双层超材料板的弯曲波超低频带隙特性研究  

Ultralow frequency band gaps of flexural wave in metamaterial bipanel

作　　者：肖伟民 李禹昕 户文成 李贤徽 聂京凯 石磊[5] 张潇 赵寰宇[2,3] XIAO Weimin;LI Yuxin;HU Wencheng;LI Xianhui;NIE Jingkai;SHI Lei;ZHANG Xiao;ZHAO Huanyu(Institute of Urban Safety and Environment Science,Beijing Academy of Science and Technology,Beijing 100054,China;Institute of Engineering Mechanics,Beijing Jiaotong University,Beijing 100044,China;School of Science,Inner Mongolia University of Technology,Huhhot 010051,China;State Grid Smart Grid Research Institute Co.,Ltd.,Beijing 100031,China;State Grid Beijing Electric Power Company,Beijing 100075,China)

机构地区：[1]北京市科学技术研究院城市安全与环境科学研究所,北京100054 [2]北京交通大学工程力学研究所,北京100044 [3]内蒙古工业大学理学院力学系,呼和浩特010051 [4]国网智能电网研究院有限公司,北京100031 [5]国网北京市电力公司,北京100075

出　　处：《功能材料》2023年第2期2146-2152,共7页Journal of Functional Materials

基　　金：国家自然科学基金项目(11302021);国家电网科技基金项目(5500-202058312A-0-0-00)。

摘　　要：针对局域共振型双层超材料板,利用有限元法研究了几何参数与材料组分参数对弯曲波带隙的影响。通过优化计算得到较合理的参数,进而设计了附加钢质量块的ABSPMMA材料双层板,结果表明其在亚波长尺寸可以打开超低频54-65 Hz弯曲波带隙。将该超材料板建立等效弹簧质量系统,求解等效动态质量的负密度频率段与弯曲波带隙宽度很好地一致,并进一步阐述带隙产生机理。考虑板的隔声性能,分析了不同声波入射角对传声损失的影响,在带隙频率范围内的57 Hz点传声损失(STL)幅值均能取得最大值,这表明超低频带隙能够起到良好减振降噪效果,由此显示这种新型双层超材料板在工程领域具有广泛的应用。For the locally resonant metamaterial bipanels,the effects of geometric parameters and component material parameters on the flexural wave band gap were investigated by using the finite element method(FEM).According to the optimized parameters,a flexural wave bandgap of the ABSPMMA polymer bipanels with the steel mass blocks is obtained in the range of 54 Hz to 65 Hz at a sub-wavelength size.Based on the established equivalent spring-mass system of metamaterial bipanels,we calculate the equivalent dynamic mass and thus get the frequency range with negative density which is in good agreement with the flexural wave bandgap,while elaborating bandgap mechanism with resance block.Considering the sound insulation performance of the bipanels,the maximum values of sound transmission loss(STL)can be achieved at the frequency 57 Hz of bandgap domain for different acoustic-wave incident angles.It is shown that the original metamaterial panels can carry out the controlling vibration and noise reduction in ultralow frequency range to posses wide potential application in the engineering field.

关 键 词：双层超材料板 局域共振 超低频带隙 隔声性能 

分 类 号：TB125[理学—工程力学] TB53[理学—力学]