About searching for the optimal 3D printing scheme of structures from composite materials

The article is devoted to finding optimal fiber laying trajectories in the manufacture of structures reinforced with continuous fibers by 3D printing. As the objective function of this optimization problem, one of the criteria for the destruction of the composite is selected. Fiber laying schemes during printing are modeled using analytical functions that are found from the Neumann problem for the Laplace equation. The boundary conditions for this problem are constructed on the basis of specifying the angles between the fibers and the boundary of the region. The Neumann problem is solved by a conformal transformation of the print area into a circle. Thus, the criterion for the destruction of the composite becomes a function of the angles that the fibers form with the boundary of the region. Minimization is carried out using a genetic algorithm for searching for the global minimum of a function of several variables.