Resonance analysis of multi-layered graphene sheets used as nanoscale resonators
Resonance analysis of multi-layered graphene sheets used as nanoscale resonators
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DOI：
10.1088/0957-4484/16/10/018
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发表时间：
2005-10
期刊：
影响因子：
3.5
通讯作者：
Xiaoqiao He;S. Kitipornchai;K. Liew
中科院分区：
文献类型：
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作者：
Xiaoqiao He;S. Kitipornchai;K. Liew
提出了一种多层石墨烯片（MLGSs）的叠板振动模型，其中层间的范德华相互作用用显式公式描述。推导了预测双层和三层石墨烯片固有频率的显式公式，并清楚地表明了vdW相互作用对固有频率的影响。计算了不同层数的石墨烯片的固有频率，结果表明，对于给定的m和n组合，vdW相互作用对MLGS的最低固有频率（经典频率）没有影响，但对所有较高的固有频率（共振频率）有显著影响。与每个MLGS片的经典频率相关的振动模式是相同的。相比之下，与谐振频率相关的振动模式是不相同的，并且给出了各种振动模式，这表明mlgs非常适合用作高频谐振器。
A stacked plate model for the vibration of multi-layered graphene sheets (MLGSs), in which the van der Waals (vdW) interaction between layers is described by an explicit formula, is presented. Explicit formulae are derived for predicting the natural frequencies of double- and triple-layered graphene sheets, and they clearly indicate the effect of vdW interaction on the natural frequencies. The natural frequencies are calculated for various numbers of layered graphene sheets, and the results show that the vdW interaction has no influence on the lowest natural frequency (classical frequency) of an MLGS but plays a significant role in all higher natural frequencies (resonant frequencies) for a given combination of m and n. The vibration modes that are associated with the classical frequencies for each sheet of an MLGS are identical. In contrast, the vibration modes that are associated with the resonant frequencies are non-identical and give various vibration patterns, which indicates that MLGSs are highly suited to use as high frequency resonators.