Solvability of a model for the vibration of a beam with a damping tip body
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Date
Authors
Basson, Madelein
De Villiers, M.
Van Rensburg, N.F.J.
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing
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.
Description
Keywords
Solvability, Damping tip body, General linear vibration model
Sustainable Development Goals
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.