A Multi-Objective Topology Optimization Methodology Based on Pareto Optimal Min-Cut

A topology optimization (TO) design is inherently a bi-objective problem since the design goals are, at least, to minimize the material consumption and to maximize a performance parameter. To eliminate the extremely high computational burden and the checkerboard pattern problem of existing optimal methodologies, this article proposes a novel methodology based on Pareto optimal min-cut (POMC) to solve multi-objective TO problems with minimizing the volume as one objective. The good ability to handle an equality constraint based on POMC enables the proposed algorithm to achieve the optimality of the single objective under any equality volume constraint. According to the comparison of numerical results with other methodologies, the proposed methodology is capable of obtaining higher quality Pareto frontiers by using much reduced computational burdens.