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

Jakob S. Jensen*

*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

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Abstract

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
Volume59
Issue number5
Pages (from-to)1567–1580
ISSN1615-147X
DOIs
Publication statusPublished - 2019

Keywords

  • Acoustic-mechanical coupling
  • Extended models
  • Topology optimization

Cite this

Jensen, Jakob S. / A simple method for coupled acoustic-mechanical analysis with application to gradient-based topology optimization. In: Structural and Multidisciplinary Optimization. 2019 ; Vol. 59, No. 5. pp. 1567–1580.
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abstract = "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.",
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Jensen, JS 2019, 'A simple method for coupled acoustic-mechanical analysis with application to gradient-based topology optimization', Structural and Multidisciplinary Optimization, vol. 59, no. 5, pp. 1567–1580. https://doi.org/10.1007/s00158-018-2147-4

A simple method for coupled acoustic-mechanical analysis with application to gradient-based topology optimization. / Jensen, Jakob S.

In: Structural and Multidisciplinary Optimization, Vol. 59, No. 5, 2019, p. 1567–1580.

Research output: Contribution to journal › Journal article › Research › peer-review

TY - JOUR

T1 - A simple method for coupled acoustic-mechanical analysis with application to gradient-based topology optimization

AU - Jensen, Jakob S.

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Acoustic-mechanical coupling

KW - Extended models

KW - Topology optimization

U2 - 10.1007/s00158-018-2147-4

DO - 10.1007/s00158-018-2147-4

M3 - Journal article

VL - 59

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SN - 1615-147X

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Jensen JS. A simple method for coupled acoustic-mechanical analysis with application to gradient-based topology optimization. Structural and Multidisciplinary Optimization. 2019;59(5):1567–1580. https://doi.org/10.1007/s00158-018-2147-4

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