An Optimal Control Problem for A Viscoelastic Plate in a Dynamic Contact with an Obstacle
and | Jan 25, 2019
Published Online: Jan 25, 2019
Page range: 27 - 37
Received: Dec 11, 2017
DOI: https://doi.org/10.2478/tmmp-2018-0003
Keywords
© 2018 Igor Bock et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
We deal with an optimal control problem governed by a nonlinear hyperbolic initial-boundary value problem describing the perpendicular vibrations of a simply supported anisotropic viscoelastic plate against a rigid obstacle. A variable thickness of a plate plays the role of a control variable. We verify the existence of an optimal thickness function.