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Topology Optimization for Acoustic–Structure Interaction Systems Using the Model Reduction Method

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Abstract

Purpose

This paper develops a vibro-acoustic component modal synthesis method to solve the problem of high computation time in solving the eigenvalues and eigenvectors of coupled equations for noise reduction topology optimization.

Methods

The normalization condition of the left and right eigenvectors of the unsymmetrical vibro-acoustic equation is introduced, and Craig–Bampton method is extended to the structure-acoustic coupled problem, which reduces the time consumed by the response calculation part. The results show that the eigenvalues, the eigenvectors, and the response values calculated by the proposed method match well with the original model. To solve the problem of spurious eigenmodes caused by the traditional penalization model used in the classical bi-directional evolutionary optimization (BESO) method, the linear stiffness penalization model is introduced into the BESO method, and an improved penalization model is proposed.

Conclusions

Numerical examples of minimizing the response at a specified target point are studied. The results show that the iterative process is robust. Through these numerical design examples, the effectiveness and reliability of the model reduction method and the improved penalization model are verified.

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Acknowledgements

This study is supported by the Chinese National Natural Science Fund (No. 11602300).

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Authors and Affiliations

  1. College of Weaponry Engineering, Naval University of Engineering, Wuhan, 430033, Hubei, People’s Republic of China

    Xudong Wang & Deshi Wang

  2. College of Electronic Engineering, Naval University of Engineering, Wuhan, 430033, Hubei, People’s Republic of China

    Bao Liu

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  1. Xudong Wang
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  2. Bao Liu
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  3. Deshi Wang
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Correspondence to Xudong Wang.

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Wang, X., Liu, B. & Wang, D. Topology Optimization for Acoustic–Structure Interaction Systems Using the Model Reduction Method. J. Vib. Eng. Technol. 9, 341–353 (2021). https://doi.org/10.1007/s42417-020-00230-5

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  • DOI: https://doi.org/10.1007/s42417-020-00230-5

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