Elastic wave propagation in locally resonant sonic material: Comparison between local interaction simulation approach and modal analysis

Elastic wave propagation in locally resonant sonic material: Comparison between local interaction simulation approach and modal analysis
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DOI:
10.1063/1.2208528
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发表时间:
2006-06-15
影响因子:
3.2
通讯作者:
Matic, Peter
Matic, Peter
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Hirsekorn, Martin;Delsanto, Pier Paolo;Matic, Peter

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由于弹性波的共振散射,局部共振声波材料在可听频率范围内表现出强的声衰减带。我们比较了一个单一的谐振单元的有限元模态分析的结果与从波传播模拟的基础上获得的局部相互作用模拟方法的声衰减谱。模态分析产生所有共振模式的完整预测,包括关于节点位置、模式退化和由于几何对称性而不衰减声音的模式的信息。椭圆形而不是圆形夹杂物打破了谐振器的几何对称性,将简并模式的衰减峰分裂成单独的峰。由于衰减峰的不对称形状以及共振散射和自由传播波之间的干扰,在共振频率和最大声衰减的频率之间观察到小的频移。(c)2006年,美国物理学会。
Locally resonant sonic materials exhibit strong sound attenuation bands in the audible frequency range due to resonance scattering of elastic waves. We compare the results of a finite element modal analysis of a single resonant unit with sound attenuation spectra obtained from wave propagation simulations based on the local interaction simulation approach. The modal analysis yields a complete prediction of all resonance modes including information on node locations, mode degeneration, and modes that do not attenuate sound due to geometrical symmetries. Elliptical instead of circular inclusions break the geometric symmetry of the resonators, splitting the attenuation peak of degenerate modes into separate peaks. A small frequency shift is observed between the resonance frequencies and the frequencies of maximum sound attenuation, due to the asymmetric shape of the attenuation peaks and interference between resonance scattering and free propagating waves. (c) 2006 American Institute of Physics.