Derivation of Equations for Flexible Multibody Systems in Terms of Quasi-Coordinates from the Extended Hamilton’s Principle

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dc.contributor.authorMeirovitch, L.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessioned2017-09-18T10:11:56Zen
dc.date.available2017-09-18T10:11:56Zen
dc.date.issued1993-01-01en
dc.date.updated2017-09-18T10:11:56Zen
dc.description.abstractEarly derivations of the equations of motion for single rigid bodies, single flexible bodies, and flexible multibody systems in terms of quasi-coordinates have been carried out in two stages. The first consists of the use of the extended Hamilton’s principle to derive standard Lagrange’s equations in terms of generalized coordinates and the second represents a transformation of the Lagrange’s equations to equations in terms of quasi-coordinates. In this article, hybrid (ordinary and partial) differential equations for flexible multibody systems are derived in terms of quasi-coordinates directly from the extended Hamilton's principle. The approach has beneficial implications in an eventual spatial discretization of the problem.en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationL. Meirovitch, “Derivation of Equations for Flexible Multibody Systems in Terms of Quasi-Coordinates from the Extended Hamilton’s Principle,” Shock and Vibration, vol. 1, no. 2, pp. 107-119, 1993. doi:10.3233/SAV-1993-1202en
dc.identifier.doihttps://doi.org/10.3233/SAV-1993-1202en
dc.identifier.urihttp://hdl.handle.net/10919/79119en
dc.language.isoenen
dc.publisherHindawien
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.holderCopyright © 1993 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.en
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleDerivation of Equations for Flexible Multibody Systems in Terms of Quasi-Coordinates from the Extended Hamilton’s Principleen
dc.title.serialShock and Vibrationen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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