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Topology Optimization of Acoustic–Mechanical Structures for Enhancing Sound Quality

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Abstract

Sound quality is one of the essential criteria for measuring the acoustic performance of acoustic devices. In contrast to the optimization of sound characteristics, both the quantitative description of sound quality and the numerical instability that may occur during optimization need to be investigated. In the present work, an explicit topology optimization approach is proposed to enhance the sound quality of acoustic–mechanical structures, where the sound quality is described, resorting to frequency response within a specified frequency band. To this end, the moving morphable component (MMC)-based approach is adopted to achieve the explicit topology design, and the mixed finite element method is introduced to evaluate the sound quality. With the use of the explicit description of MMC, the acoustic-structure boundary can be captured accurately, which is important for acoustic response analysis. Moreover, a regularization topology optimization formulation is also developed to avoid the numerical issues produced in some special frequency bands. Numerical examples demonstrate the effectiveness of the proposed approach in improving sound quality performance.

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Availability of Data and Material

The data and material used or analyzed during the current study are available from the corresponding authors on reasonable request.

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Funding

The financial support from the Foundation for Innovative Research Groups of the National Natural Science Foundation (11821202), the National Natural Science Foundation (12272075), Liaoning Revitalization Talents Program (XLYC2001003, XLYC1907119), and Fundamental Research Funds for the Central Universities (DUT22QN238) are gratefully acknowledged.

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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, International Research Center for Computational Mechanics, Dalian University of Technology, Dalian, 116023, China

    Lei Xu, Weisheng Zhang & Xu Guo

  2. Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, 130033, China

    Zhenyu Liu

Authors
  1. Lei Xu
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  2. Weisheng Zhang
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  3. Zhenyu Liu
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  4. Xu Guo
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Contributions

WZ and XG designed the study; LX performed the research; ZL analyzed data; all authors contributed to the writing and revisions.

Corresponding authors

Correspondence to Weisheng Zhang or Xu Guo.

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The authors declare that they have no competing interests.

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Xu, L., Zhang, W., Liu, Z. et al. Topology Optimization of Acoustic–Mechanical Structures for Enhancing Sound Quality. Acta Mech. Solida Sin. 36, 612–623 (2023). https://doi.org/10.1007/s10338-023-00408-w

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  • DOI: https://doi.org/10.1007/s10338-023-00408-w

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