We deal with an optimal control problem governed by a nonlinear hyperbolic initial-boundary value problem describing the perpendicular vibrations of a clamped beam against a unilateral elastic foundation. A variable thickness of a beam plays the role of a control variable. The original equation for the deflection is regularized in order to derive necessary optimality conditions.
@article{336,
title = {Regularized optimal control problem for a beam vibrating against a unilateral elastic foundation},
journal = {Tatra Mountains Mathematical Publications},
volume = {58},
year = {2014},
doi = {10.2478/tatra.v63i0.336},
language = {EN},
url = {http://dml.mathdoc.fr/item/336}
}
Bock, Igor; Kečkemétyová, Mária. Regularized optimal control problem for a beam vibrating against a unilateral elastic foundation. Tatra Mountains Mathematical Publications, Tome 58 (2014) . doi : 10.2478/tatra.v63i0.336. http://gdmltest.u-ga.fr/item/336/