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dc.contributor.author
Arnold, Martín Alejandro
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dc.contributor.author
Cardona, Alberto
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dc.contributor.author
Brüls, Olivier
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dc.date.available
2018-03-21T17:48:56Z
dc.date.issued
2015-07
dc.identifier.citation
Arnold, Martín Alejandro; Cardona, Alberto; Brüls, Olivier; Order reduction in time integration caused by velocity projection; Korean Soc Mechanical Engineers; Journal of Mechanical Science and Technology; 29; 7; 7-2015; 2579-2585
dc.identifier.issn
1738-494X
dc.identifier.uri
http://hdl.handle.net/11336/39529
dc.description.abstract
Holonomic constraints restrict the configuration of a multibody system to a subset of the configuration space. They imply so called hidden constraints at the level of velocity coordinates that may formally be obtained from time derivatives of the original holonomic constraints. A numerical solution that satisfies hidden constraints as well as the original constraint equations may be obtained considering both types of constraints simultaneously in each time step (Stabilized index-2 formulation) or using projection techniques. Both approaches are well established in the time integration of differential-algebraic equations. Recently, we have introduced a generalized-α Lie group time integration method for the stabilized index-2 formulation that achieves second order convergence for all solution components. In the present paper, we show that a separate velocity projection would be less favourable since it may result in an order reduction and in large transient errors after each projection step. This undesired numerical behaviour is analysed by a one-step error recursion that considers the coupled error propagation in differential and algebraic solution components. This one-step error recursion has been used before to prove second order convergence for the application of generalized-α methods to constrained systems.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Korean Soc Mechanical Engineers
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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
Generalized-Α Method
dc.subject
Lie Group Time Integration
dc.subject
Velocity Projection
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
Order reduction in time integration caused by velocity projection
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-03-07T15:53:41Z
dc.identifier.eissn
1976-3824
dc.journal.volume
29
dc.journal.number
7
dc.journal.pagination
2579-2585
dc.journal.pais
Corea del Sur
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dc.description.fil
Fil: Arnold, Martín Alejandro. Martin Luther University; 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: Brüls, Olivier. Université de Liège; Bélgica
dc.journal.title
Journal of Mechanical Science and Technology
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s12206-015-0501-7
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs12206-015-0501-7
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