Complete delocalization in a defective periodic structure
Complete delocalization in a defective periodic structure
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有缺陷的周期结构中的完全离域
DOI：
10.1103/physreve.96.042219
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发表时间：
2017
影响因子：
2.4
通讯作者：
Daraio, Chiara
中科院分区：
文献类型：
--
作者：
Yousefzadeh, Behrooz;Daraio, Chiara
我们报告了非线性缺陷周期结构中存在稳定的、完全离域的响应机制。在这种完全离域的状态下，尽管存在缺陷，系统仍表现出所有单元具有相同幅度的同相振荡。这种缺陷带来的定位的消除可能发生在系统的自由响应和强制响应中。在没有外部驱动的情况下，局部缺陷模式在一定的能级上变得完全离域。在阻尼驱动系统的情况下，如果驱动幅度超过某个阈值，则可以实现完全离域。我们在线性周期结构中以数字方式证明了这种现象，该结构具有一个和两个具有非线性恢复力的缺陷单元。我们推导了完全离域化开始的封闭式解析表达式，并讨论了其发生的必要条件。
We report on the existence of stable, completely delocalized response regimes in a nonlinear defective periodic structure. In this state of complete delocalization, despite the presence of the defect, the system exhibits in-phase oscillation of all units with the same amplitude. This elimination of defect-borne localization may occur in both the free and forced responses of the system. In the absence of external driving, the localized defect mode becomes completely delocalized at a certain energy level. In the case of a damped-driven system, complete delocalization may be realized if the driving amplitude is beyond a certain threshold. We demonstrate this phenomenon numerically in a linear periodic structure with one and two defective units possessing a nonlinear restoring force. We derive closed-form analytical expressions for the onset of complete delocalization, and we discuss the necessary conditions for its occurrence.