双侧亥姆霍兹声学超材料带隙特性  

Band gap characteristics of bilateral Helmholtz acoustic metamaterial

作　　者：孙维鹏[1] 沈名钊 钟可欣 刘园园 赵道利[1] SUN Weipeng;SHEN Mingzhao;ZHONG Kexin;LIU Yuanyuan;ZHAO Daoli(State Key Lab of Eco-hydraulics in Northwest Arid Region,Xi’an University of Technology,Xi’an 710048,China)

机构地区：[1]西安理工大学省部共建西北旱区生态水利国家重点实验室,西安710048

出　　处：《振动与冲击》2023年第23期144-150,158,共8页Journal of Vibration and Shock

基　　金：国家自然科学青年基金(52209115);国家自然科学基金面上项目(52179089)。

摘　　要：为了有效抑制低频噪声并拓宽低频带隙,设计了一种具有低频宽带的双侧亥姆霍兹声学超材料。通过有限元法对系统能带结构和传输谱进行计算;通过能带结构上各点振动模态对带隙形成机理进行分析;运用弹簧质量模型计算等效带隙频率,并探究了结构参数对带隙的影响。结果表明:通过改变结构参数可实现带隙超车现象,在亥姆霍兹谐振腔材料为钨,其壁厚和高度分别为1.0 mm、6.0 mm,包覆层半径为4.6 mm,基板厚度为1.0 mm时,模型的带隙起始频率为195.8 Hz。在此参数下,第一完全带隙宽度拓宽至758.1 Hz。所设计的双侧亥姆霍兹声学超材料能够为低频噪声控制提供参考。Here,to effectively suppress low-frequency noise and broaden low-frequency band gap,a double-sided Helmholtz acoustic metamaterial with low-frequency broadband was designed.Energy band structure and transmission spectrum of the system were calculated with finite element method.The mechanism of band gap formation was analyzed using vibration modes of various points on the energy band structure.Spring-mass model was used to calculate equivalent band gap frequency and effects of structural parameters on band gap were explored.The results showed that band gap overtaking phenomenon can be realized by changing structural parameters;when Helmholtz resonator cavity material is tungsten,its wall thickness and height are 1.0 mm and 6.0 mm,its cladding radius is 4.6 mm,and its substrate thickness is 1.0 mm,the band gap starting frequency of the model is 195.8 Hz,under these parameters,the first full band gap width can be widened to 758.1 Hz;the designed bilateral Helmholtz acoustic metamaterial can provide a reference for low-frequency noise control.

关 键 词：声学超材料(AMM) 亥姆霍兹谐振腔(HRC) 局域共振 低频宽带 

分 类 号：O735[理学—晶体学]