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Strain Induced Low Frequency Broad Bandgap Tuning of the Multiple Re-entrant Star-Shaped Honeycomb with Negative Poisson’s Ratio

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Abstract

Purpose

To date, endowing the honeycomb metamaterial with tunable low frequency broad bandgaps is still a challenging task. This work provides a new strategy for the design of metamaterial for low frequency and broad bandgaps in the fields of vibration and noise reduction.

Methods

In this work, a novel multiple re-entrant star-shaped honeycomb (MRSSH) with tunable negative Poisson’s ratio (NPR) and bandgaps is proposed. The band structures are obtained through scanning the Bloch wave vector along the IBZ boundary. Formation mechanics of the bandgaps, influences of geometry parameters on the bandgap distribution and effective bandgap width are also investigated. In addition, the external uniaxial and equibiaxial strains are introduced to the MRSSH in order to explore tunability of bandgaps.

Results

The results show that the proposed MRSSH could achieve low frequency broad bandgaps by designing the geometry parameters rationally. By introducing external deformation, the bandgaps are narrowed or broadened, which shows the tunability of bandgaps. To verify the correctness of calculated bandgaps, the vibration transmission of the supercell structure with the core of finite-sized MRSSH is explored.

Conclusion

The proposed MRSSH can obtain low frequency broad bandgaps by changing the geometry parameters. Research of this paper provides a new method for design of acoustic metamaterials for low frequency vibration and noise reduction.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (11702079).

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Authors and Affiliations

  1. School of Mechanical Engineering, National Engineering Research Center for Technological Innovation Method and Tool, Hebei University of Technology, Tianjin, 300401, People’s Republic of China

    Fuguang Ren & Haitao Liu

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  1. Fuguang Ren
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  2. Haitao Liu
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Correspondence to Haitao Liu.

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Ren, F., Liu, H. Strain Induced Low Frequency Broad Bandgap Tuning of the Multiple Re-entrant Star-Shaped Honeycomb with Negative Poisson’s Ratio. J. Vib. Eng. Technol. 10, 3157–3168 (2022). https://doi.org/10.1007/s42417-022-00547-3

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  • DOI: https://doi.org/10.1007/s42417-022-00547-3

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