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On boundary damped inhomogeneous Timoshenko beams and related problems

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 the inclusion of 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. Copyright © 2016 John Wiley & Sons, Ltd.