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Efficient acoustic topology optimization with the Multifrequency Quasi-Static Ritz vector (MQSRV) method

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Abstract

This research develops a new acoustic topology optimization scheme with a model order reduction called the Multifrequency Quasi Static Ritz Vector (MQSRV) method which effectively reduces the size of the system matrix for the calculating responses as well as sensitivity values in frequency domain. Computing the accurate acoustic responses and sensitivity values with the finite element (FE) method usually requires a significant amount of computational resources. For an efficient optimization, this research adopts recent developments in computational model order reduction approach having successfully exploited advanced mathematical development for calculating accurate solutions of partial differential equation. Among model order reduction schemes, the present study uses the MQSRV method which calculates the Ritz vector bases at multiple frequencies to minimize the amplitude of sound pressure in objective domain. Through several design examples, the efficiency and reliability of the MQSRV method for the acoustic topology optimization are verified.

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Acknowledgements

This work was supported by Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by the Korea government (MOTIE) (20202020800030, Development of Smart Hybrid Envelope Systems for Zero Energy Buildings through Holistic Performance Test and Evaluation Methods and Fields Verifications) and by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2018R1A5A7025522).

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Authors and Affiliations

  1. School of Mechanical Engineering, Hanyang University, Seoul, South Korea

    Myung Shin & Gil Ho Yoon

Authors
  1. Myung Shin
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  2. Gil Ho Yoon
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Contributions

These authors contributed equally to this study. Conceptualization: [Gil Ho Yoon], Methodology: [Gil Ho Yoon], Validation, Resources: [Gil Ho Yoon], Writing - Review & Editing: [Gil Ho Yoon], Supervision: [Gil Ho Yoon], Project administration: [Gil Ho Yoon], Formal analysis: [Myung Shin], Investigation: [Myung Shin], Writing - Original draft: [Myung Shin], Visualization: [Myung Shin].

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Correspondence to Gil Ho Yoon.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. The authors declare the following financial interests/personal relationships which may be considered as potential competing interests.

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Shin, M., Yoon, G.H. Efficient acoustic topology optimization with the Multifrequency Quasi-Static Ritz vector (MQSRV) method. Comput Mech 70, 993–1011 (2022). https://doi.org/10.1007/s00466-022-02196-5

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  • DOI: https://doi.org/10.1007/s00466-022-02196-5

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