Metadamping：耗散超材料中的一种涌现现象
Metadamping: An emergent phenomenon in dissipative metamaterials
摘要：
从理论上论证了耗散异向介质中异向变形的概念。我们考虑一个无限的质量弹簧链重复本地谐振器和一个静态等效的周期链，其波的传播特性是基于布拉格散射。对于每个系统，我们引入相同的粘性阻尼（阻尼器）元素，并比较与所有布洛赫模式相关的阻尼比。我们发现，局部共振的超材料表现出更高的整体耗散，这表明阻尼出现的现象，由于局部共振的存在。最后，我们通过量化作为介质中声波的长波声速或静态刚度的函数的紧急阻尼的程度来结束我们的调查。
英文摘要：
We theoretically demonstrate the concept of metadamping in dissipative metamaterials. We consider an infinite mass-spring chain with repeated local resonators and a statically equivalent periodic chain whose wave propagation characteristics are based on Bragg scattering. For each system we introduce identical viscous damping (dashpot) elements and compare the damping ratio associated with all Bloch modes. We find that the locally resonant metamaterial exhibits higher dissipation overall which indicates a damping emergence phenomena due to the presence of local resonance. We conclude our investigation by quantifying the degree of emergent damping as a function of the long-wave speed of sound in the medium or the static stiffness.
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