局域共振夹芯超结构梁带隙特性及实验研究

摘要/Abstract

摘要： 本文提出了一种新型局域共振夹芯超结构梁,该结构由夹芯梁基体和由软材料包裹质量块组成的局域共振单元构成。分别采用传递矩阵法和有限元法计算了该结构的带隙分布和振动传输特性,搭建了局域共振夹芯超结构梁的振动传输测试实验平台,并与数值计算结果进行对比验证,最后分析了结构参数对结构带隙分布特性的调控规律。研究结果表明,该结构在低频范围内共出现两条弯曲波带隙,带隙频率分别为196.1~339.0 Hz和377.2~655.6 Hz。而完全带隙位于弯曲波带隙内,频率范围为380.0~423.6 Hz。且在这两条弯曲波带隙范围内,弯曲振动传输会发生明显的减弱现象。另外,局域共振夹芯超结构梁的结构参数会对带隙分布特性产生较大影响,通过合理选择结构参数,可以实现局域共振夹芯超结构梁低频率和高带宽的减振要求。

关键词: 夹芯结构, 夹芯超结构梁, 局域共振, 传递矩阵, 振动衰减, 振动带隙

Abstract: A new type of local resonance sandwich metastructure beam is proposed in this paper. The structure consists of the corrugated sandwich beam matrix and local resonance units which is composed of mass blocks wrapped by soft materials. The band gap distribution and vibration transmission characteristics of the structure are calculated by transfer matrix method and finite element method respectively. The vibration transmission test platform of the sandwich metastructure beam was built, and the test data were obtained and compared with the calculation results. Finally, the regulation strategy of the structural parameters on the band gap characteristics of the structure was studied. The results show that: there are two flexure wave band gaps in the low frequency range, and the band gap frequencies are 196.1~339.0 Hz and 377.2~655.6 Hz, respectively; a full band gap is shown in the flexure wave band gaps, and the frequency range is 380.0~423.6 Hz. Within these two band gap ranges, significant suppression of flexure vibration transmission occurs. The structural parameters of corrugated sandwich beams have great influence on the characteristics of the band gaps. The low frequency and high bandwidth vibration reduction requirements of the local resonance sandwich metastructure beam can be realized by selecting proper structural parameters.

Key words: sandwich structure, sandwich metastructure beam, local resonance, transfer matrix, vibration attenuation, vibration band gap

中图分类号:

TB34
TB535

付强, 姚飞, 张红艳. 局域共振夹芯超结构梁带隙特性及实验研究[J]. 人工晶体学报, 2024, 53(1): 65-72.

FU Qiang, YAO Fei, ZHANG Hongyan. Band Gap Characteristics and Experimental Study of Local Resonance Sandwich Metastructure Beam[J]. JOURNAL OF SYNTHETIC CRYSTALS, 2024, 53(1): 65-72.

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