Solvability of a hybrid model for a vertical slender structure

aut.researcherVan Der Merwe, Aletta Johanna
dc.contributor.authorLabuschagne, A
dc.contributor.authorvan Rensburg, NFJ
dc.contributor.authorvan der Merwe, AJ
dc.date.accessioned2011-07-28T05:34:06Z
dc.date.accessioned2012-04-23T21:26:54Z
dc.date.available2011-07-28T05:34:06Z
dc.date.available2012-04-23T21:26:54Z
dc.date.copyright2009
dc.date.issued2009
dc.description.abstractWe consider the solvability of a hybrid model for the vibration of a vertical slender structure mounted on an elastic seating. The slender structure is modeled as a Rayleigh beam and gravity is taken into account. The seating and foundation block are modeled as rigid bodies connected by elastic springs with damping mechanisms. We show how an existence result for a general linear vibration problem in variational form may be applied to the weak variational problem for this system.
dc.identifier.citationJournal of Numerical Analysis, Industrial and Applied Mathematics, vol.4(3-4), pp.181 - 191
dc.identifier.urihttps://hdl.handle.net/10292/3989
dc.publisherEuropean Society of Computational Methods in Sciences and Engineering (ESCMSE)
dc.relation.replaceshttp://hdl.handle.net/10292/1532
dc.relation.replaces10292/1532
dc.relation.urihttp://www.jnaiam.org/index.php?/archives/69-Solvability-of-a-Hybrid-Model-for-a-Vertical-Slender-Structure.html
dc.rightsJournal of Numerical Analysis, Industrial and Applied Mathematics is available free of charge as an Open Access journal on the Internet.
dc.rights.accessrightsOpenAccess
dc.subjectExistence results
dc.subjectBeam vibration
dc.subjectDamping
dc.subjectHybrid model
dc.titleSolvability of a hybrid model for a vertical slender structure
dc.typeJournal Article
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pubs.organisational-data/AUT/PBRF Researchers/Design & Creative Technologies PBRF Researchers/DCT C & M Mathematical Science
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