Topology Optimization for Acoustic Structures Without Floating Components

We propose a level-set method for topology optimization to design acoustic structures without unsupported floating structures. The proposed method involves developing an artificial physical model for detecting floating structures and an objective function for eliminating them. As a design problem, we chose acoustic cloaking and formulated a topology optimization problem under geometric constraints. We applied an optimization algorithm that includes finite element analysis for the acoustic system and an artificial physical field. We provide several numerical examples demonstrating the validity and applicability of the proposed method, and we show how it can be used to design a cloaking structure without any floating components.