Localization in Microresonator Arrays: Influence of Natural Frequency Tuning
Localization in Microresonator Arrays: Influence of Natural Frequency Tuning
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DOI：
10.1115/1.4000314
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发表时间：
2010-01-01
影响因子：
2
通讯作者：
Mote, C. Daniel, Jr.
中科院分区：
文献类型：
--
作者：
Dick, Andrew J.;Balachandran, Balakumar;Mote, C. Daniel, Jr.
内禀局域模是由完全周期耦合振子阵列内的内禀非线性引起的局域事件。微尺度制造技术的最新发展允许在微机电系统中研究这种现象。研究还确定了固有局域模式和强迫非线性振动模式的空间分布之间的关系，以及对相邻振荡器之间一对一和三对一的基频关系的潜在敏感性。对于所考虑的系统，一对一的频率关系被确定为研究本征局域模提供非理想条件。用解析方法和数值模拟方法研究了三对一频率关系对本征局域模行为的影响。虽然完美的调谐条件是不确定的，以产生一个独特的现象，本地化事件的数量和能量集中被发现增加的频率比，这导致在阵列内的有效耦合刚度的降低。
Intrinsic localized modes are localization events caused by intrinsic nonlinearities within an array of perfectly periodic coupled oscillators. Recent developments in microscale fabrication techniques have allowed for the studies of this phenomenon in micro-electromechanical systems. Studies have also identified a relationship between the spatial profiles of intrinsic localized modes and forced nonlinear vibration modes, as well as a potential sensitivity to fundamental frequency relationships of one-to-one and three-to-one between adjacent oscillators. For the system considered, the one-to-one frequency relationship is determined to provide nonideal conditions for studying intrinsic localized modes. The influence of the three-to-one frequency relationship on the behavior of the intrinsic localized modes is studied with analytical methods and numerical simulations by tuning the fundamental frequencies of the oscillators. While the perfect tuning condition is not determined to produce a unique phenomenon, the number and energy concentration of the localization events are found to increase with the increased frequency ratio, which results in a decrease in the effective coupling stiffness within the array.