Applied Mathematics and Mechanics (English Edition) ›› 2020, Vol. 41 ›› Issue (2): 279-288.doi: https://doi.org/10.1007/s10483-020-2568-7

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Merging phononic crystals and acoustic black holes

Xiaofei LYU1, Qian DING1,2, Tianzhi YANG1,2   

  1. 1. Department of Mechanics, Tianjin University, Tianjin 300350, China;
    2. Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin 300350, China
  • Received:2019-08-17 Revised:2019-11-18 Published:2020-01-03
  • Contact: Tianzhi YANG E-mail:yangtz@tju.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Nos. 51575378, 11972245, and 11672187)

Abstract: Phononic crystals (PCs) have recently been developed as effective components for vibration suppression and sound absorption. As a typical design of PCs, wave attenuation occurs in the so-called stop-band. However, the structural response is still significantly large in the pass-band. In this paper, we combine PCs and acoustic black holes (ABHs) in a unique device, achieving a versatile device that can attenuate vibration in the stop-band, while suppress vibration in the pass-band. This approach provides a versatile platform for controlling vibration in a multiband with a simple design.

Key words: acoustic black hole (ABH), phononic crystal (PC), transfer matrix method (TMM)

2010 MSC Number: 

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