Metadamping in Dissipative Metamaterials
Metadamping in Dissipative Metamaterials
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DOI：
10.1115/imece2013-66210
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发表时间：
2013-11
期刊：
影响因子：
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通讯作者：
M. Hussein;Michael J. Frazier
中科院分区：
文献类型：
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作者：
M. Hussein;Michael J. Frazier
利用布洛赫定理的推广形式，我们推导出了一个粘滞阻尼的局部谐振超材料的色散关系建模为一个无限的质量中的质量集中参数链。为了比较，我们得到了一个静态等效布拉格散射质量弹簧链，也是粘性阻尼的色散关系。对于这两个链，我们规定相同的阻尼水平的阻尼器和比较与所有传播布洛赫模式的阻尼比。我们发现，局部共振的超材料表现出较高的耗散整个频谱，这表明阻尼出现现象，由于局部共振的存在。这种现象，我们定义为metadamping，提供了一个新的范例，显示高阻尼和高刚度的材料系统的设计。我们通过量化变形程度作为介质中声波的长波速度或静态刚度的函数来结束我们的调查。Copyright © 2013 by ASME
Using a generalized form of Bloch’s theorem, we derive the dispersion relation of a viscously damped locally resonant metamaterial modeled as an infinite mass-in-mass lumped parameter chain. For comparison, we obtain the dispersion relation for a statically equivalent Bragg-scattering mass-spring chain that is also viscously damped. For the two chains, we prescribe identical damping levels in the dashpots and compare the damping ratio associated with all propagating Bloch modes. We find that the locally resonant metamaterial exhibits higher dissipation throughout the spectrum which indicates a damping emergence phenomena due to the presence of local resonance. This phenomenon, which we define as metadamping, provides a new paradigm for the design of material systems that display both high damping and high stiffness. We conclude our investigation by quantifying the degree of metadamping as a function of the long-wave speed of sound in the medium or the static stiffness.Copyright © 2013 by ASME