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.
Citation
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