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Low frequency phononic band structures in two-dimensional arc-shaped phononic crystals
Authors:Zhenlong Xu  Fugen Wu  Zhongning Guo
Institution:1. Faculty of Electro Mechanical Engineering, Guangdong University of Technology, Guangzhou, 510006, China;2. Meizhouwan Vocational Technology College, Putian, 351254, China;3. Department of Experiment Education, Guangdong University of Technology, Guangzhou, 510006, China
Abstract:The low frequency phononic band structures of two-dimensional arc-shaped phononic crystals (APCs) were studied by the transfer matrix method in cylindrical coordinates. The results showed the first phononic band gaps (PBGs) of APCs from zero Hz with low modes. Locally resonant (LR) gaps were obtained with higher-order rotation symmetry, due to LR frequencies corresponding to the speeds of acoustic waves in the materials. These properties can be efficiently used in a structure for low frequencies that are forbidden, or in a device that permits a narrow window of frequencies.
Keywords:Phononic band gap  Phononic crystals  Local resonant
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