A simple method for coupled acoustic-mechanical analysis with application to gradient-based topology optimization

Jakob S. Jensen*

*Corresponding author for this work

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A simple computational framework for analysis of acoustic-mechanical coupling is proposed. The method is based one xtended finite element models for structural vibrations and acoustic pressure fluctuations using artificial mechanical and acoustic parameters in the non-structural and non-acoustic domains, respectively. The acoustic-mechanical interaction is created using a self-coupling matrix assembled in the entire computational domain, effectively generating coupling at acoustic-mechanical interface boundaries. The simple analysis tool circumvents the need for explicit interface tracking with accuracy controlled explicitly using a contrast parameter between the physical and artificial material parameters. Furthermore, the method’s direct applicability to gradient-based topology optimization, where elements can turn from mechanical to acoustic and vice versa, is demonstrated and illustrated using a simple example.
Original languageEnglish
JournalStructural and Multidisciplinary Optimization
Issue number5
Pages (from-to)1567–1580
Publication statusPublished - 2019


  • Acoustic-mechanical coupling
  • Extended models
  • Topology optimization

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