Abstract
Since the early 1920s, the design of mufflers has become an influential topic of study among engineers, as they have the ability to reduce noise from industrial machinery, combustion engines, refrigerators, etc. However, since its applications are strongly dependent on the target frequencies and the adopted geometries, efficient muffler design methods are still under investigation up to this day. With that in mind, this paper presents a multi-domain acoustic topology optimization methodology applied to the design of reactive and dissipative expansion chamber mufflers. Based on the Bi-directional Evolutionary Structural Optimization (BESO) algorithm, the proposed approach also uses a novel material interpolation scheme that considers acoustic, porous and rigid domains during the optimization process, hence configuring a multi-phase procedure. The simulation of porous materials is performed by the Johnson–Champoux–Allard (JCA) mathematical formulations, while the numerical solution is obtained by the finite element method. To further compose the study, the objective function is defined as the mean value of the sound Transmission Losses (TL) obtained along one, two or three different frequency bands, while the proposed multi-domain BESO (mdBESO) algorithm is applied to the design of single and multi-chamber mufflers. Here, more than one muffler per BESO iteration is considered, being also possible to optimize for specific frequency bands in predefined chambers. The effectiveness of both, the novel material interpolation scheme and the mdBESO algorithm, are highlighted, showing considerable TL enhancements in the broad range of frequencies chosen, while also presenting clear optimized partitions as result.
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Funding
The authors would like to acknowledge the financial support given by the Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP), Project Numbers 2013/08293-7 and 2019/05393-7, and by the Coordenação de Aperfeiçoamento de Pessoal do Nível Superior (CAPES), finance code 001.
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RLP: Conceptualization, Methodology, Software, Validation, Data Curation, Writing—Original Draft preparation, Visualization, Writing—Review & Editing. HNL: Conceptualization, Methodology, Writing—Review & Editing. MSM: Conceptualization, Writing—Review & Editing. RP: Conceptualization, Resources, Writing—Review & Editing, Supervision, Project administration.
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The MATLAB® code of the proposed mdBESO algorithm is available upon request to the corresponding author.
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Pereira, R.L., Lopes, H.N., Moura, M.S. et al. Multi-domain acoustic topology optimization based on the BESO approach: applications on the design of multi-phase material mufflers. Struct Multidisc Optim 66, 25 (2023). https://doi.org/10.1007/s00158-022-03479-4
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DOI: https://doi.org/10.1007/s00158-022-03479-4