二维局域共振周期格栅结构的低频振动带隙特性研究

摘要/Abstract

摘要： 为了解决周期格栅结构在低频领域的振动问题,基于局域共振机理,本文设计了一种新型复合二维周期格栅结构,结合有限元方法对结构的带隙机理及低频共振带隙特性进行了分析和研究,并在此基础上对结构进行优化设计。分析发现,仅对包覆层结构进行优化,便可大幅降低带隙的起始频率。带隙的位置由对应局域共振模态的固有频率决定,通过改变结构的材料和尺寸参数可以将带隙调节到满足实际工程应用的范围。数值仿真结果与试验测试结果一致,该结构可在40~90 Hz的低频范围打开宽度50 Hz的完全带隙,最大振动衰减达到36 dB。这种结构设计为周期格栅结构获得低频、超低频带隙提供了一种有效的方法,具有潜在的应用前景。

关键词: 二维周期格栅, 局域共振, 低频带隙, 声子晶体, 结构优化, 减振降噪

Abstract: In order to solve the vibration problem of periodic lattices structure in the low-frequency field, based on the local resonance mechanism, a new composite two-dimensional periodic lattices structure was designed in this paper. The band gap mechanism of the structure and the band gap characteristics of low-frequency resonance were analyzed and studied by combining the finite element method. It is found that the initiation frequency of the band gap can be greatly reduced by optimizing the structure of the coating. The position of the band gap is determined by the natural frequency of the corresponding local resonance mode. The band gap can be adjusted to the range of meeting the practical engineering application by changing the material and size parameters of the structure. The numerical simulation results are consistent with the test results. The structure can open the full band gap of 50 Hz in the low frequency range from 40 Hz to 90 Hz, and the maximum vibration attenuation reaches 36 dB. This structure provides an effective method for obtaining low frequency and ultra-low frequency band gap of periodic lattices structure, and has potential application prospects.

Key words: two-dimensional periodic lattice, local resonance, low frequency band gap, phononic crystal, structural optimization, vibration and noise reduction

中图分类号:

TB535

李文博, 章桥新. 二维局域共振周期格栅结构的低频振动带隙特性研究[J]. 人工晶体学报, 2023, 52(6): 1100-1109.

LI Wenbo, ZHANG Qiaoxin. Low-Frequency Vibration Band Gap Characteristics of Two-Dimensional Local Resonant Periodic Lattices Structure[J]. JOURNAL OF SYNTHETIC CRYSTALS, 2023, 52(6): 1100-1109.

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