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Autori: Lovisek,J. , Kralik,J
Editorial: Elsevier, ISSN 0196-972235, CONTROL AND CYBERNETICS, 35 (2), p.219-278, 2006.
The optimal control problems and a weight minimization problem are considered for elastic three-layered plate with inner obstacle and friction condition on a part of the boundary.
The state problem is represented by a variational inequality and the design variables influence both the coefficients and the set of admissible state functions. We prove the existence of a solution to the above-mentioned problem on the basis of a general theorem on the control of variational inequalities. Next, the approximate optimization problem is proved on the basis of the general theorem for the continuous problem. When the mesh/size tends to zero, then any sequence of appropriate solutions converges uniformly to a solution of the continuous problem. Finally, the application to the optimal design of unilaterally supported of rotational symmetrical load elastic annular plate is presented.
Cuvinte cheie: Optimal control, orthotropic, layered plate, elastic, friction, variational inequality