English

On Boundary Damped Inhomogeneous Timoshenko Beams and Related Problems

Analysis of PDEs 2016-02-09 v1

Abstract

We consider the model equations for the Timoshenko beam as a first order system in the framework of evolutionary equations. The focus is on boundary damping, which is implemented as a dynamic boundary condition. A change of material laws allows to include a large class of cases of boundary damping. By choosing a particular material law, it is shown that the first order approach to Sturm-Liouville problems with boundary damping is also covered.

Keywords

Cite

@article{arxiv.1602.02521,
  title  = {On Boundary Damped Inhomogeneous Timoshenko Beams and Related Problems},
  author = {Rainer Picard and Bruce A. Watson},
  journal= {arXiv preprint arXiv:1602.02521},
  year   = {2016}
}