Basson, MadeleinDe Villiers, M.Van Rensburg, N.F.J.2015-02-062015-02-062014-05Basson, 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. 1-7.1110-757X (print)1687-0042 (online)10.1155/2014/298092http://hdl.handle.net/2263/43589We 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© 2014 M. Basson et al. This is an open access article distributed under the Creative Commons Attribution License.SolvabilityDamping tip bodyGeneral linear vibration modelArticle