Evolutionary topology optimization for acoustic-structure interaction problems using a mixed u/p formulation

Abstract

In this work, we present a topology optimization method for acoustic-structure interaction problems, which combines bi-directional evolutionary structural optimization (BESO) with a mixed displacement-pressure (u/p) formulation as an effective and straightforward design method for a multi-physics system involving acoustic-structure interactions. Due to the binary characteristics of the BESO and the multi-physics modeling approach of the mixed formulation, the proposed optimization procedure could benefit from high computational efficiency and high-quality design in acoustic-structure interaction problems. Several topology optimization problems for vibro-acoustic systems are carried out, in order to demonstrate the effectiveness of the presented method.

Keywords:

• Topology optimization
• BESO method
• acoustic-structure interaction (ASI)
• mixed u/p formulation

Acknowledgment

The author would like to thank his colleague, Professor Jakob S. Jensen, for providing valuable discussions and comments that greatly improved the manuscript.

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Funding

This research was funded by the Danish Research Council for Independent Research-Individual postdoctoral grants (DFF-FTP).