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Design optimization of elastic metamaterials with multilayered honeycomb structure by Kriging surrogate model and genetic algorithm

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The bandgap properties of elastic metamaterials can be efficiently utilized to tailor the propagation characteristics of elastic and acoustic waves, which have promising applications in noise and vibration reduction and isolation. In this paper, an elastic metamaterial with a multilayered honeycomb structure (EMHS) is proposed to enlarge the bandgaps in the low-frequency range and its bandgap properties are analyzed. To meet the requirement of the lightweight design, an optimization model for maximizing the total relative bandgap width with a mass constraint is established. A novel optimization approach combining the Kriging surrogate model with the genetic algorithm (GA) is proposed to reduce the huge computational cost of the corresponding optimization problem. In the Kriging-GA approach, a high-precision Kriging-based surrogate model with addition of supplementary points is constructed to predict the bandgap objective function value, and the GA is employed to search for the optimal parameters. The performance of the proposed Kriging-GA approach is investigated by numerical examples, and the results are compared with those obtained by the commonly used FEM-GA method. The results show that the proposed Kriging-GA approach is highly efficient for the design optimization of the EMHS and can remarkably reduce the computational cost of the considered optimization problem, which has promising prospects in a wide range of engineering applications.

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This work is supported by Guangxi Key Laboratory of Manufacturing System and Advanced Manufacturing Technology (Grant No. 22-35-4-S010), Fundamental Research Funds for the Central Universities, CHD (Grant No. 300102252101), Natural Science Basic Research Program of Shaanxi Province (Grant No. 2022JM-254), and the National Key Research and Development Program of China (Grant No.2021YFB3400502).

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All authors contributed to the study conception and design. The idea of elastic metamaterial with a multilayered honeycomb structure was raised by Jianhua Wu and Jiading Bao. The optimization algorithm was finished by Jianhua Wu, Zhe Zhang, and WenxuanWan. The main manuscript text was written by Jianhua Wu and Leilei Cao and revised by Chuanzeng Zhang. Yang Gao prepared figures 8–9. All authors reviewed the manuscript.

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Correspondence to Chuanzeng Zhang.

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The authors have no relevant financial or nonfinancial interests to disclose.

Replication of results

The main results of this study can be reproduced using the optimization approach described in this paper. The values of the parameters used can be found in this paper.

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Responsible Editor: Marco Montemurro

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Cao, L., Wu, J., Zhang, Z. et al. Design optimization of elastic metamaterials with multilayered honeycomb structure by Kriging surrogate model and genetic algorithm. Struct Multidisc Optim 67, 82 (2024).

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