Solvability of a hybrid model for a vertical slender structure
aut.researcher | Van Der Merwe, Aletta Johanna | |
dc.contributor.author | Labuschagne, A | |
dc.contributor.author | van Rensburg, NFJ | |
dc.contributor.author | van der Merwe, AJ | |
dc.date.accessioned | 2011-07-28T05:34:06Z | |
dc.date.accessioned | 2012-04-23T21:26:54Z | |
dc.date.available | 2011-07-28T05:34:06Z | |
dc.date.available | 2012-04-23T21:26:54Z | |
dc.date.copyright | 2009 | |
dc.date.issued | 2009 | |
dc.description.abstract | We 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.citation | Journal of Numerical Analysis, Industrial and Applied Mathematics, vol.4(3-4), pp.181 - 191 | |
dc.identifier.uri | https://hdl.handle.net/10292/3989 | |
dc.publisher | European Society of Computational Methods in Sciences and Engineering (ESCMSE) | |
dc.relation.replaces | http://hdl.handle.net/10292/1532 | |
dc.relation.replaces | 10292/1532 | |
dc.relation.uri | http://www.jnaiam.org/index.php?/archives/69-Solvability-of-a-Hybrid-Model-for-a-Vertical-Slender-Structure.html | |
dc.rights | Journal of Numerical Analysis, Industrial and Applied Mathematics is available free of charge as an Open Access journal on the Internet. | |
dc.rights.accessrights | OpenAccess | |
dc.subject | Existence results | |
dc.subject | Beam vibration | |
dc.subject | Damping | |
dc.subject | Hybrid model | |
dc.title | Solvability of a hybrid model for a vertical slender structure | |
dc.type | Journal Article | |
pubs.organisational-data | /AUT | |
pubs.organisational-data | /AUT/Design & Creative Technologies | |
pubs.organisational-data | /AUT/Design & Creative Technologies/School of Computing & Mathematical Science | |
pubs.organisational-data | /AUT/PBRF Researchers | |
pubs.organisational-data | /AUT/PBRF Researchers/Design & Creative Technologies PBRF Researchers | |
pubs.organisational-data | /AUT/PBRF Researchers/Design & Creative Technologies PBRF Researchers/DCT C & M Mathematical Science |