Optymalizacja pierścieni sztywno-plastycznych z więzami geometrycznymi

The static approach to optimal plastic design of circular rings with geometric constraints is described in the paper. These constraints consist in an assumption that the cross-section area within the region of a given angle is constant. Solutions of primal and dual problems for rings of sandwich and rectangular cross-section are presented. Final results are compared with the solution obtained by W. Prager [1] where the minimum cross-section constraint had been imposed. Numerical examples show that the form of constraint conditions strongly affect the form of optimal structure and uniqueness of solution.