Breather propagation and arrest in a strongly nonlinear locally resonant lattice
Breather propagation and arrest in a strongly nonlinear locally resonant lattice
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强非线性局部谐振晶格中的呼吸传播和停止
DOI：
10.1016/j.ymssp.2022.109623
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发表时间：
2023
影响因子：
8.4
通讯作者：
Vakakis, Alexander F.
中科院分区：
文献类型：
--
作者：
Bukhari, Mohammad A.;Barry, Oumar R.;Vakakis, Alexander F.
局域共振超材料由于其能通过模式杂化形成带隙来控制低频波的特性，近年来引起了许多研究者的关注。虽然这些超材料的线性声学已经得到了广泛的探讨，只有一点是知道他们的非线性声学。本文研究了一维离散强非线性局部共振超材料在脉冲激励下的非线性声学特性。超材料被建模为一个链的线性接地质量连接的本质强非线性（纯立方非线性），并嵌入线性本地谐振器。数值研究表明，存在不同的家庭旅行呼吸器，取决于本地谐振器和它的控股细胞之间的耦合系数。其中一个家庭是首次在目前的工作中，由于存在多个快速的频率在其配置文件。虽然所研究的系统是无阻尼的，数值模拟表明，呼吸器逮捕控制的某些参数的系统。在小能级的限制下，利用复杂化平均法（CX-A）的数值观测的帮助下，演示系统的非线性声学的一些方面。特别地，解析分析用于确定系统的非线性能带结构。结果表明存在两个能量依赖的非线性传播区（PZ）（即，声学和光学）和用于无限晶格情况的三个互补衰减区（AZ）。此外，不同的家庭旅行呼吸子在半无限晶格的分析和比较，其相应的数值结果。
Locally resonant metamaterials have recently drawn the attention of many researchers due to their capability in controlling low-frequency waves by forming a bandgap resulting from mode hybridization. Although linear acoustics of these metamaterials have been extensively explored, only a little is known about their nonlinear acoustics. This work investigates the nonlinear acoustics of a 1D discrete strongly nonlinear locally resonant metamaterial under impulsive force excitation. The metamaterial is modeled as a chain of linearly grounded masses connected by essential strong nonlinearity (purely cubic nonlinearity), and embedded by linear local resonators. Numerical investigations demonstrate the existence of different families of traveling breathers that depend on the coupling coefficient between the local resonator and its holding cell. One of these families is reported for the first time in the current work due to the existence of multiple fast frequencies in its profile. Although the investigated system is undamped, numerical simulations demonstrate that the breather arrest is controlled by certain parameters of the system. In the limit of small energy levels, the complexification averaging method (CX-A) is utilized with the help of numerical observations to demonstrate some aspects of the nonlinear acoustics of the system. Particularly, analytical analysis is used to determine the nonlinear band structure of the system. The outcome indicates the presence of two energy-dependent nonlinear propagation zones (PZs) (i.e., acoustics and optical) and three complementary attenuation zones (AZs) for the infinite lattice case. In addition, the different families of traveling breathers in the semi-infinite lattice are investigated analytically and compared to their corresponding numerical results.
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影响因子：
1.2
作者：
P. Kevrekidis;A. Stefanov;Haitao Xu
通讯作者：
Haitao Xu
克莱因-戈登链中的旅行喘息者
影响因子：
0.8
作者：
Y. Sire;G. James
通讯作者：
G. James
质中质量链中的离散呼吸器与赫兹局部谐振器。
DOI：
10.1103/physreve.95.022904
发表时间：
2016
期刊：
Physical review. E
影响因子：
--
作者：
S. P. Wallen;J. Lee;D. Mei;Christopher Chong;Panos Kevrekidis;N. Boechler
通讯作者：
N. Boechler
局部共振颗粒系统中的行波及其尾部
DOI：
--
发表时间：
2014
期刊：
影响因子：
--
作者：
H. Xu;P. Kevrekidis;A. Stefanov
通讯作者：
A. Stefanov
用于旅行离散呼吸的有效哈密顿量
DOI：
--
发表时间：
2002
期刊：
影响因子：
--
作者：
R. MacKay;J. Sepulchre
通讯作者：
J. Sepulchre