On boundary damped inhomogeneous Timoshenko beams and related problems | Zendy

Picard Rainer | Zendy; Watson Bruce | Zendy

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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.

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