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Machine-learning-driven on-demand design of phononic beams

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Abstract

The development of phononic crystals, especially their interaction with topological insulators, allows exploration of the anomalous properties of acoustic/elastic waves for various applications. However, rapidly and inversely exploring the geometry of specific targets remains a major challenge. In this work, we show how machine learning can address this challenge by studying phononic crystal beams using two different inverse design schemes. We first develop the theory of phononic beams using the transfer matrix method. Then, we use the reinforcement learning algorithm to effectively and inversely design the structural parameters to maximize the bandgap width. Furthermore, we employ the tandem-architecture neural network to solve the training-difficulty problem caused by inconsistent data and complete the task of inverse structure design with the targeted topological properties. The two inverse-design schemes have different adaptabilities, and both are characterized by high efficiency and stability. This work provides deep insights into the combination of machine learning, topological property, and phononic crystals and offers a reliable platform for rapidly and inversely designing complex material and structure properties.

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Author information

Authors and Affiliations

  1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, China

    Liangshu He, Yabin Jin & Yan Li

  2. Institute of Photonics, Department of Mathematics and Physics, Leibniz University, Hannover, 30167, Germany

    Hongwei Guo & Xiaoying Zhuang

  3. Department of Geotechnical Engineering, College of Civil Engineering, Tongji University, Shanghai, 200092, China

    Xiaoying Zhuang

  4. Institute of Structural Mechanics, Bauhaus-Universitat Weimar, Weimar, D-99423, Germany

    Timon Rabczuk

Authors
  1. Liangshu He
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  2. Hongwei Guo
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  3. Yabin Jin
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  4. Xiaoying Zhuang
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  5. Timon Rabczuk
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  6. Yan Li
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Corresponding authors

Correspondence to Yabin Jin or Yan Li.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant No. 11902223), the Shanghai Pujiang Program (Grant No. 19PJ1410100), the Program for Professors of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning, the Fundamental Research Funds for the Central Universities, and Shanghai Municipal Peak Discipline Program (Grant No. 2019010106).

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He, L., Guo, H., Jin, Y. et al. Machine-learning-driven on-demand design of phononic beams. Sci. China Phys. Mech. Astron. 65, 214612 (2022). https://doi.org/10.1007/s11433-021-1787-x

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  • DOI: https://doi.org/10.1007/s11433-021-1787-x

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