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2014 Solvability of a Model for the Vibration of a Beam with a Damping Tip Body
M. Basson, M. de Villiers, N. F. J. van Rensburg
J. Appl. Math. 2014: 1-7 (2014). DOI: 10.1155/2014/298092

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.

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M. Basson. M. de Villiers. N. F. J. van Rensburg. "Solvability of a Model for the Vibration of a Beam with a Damping Tip Body." J. Appl. Math. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/298092

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131498
MathSciNet: MR3212497
Digital Object Identifier: 10.1155/2014/298092

Rights: Copyright © 2014 Hindawi

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