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Study on the band gap optimization and defect state of two-dimensional honeycomb phononic crystals

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Abstract

Honeycomb phononic crystal can obtain wider band gaps in the low frequency based on local resonance theory. Its band structure can be adjustable if we change the height of the cores, which means different kinds of honeycomb phononic crystal can be selected on the basis of different damping demands. Meanwhile, the point defects and line defects affect the localized modes of sound waves and propagation characteristics, the dispersion relations and the displacement fields of the eigenmodes are calculated in the defected systems, as well as the propagation behaviors in the frequency ranges of the band structure, which are also discussed in detail. We constructed the model based on the periodic boundary condition and calculated the band structure according to Bloch theory, and also performed a series of simulation through the COMSOL software, showing that honeycomb has excellent features in reducing noise and vibration, which has a far-reaching influence in designing the new type of acoustic wave devices.

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Acknowledgment

This paper is funded by the National Natural Science Foundation of China (grant no.11472132) and the National Natural Science Foundation of China (grant no.11602105).

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Authors and Affiliations

  1. State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street No. 29, Nanjing, Jiangsu, 210016, China

    Huan He, Hanbo Shao & Guoping Chen

  2. Key Laboratory of Unmanned Aerial Vehicle Technology, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Cheng He

Authors
  1. Huan He
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  2. Hanbo Shao
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  3. Cheng He
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  4. Guoping Chen
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Correspondence to Huan He.

Data availability statement

Data availability statement

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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He, H., Shao, H., He, C. et al. Study on the band gap optimization and defect state of two-dimensional honeycomb phononic crystals. Journal of Materials Research 35, 3021–3030 (2020). https://doi.org/10.1557/jmr.2020.247

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