- Tytuł:
- Optimal control for elasto-orthotropic plate
- Autorzy:
-
Lovišek, J.
Králik, J. - Powiązania:
- https://bibliotekanauki.pl/articles/969940.pdf
- Data publikacji:
- 2006
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
control of variational inequalities
elasto-orthotropic plate
optimal design
weight minimization
approximate optimization problem - Opis:
- 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.
- Źródło:
-
Control and Cybernetics; 2006, 35, 2; 219-278
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł