Optymalizacja kształtu pręta ściskanego z uwzględnieniem ciężaru własnego metodą programowania dynamicznego

The subject of this paper is to maximize the critical force under a constant volume of a bar. The problem of stability is based on the statical stability criterion. The critical forces were calculated numerically by minimizing the potential energy, Bellman' sfunctional equation being used. The problem of shape optimization was also solved numerically on the basis of Claudon [8] gradient method. The influence of constrained cross-section is shown. Only the rectangular cross-section of a bar was discussed.