Nonlinear low-to-high-frequency energy cascades in diatomic granular crystals
Nonlinear low-to-high-frequency energy cascades in diatomic granular crystals
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DOI：
10.1103/physreve.92.062201
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发表时间：
2015-12-04
影响因子：
2.4
通讯作者：
Vakakis, A. F.
中科院分区：
文献类型：
--
作者：
Kim, E.;Chaunsali, R.;Vakakis, A. F.
研究了在冲击载荷作用下，波在强非线性一维双原子颗粒晶体中的传播。根据“轻”珠与“重”珠的质量比，该系统表现出丰富的波动动力学，从高度局域行波到具有强衰减的高色散波。我们通过实验证明了粒子的非线性共振和反共振相互作用，并验证了非线性共振导致强波衰减，从而在不依赖于材料阻尼的情况下实现高效的非线性能量级联。在这个过程中，机械能从低频转移到高频，而传播波通过独特的空间级联以有序和混沌波形出现。这种从低频到高频和波数的能量传递机制对于设计具有固有被动能量再分配特性的新型非线性声学超材料具有特殊意义。
We study wave propagation in strongly nonlinear one-dimensional diatomic granular crystals under an impact load. Depending on the mass ratio of the "light" to "heavy" beads, this system exhibits rich wave dynamics from highly localized traveling waves to highly dispersive waves featuring strong attenuation. We demonstrate experimentally the nonlinear resonant and antiresonant interactions of particles, and we verify that the nonlinear resonance results in strong wave attenuation, leading to highly efficient nonlinear energy cascading without relying on material damping. In this process, mechanical energy is transferred from low to high frequencies, while propagating waves emerge in both ordered and chaotic waveforms via a distinctive spatial cascading. This energy transfer mechanism from lower to higher frequencies and wave numbers is of particular significance toward the design of novel nonlinear acoustic metamaterials with inherently passive energy redistribution properties.