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二维自相似分形Mie共振结构鲁棒性研究

Research on Robustness of The Two-Dimensional Self-Similar Fractal Mie Resonance Structure

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【作者】 刘金聚肖伯雅刘宇陈猛王育人

【Author】 LIU Jin-ju;XIAO Bo-ya;LIU Yu;CHEN Meng;WANG Yu-ren;University of Chinese Academy of Sciences;National Key Laboratory of Microgravity,Institute of Mechanics, Chinese Academy of Sciences;

【机构】 中国科学院大学中国科学院力学研究所微重力重点实验室

【摘要】 自相似分形结构作为一种典型的空间折叠构型,能够有效延长声波传输路径,具有较好的低频、宽频声学特性。本文以具有曲线通道的二维自相似分形结构为基础,设计了具有亚波长尺度的Mie共振结构,构建了传输损失仿真分析模型,通过研究水平、垂直位移及旋转角度等参数变化对结构单元传输特性的影响,模拟结构在复杂环境中受到扰动时,Mie共振结构的隔声性能。研究发现在0Hz-1200Hz的频率范围内,结构单元发生轻微偏移时,传输特性曲线仍能吻合较好,表明Mie共振分形结构具有良好的鲁棒性,可以在复杂工况下较为稳定的实现声波控制。

【Abstract】 As a typical spatial folding configuration, self-similar fractal structure can effectively extend the transmission path of sound waves, and has good acoustic characteristics of low frequency and wide frequency. Based on the two-dimensional self-similar fractal structure with curved channels in this paper, Mie resonance structure with sub-wavelength scale are designed and the transmission loss simulation model is constructed. By studying the influence of horizontal, vertical displacement and rotation Angle on the transmission characteristics of the Mie resonance structure, the sound insulation performance of the Mie resonance structure is simulated when the structure is disturbed in a complex environment. According to the calculation results,the transmission characteristic curves of the three structures agree well when the structural elements are slightly offset in the frequency range of 0Hz-1200Hz. The results show that Mie resonance fractal structure has good robustness, and can realize sound wave control stably under complex working conditions.

【基金】 国家自然科学基金项目(11972034)
  • 【会议录名称】 第十九届船舶水下噪声学术讨论会论文集(下册)
  • 【会议名称】第十九届船舶水下噪声学术讨论会
  • 【会议时间】2023-08-10
  • 【会议地点】中国黑龙江哈尔滨
  • 【分类号】O42
  • 【主办单位】中国造船工程学会船舶振动噪声重点实验室
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