侧向局域共振超构板声振特性  

Vibro-acoustic performance of acoustic metamaterial plate with periodic lateral local resonator

作　　者：郭志巍[1] 郭寒贝 王婷 Guo Zhi-Wei;Guo Han-Bei;Wang Ting(School of Marine Science and Technology,Northwestern Polytechnical University,Xi’an 710072,China;The Second Ship-Designing Institute of Wuhan,Wuhan 430064,China;School of Naval Architecture and Ocean Engineering,Huazhong University of Science and Technology,Wuhan 430074,China)

机构地区：[1]西北工业大学航海学院,西安710072 [2]武汉第二船舶设计研究院,武汉430064 [3]华中科技大学船舶与海洋工程学院,武汉430074

出　　处：《物理学报》2021年第21期138-146,共9页Acta Physica Sinica

基　　金：国家自然科学基金青年科学基金(批准号:52001131);中央高校基本科研业务费专项资金(批准号:3102020HHZY030008)资助的课题。

摘　　要：以侧向局域共振超构板为研究对象,基于布洛赫定理及弯曲波传播理论,建立了侧向局域共振超构板的振动响应、声辐射功率及辐射效率理论计算模型,同时建立了侧向局域共振超构板的有限元模型以验证理论模型的有效性.进一步开展了有/无周期附加侧向局域共振结构超构板的模态分析,探索了侧向局域共振超构板辐射声功率及辐射效率随频率变化的关系.结果表明,侧向局域共振超构板在两条特定频段(带隙)内的板面均方振速及辐射声功率远低于均匀平板,而辐射效率却高于均匀平板.本研究可为推进侧向局域共振超构板在减振降噪领域的工程应用奠定理论基础.Based on the Bloch theory and the flexural wave propagation theorem,the model for calculating the vibration response,sound radiation power and radiation efficiency of an acoustic metamaterial plate is established.The modal analysis of a bare pate and the plate attached to periodical lateral local resonators are developed to investigate the vibration regulation.In addition,the patterns of the sound radiation power and radiation efficiency of the plate attached to periodical lateral local resonators versus frequency are studied.The results show that 1)in a specific frequency range,the mean square velocity and the sound radiation power are far lower than those of the bare plate,which is due to the resonance of the lateral local resonator;2)unlike the vibration response and sound radiation power,the radiation efficiency of the plate attached to periodical lateral local resonator is higher than that of the bare plate.The investigation of the plate attached to lateral local resonator in this paper lays a solid foundation for the practical engineering in the field of vibration suppression and noise reduction.

关 键 词：侧向局域共振超构板 板面均方振速 辐射声功率 带隙 

分 类 号：TB535[理学—物理]