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

M. Basson | Zendy; Michael De Villiers | Zendy; N.F.J. van Rensburg | Zendy

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

Author(s) -

M. Basson,

Michael De Villiers,

N.F.J. van Rensburg

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/298092

Subject(s) - vibration , beam (structure) , mathematical proof , finite element method , motion (physics) , mathematics , mathematical analysis , rigid body , element (criminal law) , classical mechanics , physics , geometry , acoustics , optics , thermodynamics , political science , law

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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