dc.creatorArnold, Martín Alejandro
dc.creatorBrüls, Olivier
dc.creatorCardona, Alberto
dc.date.accessioned2019-06-21T01:10:10Z
dc.date.accessioned2022-10-15T14:17:41Z
dc.date.available2019-06-21T01:10:10Z
dc.date.available2022-10-15T14:17:41Z
dc.date.created2019-06-21T01:10:10Z
dc.date.issued2015-01
dc.identifierArnold, Martín Alejandro; Brüls, Olivier; Cardona, Alberto; Error analysis of generalized-alpha Lie group time integration methods for constrained mechanical systems; Springer; Numerische Mathematik; 129; 1; 1-2015; 149-179
dc.identifier0029-599X
dc.identifierhttp://hdl.handle.net/11336/78608
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4395911
dc.description.abstractGeneralized-α methods are very popular in structural dynamics. They are methods of Newmark type and combine favourable stability properties with second order convergence for unconstrained second order systems in linear spaces. Recently, they were extended to constrained systems in flexible multibody dynamics that have a configuration space with Lie group structure. In the present paper, the convergence of these Lie group methods is analysed by a coupled one-step error recursion for differential and algebraic solution components. It is shown that spurious oscillations in the transient phase result from order reduction that may be avoided by a perturbation of starting values or by index reduction. Numerical tests for a benchmark problem from the literature illustrate the results of the theoretical investigations.
dc.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00211-014-0633-1
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectMETHODS FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS
dc.subjectSTABILITY AND CONVERGENCE OF NUMERICAL METHODS
dc.subjectCONSTRAINED DYNAMICS
dc.subjectHOLONOMIC SYSTEMS
dc.titleError analysis of generalized-alpha Lie group time integration methods for constrained mechanical systems
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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