Optymalne kształtowanie dysków wirujących z zastosowaniem zasady maksimum Pontriagina

In the paper two problems of the optimal design of rotating discs have been considered. For each of these tasks the thickness of the discs was bounded. In the first case the displacement of the extremal edge was taken as the objective function. In the second case the norm in the $L_2$ sense of the stress intensity. The circular discs as well as the ring discs were considered. The solution by using Pontriagin's principle was obtained. This approach leads to the two-point boundary problems which was solved by numerical methods. Some ilustrative examples are given.