Abstract
The article considers the problem of optimizing the topology of products in additive manufacturing due to the optimal placement of circular holes. The task is to pack several circles of variable radii, set within the limits set by 3D printing standards. A two-criteria formulation is proposed, which takes into account the packing factor and the maximum mechanical stress of the products. The method of the main criterion is used to find a compromise solution to the problem. A new approach has been developed, which is based on the modified method of Apollonian packing of circles and nonlinear optimization. Numerical examples and graphical illustration of the results are given.
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