局部共振声学超材料的计算设计
Computational design of locally resonant acoustic metamaterials
摘要：
所谓的局部共振声学超材料（LRAM）被认为是用于设计专门设计的设备，能够阻止波在某些频率区域（带隙）传播，这使得它们适用于隔音目的。这一事实激发了一种新型轻质隔音板的设计，该隔音板能够衰减低频范围（低于5000 Hz）的噪声源，而不需要非常致密的厚材料。基于不同的计算力学工具，即（1）一个多尺度均匀化框架，（2）模型降阶策略和（3）拓扑优化程序的设计程序。其目的是衰减声波通过面板的一组目标谐振频率，以及最大化相关的带隙。随后通过在涂层阶段引入粘弹性来研究由此产生的设计性能，以便分析它们对整体设计的影响并考虑更现实的行为。这项研究显示了计算材料设计（CMD）作为一个计算力学领域的新兴领域，具有巨大的潜力，设计基于超材料的工业声学部件。
英文摘要：
The so-called Locally Resonant Acoustic Metamaterials (LRAM) are considered for the design of specifically engineered devices capable of stopping waves from propagating in certain frequency regions (bandgaps), this making them applicable for acoustic insulation purposes. This fact has inspired the design of a new kind of lightweight acoustic insulation panels with the ability to attenuate noise sources in the low frequency range (below 5000 Hz) without requiring thick pieces of very dense materials. A design procedure based on different computational mechanics tools, namely, (1) a multiscale homogenization framework, (2) model order reduction strategies and (3) topological optimization procedures, is proposed. It aims at attenuating sound waves through the panel for a target set of resonance frequencies as well as maximizing the associated bandgaps. The resulting design's performance is later studied by introducing viscoelastic properties in the coating phase, in order to both analyse their effects on the overall design and account for more realistic behaviour. The study displays the emerging field of Computational Material Design (CMD) as a computational mechanics area with enormous potential for the design of metamaterial-based industrial acoustic parts.
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