Sub-wavelength scale acoustic metamaterial based on Peano fractal

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (23) : 241-248.

WU Guanghua, KE Yi-bo, ZHANG Lin, TAO Meng

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Abstract

Inspired by Peano fractal curves, a new type of two-dimensional fractal structure on the sub-wavelength scale is constructed, which has negative mass density and bulk modulus in specific frequency ranges. The S-parameter method and transfer matrix method are used for calculating effective mass density and bulk modulus. Based on the finite element method, the sound modulation characteristics of the fractal structure in specific frequency ranges are studied, such as density-near-zero transmission, acoustic cloaking, sound tunneling, and wavefront shaping. The corresponding relationship between the acoustic characteristics and the frequency of peak transmission coefficient for fractal structure is analyzed. Based on the 3D printing technology, the structure sample is fabricated. The transmission coefficient measured by the experiment is in good agreement with the calculated results, which shows the effectiveness of the analysis method. The results show that the designed metamaterial has novel acoustic parameters and multiple band gaps within [0, 1600] Hz, which can be used for filtering and sound modulation at the low-frequency band.
Key words: Fractal structure; Sound modulation; Bandgap; Density-near-zero transmission; Acoustic cloaking

Key words

Fractal structure / Sound modulation / Bandgap / Density-near-zero transmission / Acoustic cloaking

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WU Guanghua, KE Yi-bo, ZHANG Lin, TAO Meng. Sub-wavelength scale acoustic metamaterial based on Peano fractal[J]. Journal of Vibration and Shock, 2022, 41(23): 241-248

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