Tunable band gaps in acoustic metamaterials with periodic arrays of resonant shunted piezos |
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| Authors: | Chen Sheng-Bing Wen Ji-Hong Wang Gang Wen Xi-Sen |
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| Affiliation: | [1]Laboratory of Science and Technology on Integrated Logistics Support, National University of Defense Technology, Changsha 410073, China [2]Key Laboratory of Photonic and Phononic Crystal of Ministry of Education, National University of Defense Technology, Changsha 410073, China |
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| 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 the 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. |
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| Keywords: | piezoelectric shunting metamaterial phononic band gaps |
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