Solvability of a model for the vibration of a beam with a damping tip body
dc.contributor.author | Basson, Madelein | |
dc.contributor.author | De Villiers, M. | |
dc.contributor.author | Van Rensburg, N.F.J. | |
dc.contributor.email | madelein.basson@up.ac.za | en_ZA |
dc.date.accessioned | 2015-02-06T10:34:37Z | |
dc.date.available | 2015-02-06T10:34:37Z | |
dc.date.issued | 2014-05 | |
dc.description.abstract | We consider a model for the vibration of a beamwith a damping tip body that appeared in a previous article. In this paper we derive a variational form for the motion of the beam and use it to prove that the model problem has a unique solution. The proofs are based on existence results for a general linear vibration model problem, in variational form. Finite element approximation of the solution is discussed briefly. | en_ZA |
dc.description.librarian | hb2015 | en_ZA |
dc.description.uri | http://www.hindawi.com/journals/jam/ | en_ZA |
dc.identifier.citation | Basson, M, De Villiers, M & Van Rensburg,NFJ 2014, 'Solvability of a model for the vibration of a beam with a damping tip body', Journal of Applied Mathematics, vol. 2014, art. #298092, pp. 1-7. | en_ZA |
dc.identifier.issn | 1110-757X (print) | |
dc.identifier.issn | 1687-0042 (online) | |
dc.identifier.other | 10.1155/2014/298092 | |
dc.identifier.uri | http://hdl.handle.net/2263/43589 | |
dc.language.iso | en | en_ZA |
dc.publisher | Hindawi Publishing | en_ZA |
dc.rights | © 2014 M. Basson et al. This is an open access article distributed under the Creative Commons Attribution License. | en_ZA |
dc.subject | Solvability | en_ZA |
dc.subject | Damping tip body | en_ZA |
dc.subject | General linear vibration model | en_ZA |
dc.title | Solvability of a model for the vibration of a beam with a damping tip body | en_ZA |
dc.type | Article | en_ZA |