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On boundary damped inhomogeneous Timoshenko beams and related problems
Author(s) -
Picard Rainer,
Watson Bruce
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4124
Subject(s) - mathematics , boundary (topology) , boundary value problem , timoshenko beam theory , mathematical analysis , focus (optics) , class (philosophy) , order (exchange) , beam (structure) , physics , computer science , finance , artificial intelligence , optics , economics
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.