In this paper, we consider topology optimization of continuum structures subject to multiple loads. The objective is to minimize mass, while satisfying maximum displacement constraints at the points of load-application.

The classic method of including displacement constraints is through penalization of the objective function. Here, we propose an alternate method that relies on the concept of topological sensitivity. The proposed method generalizes the recently proposed single-load PareTO method by the first author. For multi-load problems, the topological sensitivity fields for each of the load-cases are computed, and then combined through weighting functions that continuously adapt to satisfy the constraints. Different weighting functions are considered, and compared through numerical experiments.

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