Lie Group Generalized-α Time Integration of Constrained Flexible Multibody Systems

dc.creatorBrüls, Olivier
dc.creatorCardona, Alberto
dc.creatorArnold, Martín Alejandro
dc.date2012-02
dc.identifierhttp://hdl.handle.net/11336/18837
dc.identifierBrüls, Olivier; Cardona, Alberto; Arnold, Martín Alejandro; Lie Group Generalized-α Time Integration of Constrained Flexible Multibody Systems; Elsevier; Mechanism And Machine Theory; 48; 2-2012; 121-137
dc.identifier0094-114X
dc.identifierCONICET Digital
dc.identifierCONICET
dc.descriptionThis paper studies a Lie group extension of the generalized-α time integration method for the simulation of flexible multibody systems. The equations of motion are formulated as an index-3 differential-algebraic equation (DAE) on a Lie group, with the advantage that rotation variables can be taken into account without the need of introducing any parameterization. The proposed integrator is designed to solve this equation directly on the Lie group without index reduction. The convergence of the method for DAEs is studied in detail and global second-order accuracy is proven for all solution components, i.e. for nodal translations, rotations and Lagrange multipliers. The convergence properties are confirmed by three benchmarks of rigid and flexible systems with large rotation amplitudes. The Lie group method is compared with a more classical updated Lagrangian method which is also formulated in a Lie group setting. The remarkable simplicity of the new algorithm opens interesting perspectives for real-time applications, model-based control and optimization of multibody systems.
dc.descriptionFil: Brüls, Olivier. University of Liège; Bélgica
dc.descriptionFil: Cardona, Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
dc.descriptionFil: Arnold, Martín Alejandro. Martin Luther University Halle-Wittenberg; Alemania
dc.formatapplication/pdf
dc.formatapplication/pdf
dc.languageeng
dc.publisherElsevier
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0094114X11001510
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.mechmachtheory.2011.07.017
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subjectFlexible Multibody System;
dc.subjectTime Integration;
dc.subjectGeneralized-Α Method;
dc.subjectDae;
dc.subjecthttps://purl.org/becyt/ford/2.3
dc.subjecthttps://purl.org/becyt/ford/2
dc.titleLie Group Generalized-α Time Integration of Constrained Flexible Multibody Systems
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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