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Topology optimization of two-dimensional magnetorheological elastomer phononic crystal plate with tunable bandgap considering a specified target frequency

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Abstract

Phononic crystals with tunable bandgap characteristics have attracted increasing research interest. In order to design the widest tunable bandgap, a magnetorheological elastomer phononic crystal plate (MREPCP) was developed and a topology optimization method based on the sequential Kriging-based material-field series expansion (KG-MFSE) method and the bi-material model was proposed for the MREPCP in this paper. The bandgap calculated by the improved plane wave expansion (IPWE) method is consistent with the simulated bandgap obtained by the finite element method (FEM) for the in-plane mode. Subsequently, three numerical examples of topology optimization considering different target frequencies are discussed. The bandgap and transmissibility results consistently verify the effectiveness of the KG-MFSE method in widening the bandgap as well as the tunability of the bandgap for the optimized MREPCP. Finally, the desired waveguides with different predefined paths have been implemented by applying magnetic fields without modifying the structure of the optimized MREPCP, demonstrating good potential for application.

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Acknowledgements

This research is supported by the Zhejiang Provincial Natural Science Foundation (LQ24A020010) and the Scientific Research Project of Hangzhou Normal University Qianjiang College (2023QJJL01). These financial supports are gratefully acknowledged.

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Authors and Affiliations

  1. School of Engineering, Hangzhou Normal University, Hangzhou, 310018, Zhejiang Province, China

    Yuhuai Wang, Jian Xing & Zhizheng Chen

  2. Qianjiang College, Hangzhou Normal University, Hangzhou, 310018, Zhejiang Province, China

    Yuhuai Wang

  3. School of Mechanical and Electrical Engineering, China Jiliang University, Hangzhou, 310018, Zhejiang Province, China

    Xiaojing Zhu

  4. Zhejiang Machinery Industry Federation, Hangzhou, 310009, Zhejiang Province, China

    Jianfang Huang

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  1. Yuhuai Wang
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  2. Jian Xing
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  3. Zhizheng Chen
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  4. Xiaojing Zhu
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  5. Jianfang Huang
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Contributions

Conceptualization: YW, JX, XZ; Methodology: YW, JX, ZC; Formal analysis and investigation: YW, JX, ZC; Writing—original draft preparation: YW, JX, ZC; Writing—review and editing: JX, XZ, JH; Funding acquisition: YW, JX; Resources: JX, XZ, JH; Supervision: JX, XZ.

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Correspondence to Jian Xing.

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Wang, Y., Xing, J., Chen, Z. et al. Topology optimization of two-dimensional magnetorheological elastomer phononic crystal plate with tunable bandgap considering a specified target frequency. Optim Eng (2024). https://doi.org/10.1007/s11081-024-09889-1

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  • DOI: https://doi.org/10.1007/s11081-024-09889-1

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