Premium
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
Abstract 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)