On Boundary Damped Inhomogeneous Timoshenko Beams and Related Problems

2016/02/08 by Rainer Picard, Picard, Rainer, Bruce A. Watson +1
Mathematics · #34B24 #35L40 #74K10 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:34B24 #msc:35L40 #msc:74K10

paper · pdf · doi:10.48550/arxiv.1602.02521

arxiv created 2016/02/08 · arxiv updated 2016/02/09

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.

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