基于高斯展开法的周期声学黑洞宽频能量回收特性研究

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (10) : 186-195.

论文

宋婷婷1,2，郑玲1,2，邓杰1,2

作者信息 +

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

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

Author information +

文章历史 +

摘要

声学黑洞(Acoustic Black Hole, ABH)效应是遵循幂变规律对梁或薄板结构的厚度进行剪裁，使弯曲波在结构尖端波速降至为零而无法发生反射的现象，从而能够在结构末端实现能量的聚集与高效回收。针对单一声学黑洞结构在实现峰值回收时对外界激励频率敏感的问题，提出基于周期声学黑洞的宽频压电能量回收系统。首先基于高斯展开法，建立了耦合压电层的声学黑洞压电俘能半解析模型，并在频域范围内结合能带理论分析了周期数、幂指数、中心截断厚度以及黑洞半径对能量回收特性的影响，最后通过压电能量回收实验，验证了周期声学黑洞对于实现宽频能量回收的有效性。研究结果表明：声学黑洞的各结构参数会通过影响峰值个数、峰值区间长度以及能带结构等因素，对系统的输出功率以及采集效率产生影响。分析结果对实现周期声学黑洞梁的宽频能量回收优化设计具有重要的参考价值。

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.

导出引用

宋婷婷1,2，郑玲1,2，邓杰1,2. 基于高斯展开法的周期声学黑洞宽频能量回收特性研究[J]. 振动与冲击, 2022, 41(10): 186-195

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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