Solvability of a model for the vibration of a beam with a damping tip body

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Authors

Basson, Madelein
De Villiers, M.
Van Rensburg, N.F.J.

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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.

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Keywords

Solvability, Damping tip body, General linear vibration model

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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.