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dc.contributor.author
Bauchau, Olivier A.
dc.contributor.author
Betsch, Peter
dc.contributor.author
Cardona, Alberto
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dc.contributor.author
Gerstmayr, Johannes
dc.contributor.author
Jonker, Ben
dc.contributor.author
Masarati, Pierangelo
dc.contributor.author
Sonneville, Valentin
dc.date.available
2018-03-07T22:28:33Z
dc.date.issued
2016-05
dc.identifier.citation
Bauchau, Olivier A.; Betsch, Peter; Cardona, Alberto; Gerstmayr, Johannes; Jonker, Ben; et al.; Validation of flexible multibody dynamics beam formulations using benchmark problems; Springer; Multibody System Dynamics; 37; 1; 5-2016; 29-48
dc.identifier.issn
1384-5640
dc.identifier.uri
http://hdl.handle.net/11336/38256
dc.description.abstract
As the need to model flexibility arose in multibody dynamics, the floating frame of reference formulation was developed, but this approach can yield inaccurate results when elastic displacements becomes large. While the use of three-dimensional finite element formulations overcomes this problem, the associated computational cost is overwhelming. Consequently, beam models, which are one-dimensional approximations of three-dimensional elasticity, have become the workhorse of many flexible multibody dynamics codes. Numerous beam formulations have been proposed, such as the geometrically exact beam formulation or the absolute nodal coordinate formulation, to name just two. New solution strategies have been investigated as well, including the intrinsic beam formulation or the DAE approach. This paper provides a systematic comparison of these various approaches, which will be assessed by comparing their predictions for four benchmark problems. The first problem is the Princeton beam experiment, a study of the static large displacement and rotation behavior of a simple cantilevered beam under a gravity tip load. The second problem, the four-bar mechanism, focuses on a flexible mechanism involving beams and revolute joints. The third problem investigates the behavior of a beam bent in its plane of greatest flexural rigidity, resulting in lateral buckling when a critical value of the transverse load is reached. The last problem investigates the dynamic stability of a rotating shaft. The predictions of eight independent codes are compared for these four benchmark problems and are found to be in close agreement with each other and with experimental measurements, when available.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Beam Models
dc.subject
Benchmark Problems
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Multibody Dynamics
dc.subject.classification
Ingeniería Mecánica
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dc.subject.classification
Ingeniería Mecánica
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dc.subject.classification
INGENIERÍAS Y TECNOLOGÍAS
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dc.title
Validation of flexible multibody dynamics beam formulations using benchmark problems
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-03-07T15:53:49Z
dc.identifier.eissn
1573-272X
dc.journal.volume
37
dc.journal.number
1
dc.journal.pagination
29-48
dc.journal.pais
Alemania
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dc.journal.ciudad
Berlín
dc.description.fil
Fil: Bauchau, Olivier A.. University of Maryland; Estados Unidos
dc.description.fil
Fil: Betsch, Peter. Karlsruher Institut fur Technologie; Alemania
dc.description.fil
Fil: Cardona, Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
dc.description.fil
Fil: Gerstmayr, Johannes. Universidad de Innsbruck; Austria
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Fil: Jonker, Ben. University of Twente; Países Bajos
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Fil: Masarati, Pierangelo. Politecnico di Milano; Italia
dc.description.fil
Fil: Sonneville, Valentin. Université de Liège; Bélgica
dc.journal.title
Multibody System Dynamics
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s11044-016-9514-y
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs11044-016-9514-y
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