The objective function construction for the multi-criteria problems of cyclic bending

A new method for the single objective function construction for multi-criteria optimization problems is presented. This objective function estimates the “distance” between the required and actual distributions of the inelastic (thermal and plastic) strains in the body. In some specific cases such as the decreasing of the mechanical imperfection of long-dimensional profiles, the objective function may contain the initial curvature or the initial stress distribution as parameters. Several applied problems such as wire levelling and beam straightening are solved and discussed.