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

作　　者：陈圣兵 温激鸿 王刚 温熙森 

机构地区：[1]Laboratory of Science and Technology on Integrated Logistics Support,National University of Defense Technology [2]Key Laboratory of Photonic and Phononic Crystal of Ministry of Education,National University of Defense Technology

出　　处：《Chinese Physics B》2013年第7期262-266,共5页中国物理B（英文版）

基　　金：the National Natural Science Foundation of China(Grant Nos.50905182 and 51175501)

摘　　要：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.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.

关 键 词：piezoelectric shunting METAMATERIAL phononic band gaps 

分 类 号：R575.2[医药卫生—消化系统]