An optimization of a Mindlin‐Timoshenko beam with a dynamic contact on the boundary | Zendy

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An optimization of a Mindlin‐Timoshenko beam with a dynamic contact on the boundary

Author(s) -

Bock Igor

Publication year - 2011

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201110384

Subject(s) - timoshenko beam theory , beam (structure) , variational inequality , perpendicular , boundary (topology) , boundary value problem , obstacle , mathematical analysis , vibration , mathematics , optimal control , physics , control theory (sociology) , structural engineering , control (management) , computer science , geometry , engineering , mathematical optimization , acoustics , political science , law , artificial intelligence

We deal with the optimal control problem governed by a hyperbolic variational inequality describing the perpendicular vibrations of a Mindlin‐Timoshenko beam clamped on the left end with a rigid obstacle at the right end. A variable thickness of a beam plays the role of a control parameter. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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