Solvability of a Model for the Vibration of a Beam with a Damping Tip Body

M. Basson, M. de Villiers and N. F. J. van Rensburg

Journal of Applied Mathematics, 2014, vol. 2014, 1-7

Abstract:

We consider a model for the vibration of a beam with 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:298092

DOI: 10.1155/2014/298092

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