-D formulation of a nonlinear beam model for slender structures that can exhibit large rotations of the cross sections while remaining in the small-strain regime. Bernoulli-Euler hypothesis that plane sections remain plane and perpendicular to the deformed beam centerline is combined with a linear elastic stress-strain law. The formulation is based on the integrated form of equilibrium equations and leads to a set of three first-order differential equations for the displacements and rotation, which are numerically integrated using a special version of the shooting method. The element has been implemented into an open-source finite element code to ease computations involving more complex structures. Numerical examples show a favorable comparison with standard beam elements formulated in the finite-strain framework and with analytical solutions. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | České vysoké učení technické v Praze | cs |
dc.publisher | Czech Technical University in Prague | en |
dc.relation.ispartofseries | Acta Polytechnica | |
dc.relation.uri | https://ojs.cvut.cz/ojs/index.php/APP/article/view/7216 | |
dc.rights | Creative Commons Attribution 4.0 International License | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.title | BEAM ELEMENT UNDER FINITE ROTATIONS | |
dc.type | article | en |
dc.date.updated | 2023-02-01T15:14:09Z | |
dc.identifier.doi | 10.14311/APP.2021.30.0087 | |
dc.rights.access | openAccess | |
dc.type.status | Peer-reviewed | |
dc.type.version | publishedVersion |
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