Dynamics of circular oscillator arrays subjected to noise
Dynamics of circular oscillator arrays subjected to noise
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受噪声影响的圆形振荡器阵列的动力学
DOI：
10.1007/s11071-021-07165-w
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发表时间：
2022
影响因子：
5.6
通讯作者：
and Yorke, J.
中科院分区：
文献类型：
--
作者：
Balachandran, B.;Breunung, T.;Acar, G.;Alofi, A.;and Yorke, J.
能量局域化是一种空间受限的响应模式，已经在涡轮机械应用、微机电系统和原子晶体中被观察到。虽然有限的能量会减少设备的寿命，但在传感和能量收集应用中，将系统的响应引导到局部模式是有益的。在早期研究的基础上，在本文中，作者扩展了局部化的研究，考虑了一组耦合的Duffing振荡器排列在一个圆圈中。该系统由多个非线性振子组成，每个振子通过弹簧与相邻的两个振子相连。由于周期性的边界条件，波可以通过边界传播。这些振子在大多数考虑的情况下硬化，而在其他情况下软化。在研究的参数范围内，系统具有多稳定行为、局域模式和非均匀低幅运动并存的特点。研究了白噪声将系统响应从局域模式驱动到低幅值模式从而抑制能量局域化的可能性。在不同噪声水平下，数值研究了停止能量局部化所需的持续时间以及在一定时间内抑制局部化的概率。此外，还深入研究了振子之间的线性耦合和非线性耦合对局部化强度和抑制能量局部化所需的最小噪声的影响。此外，还研究了包含较小子系统的大阵列动力学建模，并考虑了非高斯噪声的动力学。
Energy localization, which are spatially confined response patterns, have been observed in turbomachinery applications, micro-electromechanical systems, and atomic crystals. While confined energy can reduce a device’s life-span, in sensing and energy harvesting applications, it can be beneficial to steer a system’s response into a localized mode. Building on earlier studies, in this article, the authors extend the research on localization by considering an array of coupled Duffing oscillators arranged in a circle. The system is composed of multiple nonlinear oscillators each connected to two neighboring oscillators via springs. Due to the periodic boundary conditions waves can propagate through the boundaries. These oscillators are hardening in most of the considered cases, and softening in the others. In the studied parameter range, the system is characterized by multi-stable behavior and a localized mode as well as a unison-low-amplitude motion coexist. The possibility that white noise can drive the system response from the localized mode to the low amplitude mode and thus suppresses energy localization is investigated. For different noise levels, the duration needed to stop energy localization as well as the probability to suppress localization within a certain time is numerically studied. In addition, the effects of linear coupling and nonlinear coupling between the oscillators on the strength of localization and the minimum noise addition needed to suppress energy localization are examined in depth. Moreover, modeling of large array dynamics with smaller subsystems is explored and dynamics with non-Gaussian noise is also considered.
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振荡器阵列中受噪声影响的瞬态能量局部化
DOI：
10.1587/nolta.4.232
发表时间：
2014
期刊：
Nonlinear Theory and Its Applications, IEICE
影响因子：
--
作者：
E. Perkins;Christopher C. Chabalko;B. Balachandran
通讯作者：
B. Balachandran
影响因子：
4.7
作者：
B. Niedergesäß;A. Papangelo;A. Grolet;A. Vizzaccaro;F. Fontanela;L. Salles;A. Sievers;N. Hoffmann
通讯作者：
B. Niedergesäß;A. Papangelo;A. Grolet;A. Vizzaccaro;F. Fontanela;L. Salles;A. Sievers;N. Hoffmann
影响因子：
2
作者：
Dick, Andrew J.;Balachandran, Balakumar;Mote, C. Daniel, Jr.
通讯作者：
Mote, C. Daniel, Jr.
影响因子：
4.7
作者：
A. Papangelo;F. Fontanela;A. Grolet;M. Ciavarella;N. Hoffmann
通讯作者：
A. Papangelo;F. Fontanela;A. Grolet;M. Ciavarella;N. Hoffmann
主动非线性耦合梁稳态局域化实验研究
影响因子：
3
作者：
M. King;J. Aubrecht;A. Vakakis
通讯作者：
A. Vakakis