摘要
本文将薄膜型声学超材料结构与格栅夹层板结构相结合,发展了一种双层薄膜型超材料夹层板结构.采用有限元方法,建立薄膜型超材料夹层板结构模型,并分析其带隙产生机理.在单层薄膜型超材料夹层板结构的基础上,提出了相同质量与不同质量的双层薄膜型超材料夹层板结构,将其产生的局域共振带隙与单层薄膜型超材料夹层板结构进行对比分析.结果表明,相较于只含单层薄膜结构的夹层板,具有相同振子质量的双层薄膜型超材料夹层板结构,可以有效拓宽带隙范围.不同质量双层薄膜型超材料夹层板结构,可以增加带隙数量.如果改变“薄膜-质量”谐振器质量块的粘附位置,结构的不对称性会使双层薄膜型超材料夹层板产生多个局域共振带隙,且位置相近的带隙可能合并为较宽的带隙.
In this paper,a membrane-type metamaterial sandwich plate structure is proposed by combining the membrane-type acoustic metamaterial structure with the grid sandwich plate structure.The structural model of the membrane metamaterial sandwich plate is established by the finite element method,and the mechanism of band gap generation is analyzed.Based on the single-layer membrane-type metamaterial sandwich plate structure,double membrane-type acoustic metamaterials sandwich plate structures with the same masses and different masses are proposed,and the local resonance band gap generated by them is compared with the single-layer membrane-type metamaterial sandwich plate structure.The results show that the double membrane-type acoustic metamaterials sandwich plate structure with the same masses can effectively broaden the band gap range and the double membrane-type acoustic metamaterials sandwich plate structure with the different masses can effectively increase the number of band gaps.In addition,if the mass adhesion position of the‘film-mass’resonators with the same masses and different masses is changed respectively,the asymmetry of the structure will cause the double membrane-type acoustic metamaterials plate to produce multiple resonant band gaps,and the bandwidth generated by the resonator with the same masses does not overlap but the adjacent band gaps will be combined into a larger band gap,while the band gap width of other band gaps will be reduced.
作者
刘金辉
李金强
张垚
宋智广
Liu Jinhui;Li Jinqiang;Zhang Yao;Song Zhiguang(College of Aerospace and Civil Engineering,Harbin Engineering University,Harbin150001,China)
出处
《动力学与控制学报》
2023年第7期20-27,共8页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(12072084)。
关键词
薄膜型声学超材料
夹层板
带隙
有限元模拟
membrane-type acoustic metamaterial
sandwich plate
band gap
finite element simulation
