论文标题

远距离订单bragg散射及其对penrose样语音晶体板的动态响应的影响

Long-range order Bragg scattering and its effect on the dynamic response of a Penrose-like phononic crystal plate

论文作者

Tallarico, Domenico, Bergamini, Andrea, Van Damme, Bart

论文摘要

在本文中,我们在薄弹性板中介绍了散射和定位现象,该弹性板包含散射器的多个弹性排列。通过分析散射簇的形状因素,我们采样了相互空间,该空间显示出与非微不足道分散相关的强散射点。确定了具有非常不同动态响应的频率状态:低频的各向同性波色散,以及在较高频率下具有强烈定位效应的衰减方案。与具有相同密度的散射器密度的周期性对应物一起绘制说明性比较。新发现通过分析估计,数值有限元模拟和激光实验来证实。结果与有兴趣将语音晶体现象扩展到较低频率的研究界有关。

In this article, we present scattering and localization phenomena in a thin elastic plate comprising an aperiodic arrangement of scatterers. By analysing the form factor of the scattering cluster, we sample the reciprocal space which shows strong scattering points associated with non trivial dispersion. Wide frequency regimes with very different dynamic responses are identified: isotropic wave dispersion at low frequency, and an attenuating regime with strong localization effects at higher frequencies. Illustrative comparisons are drawn with a periodic counterpart having the same density of scatterers. The novel findings are corroborated by analytical estimates, numerical finite-element simulations and vibrometric experiments. The results are relevant for the research community interested in extending phononic crystal phenomena to lower frequencies.

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