Study on Sound Insulation Characteristics of Two-dimensional Phononic CrystalThin Plate
CHEN Longfei1, YOU Shihui2, ZHAO Xiaoying3
1 College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, China; 2 School of Electrical Engineering, Zaozhuang University, Zaozhuang 277160, China; 3 School of Economics,Moscow University, Moscow 119234, Russia
Abstract: Atwo-dimensional planar phononic crystal plate was constructed with a magneto-rheological elastomer as the base material and an aluminum cylinder as the scatterer. Based on the band theory of phononic crystal, the sound insulation characteristics of thin plate were studied. Combined with the plane wave expansion method, the band structure of phononic crystal was calculated and verified by the simulation results of finite element method. The influence of elastic modulus of base material, shape of scatterer on band structure of phononic crystal was discussed. The results show that the starting-stopping frequency and gap width are closely related to the shape of the scatterer. With the increase of the number of edges, both the starting and stopping frequency and width of the band gap tend to be stable. When the number of edges is infinite, its value is the same as that of the cylindrical scatterer. As the elastic modulus of the base material decreases, both starting and stopping frequency and width of the band gap decrease, and the whole band gap moves towards the low-frequency direction. The generation of band gaps in phononic crystal is quite complicated, and it is often caused by the interaction of various mechanisms. This study can provide some new ideas for the research of acoustic material, and has a broad application prospect in intelligent sound insulation.
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2020, Vol. 34 
