Tunable band gaps in acoustic metamaterials with periodic arrays of resonant shunted piezos

doi:10.1088/1674-1056/22/7/074301

Abstract Periodic arrays of resonant shunted piezoelectric patches are employed to control the wave propagation in a two-dimensional (2D) acoustic metamaterial. The performance is characterized by the finite element method. More importantly, we propose an approach to solving the conventional issue of nonlinear eigenvalue problem, and give a convenient solution to the dispersion properties of 2D metamaterials with periodic arrays of resonant shunts in this article. Based on this modeling method, the dispersion relations of a 2D metamaterial with periodic arrays of resonant shunted piezos are calculated. The results show that the internal resonances of the shunting system split the dispersion curves, thereby forming a locally resonant band gap. However, unlike the conventional locally resonant gap, the vibrations in this locally resonant gap are unable to be completely localized in oscillators consisting of shunting inductors and piezo-patches.

Keywords: piezoelectric shunting metamaterial phononic band gaps

Received: 25 September 2012
Revised: 14 November 2012
Accepted manuscript online:

PACS:	43.20+g
	43.40+s
	02.60.-x	(Numerical approximation and analysis)
	77.65.-g

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 50905182 and 51175501).

Corresponding Authors: Chen Sheng-Bing
E-mail: nudt_chen@163.com

Cite this article:

Chen Sheng-Bing (陈圣兵), Wen Ji-Hong (温激鸿), Wang Gang (王刚), Wen Xi-Sen (温熙森) Tunable band gaps in acoustic metamaterials with periodic arrays of resonant shunted piezos 2013 Chin. Phys. B 22 074301

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Tunable band gaps in acoustic metamaterials with periodic arrays of resonant shunted piezos

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