一种多振子软基体声子晶体板的低频带隙特性研究  

A Multivibrator Soft Matrix Phononic Crystal Plate withLow-frequency Band Gap Characteristics

作　　者：戴鸿飞 谭茂霆 DAI Hongfei;TAN Maoting(School of Mathematics and Science,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,兰州730070

出　　处：《兰州交通大学学报》2023年第4期131-137,共7页Journal of Lanzhou Jiaotong University

基　　金：兰州市科技计划项目(2021-1-140)。

摘　　要：低频噪声与振动具有波长长、穿透能力强的特点,容易对人类的生产和生活造成严重影响。针对低频噪声控制,设计了一种椭圆铅球嵌在周期孔硅橡胶基体中的声子晶体板,利用有限元方法计算了其能带结构,并讨论了低频局域共振带隙形成机理。研究了散射体的填充率、高度、旋转角度以及材料参数和预应变对声子晶体板第一带隙宽度的影响。结果表明:所设计的声子晶体板能达到低频宽带隙的特点,施加在基体板上的预拉伸应变对其第一带隙影响较小。该研究为低频减振降噪结构设计和带隙优化提供了潜在理论参考价值。Low-frequency noise and vibration have the characteristics of long wavelength and high penetration capabilities,which can easily cause serious impacts on human production and life.In this paper,a phononic crystal plate with elliptical lead spheres embedded in a silicone rubber plate containing periodic holes was designedfor low-frequency noise control.Its band structure was calculated using the finite element method,and the mechanism of the low-frequency local resonance band gap was discussed.The effects of scatterer filling rate,height,rotation angle of the scatters as well as material parameters and pre-strain on the first band gap width of the composite structure were investigated.The results show that the designed phononic crystal plate can achieve the low frequency and wide band gap,and the applied pre-strain has less effect on its first band gap.It provides a theoretical reference for the design of low-frequency vibration and noise reduction structures and band gap optimization and has potential application value.

关 键 词：声子晶体 低频 带隙优化 局域共振 

分 类 号：O481.1[理学—固体物理]