Regularized optimal control problem for a beam vibrating against an elastic foundation

Igor Bock 1  and Mária Kečkemétyová 1
  • 1 Institute of Computer Science and Mathematics FEI Slovak University of Technology Ilkovičova 3 SK-812-19 Bratislava 1 SLOVAKIA

Abstract

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 u 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

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