Gaussian expansion method used in a nalysing the broadband energy harvesting characteristics of periodic acoustic black holes

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (10) : 186-195.

SONG Tingting1,2,ZHENG Ling1,2,DENG Jie1,2

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Abstract

The Acoustic Black Hole (ABH) effect is a phenomenon in which the thickness of the beam or thin plate structure is tailored according to the power law, so that the bending wave speed at the tip of the structure is reduced to zero without reflection, so that energy accumulation and efficient recovery can be realized at the end of the structure. Aiming at the problem that the structure of a single acoustic black hole is sensitive to external excitation frequency when achieving peak recovery, a broadband piezoelectric energy recovery system based on periodic acoustic black holes is proposed. First, based on the Gaussian expansion method, a semi-analytical model of acoustic black hole piezoelectric energy trapping with coupled piezoelectric layers is established, and in the frequency domain combined with energy band theory, the effects of period number, power exponent, central cut-off thickness, and black hole radius on energy recovery are analyzed. Finally, the piezoelectric energy recovery experiment verifies the effectiveness of periodic acoustic black holes for achieving broadband energy recovery. The research results show that the structural parameters of the acoustic black hole will affect the output power of the system and the collection efficiency through factors such as the number of peaks, the length of the peak interval, and the energy band structure. The analysis results have important reference value for realizing the optimal design of broadband energy recovery of periodic acoustic black hole beams.

Key words

Acoustic black hole / Piezoelectric effect / Energy harvesting / Gaussian expansion / Characteristic analysis

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SONG Tingting1,2,ZHENG Ling1,2,DENG Jie1,2. Gaussian expansion method used in a nalysing the broadband energy harvesting characteristics of periodic acoustic black holes[J]. Journal of Vibration and Shock, 2022, 41(10): 186-195

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