Traveling Waves for the Mass in Mass Model of Granular Chains
Traveling Waves for the Mass in Mass Model of Granular Chains
复制标题
粒状链质量模型中质量的行波
DOI：
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发表时间：
2015
影响因子：
1.2
通讯作者：
Haitao Xu
中科院分区：
文献类型：
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作者：
P. Kevrekidis;A. Stefanov;Haitao Xu
在目前的工作中，我们考虑的质量质量（或质量与质量）系统的颗粒链，即，一个颗粒链涉及额外的内部（或，分别，外部）谐振器。对于这些链，我们严格地建立，在适当的“反共振”条件下连接谐振器的质量和波的速度，钟形行波解继续存在于系统中，在某种程度上让人想起的结果证明了标准的弹性赫兹接触颗粒链。我们还数值上触及的设置，条件不成立，说明，也符合最近的实验工作，非单调波轴承非零尾巴可能存在于后一种情况下。
In the present work, we consider the mass in mass (or mass with mass) system of granular chains, namely, a granular chain involving additionally an internal (or, respectively, external) resonator. For these chains, we rigorously establish that under suitable “anti-resonance” conditions connecting the mass of the resonator and the speed of the wave, bell-shaped traveling-wave solutions continue to exist in the system, in a way reminiscent of the results proven for the standard granular chain of elastic Hertzian contacts. We also numerically touch upon settings, where the conditions do not hold, illustrating, in line also with recent experimental work, that non-monotonic waves bearing non-vanishing tails may exist in the latter case.