PREDICTING NANOVIBRATION OF MULTI-LAYERED GRAPHENE SHEETS EMBEDDED IN AN ELASTIC MATRIX
PREDICTING NANOVIBRATION OF MULTI-LAYERED GRAPHENE SHEETS EMBEDDED IN AN ELASTIC MATRIX
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DOI：
10.1016/j.actamat.2006.05.016
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发表时间：
2006-09
期刊：
影响因子：
9.4
通讯作者：
K. Liew;Xiaoqiao He;S. Kitipornchai
中科院分区：
文献类型：
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作者：
K. Liew;Xiaoqiao He;S. Kitipornchai
提出了一种基于连续介质的平板模型来研究嵌入在弹性基体中的多层石墨烯片（MLGS）的振动行为。推导了一组显式公式来预测嵌入弹性基体中的双层和三层石墨烯片的固有频率和相关振动模式。数值模拟进行检查的货车德瓦尔斯（vdW）的相互作用的自然频率的影响。结果表明，对于一个给定的波数（m，n）的组合，MLGS的最低固有频率是独立的vdW的相互作用，但所有其他较高的固有频率依赖于vdW的相互作用显着。研究了周围矩阵的模量对系统固有频率的影响，结果表明，系统的固有频率与周围矩阵的模量密切相关。对于低阶谐振频率，周围矩阵的影响非常小，可以忽略不计，但高阶谐振频率显著依赖于模量，因此必须考虑周围矩阵的影响。此外，MLGS系统的共振模式由vdW相互作用主导，而周围基质的模量仅略微影响片材的相对振幅比，并且不改变振动方向。
A continuum-based plate model is proposed to study the vibration behavior of multi-layered graphene sheets (MLGSs) that are embedded in an elastic matrix. A set of explicit formulas is derived to predict the natural frequencies and associated vibration modes of double-layered and triple-layered graphene sheets that are embedded in an elastic matrix. Numerical simulations are carried out to examine the effects of the van der Waals (vdW) interaction on the natural frequencies. The results show that for a given combination of wavenumbers (m, n), the lowest natural frequency of a MLGS is independent of the vdW interaction, but all of the other higher natural frequencies depend significantly on the vdW interaction. The influence of the moduli of the surrounding matrix is also investigated, and the results indicate that the classical natural frequency depends significantly on these moduli. For lower-order resonant frequencies, the effect of the surrounding matrix is very small and can be neglected, but the higher-order resonant frequencies depend significantly on the moduli, and the influence of the surrounding matrix must thus be taken into consideration. In addition, the resonance modes of a MLGS system are dominated by the vdW interaction, whereas the moduli of the surrounding matrix only slightly affect the relative amplitude ratios of the sheets and do not change the vibration direction.