Optimal control for elasto-orthotropic plate

The optimal control problems and a weight mini- mization 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 de- sign 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 prob- lem 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 con- tinuous problem. Finally, the application to the optimal design of unilaterally supported of rotational symmetrical load elastic annular plate is presented. Keywords: control of variational inequalities, elasto-orthotropic plate, optimal design, weight minimizati...