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Vibrational analysis of nanoplate with surface irregularity via Kirchhoff plate theory
Nanomaterials and Nanotechnology ( IF 3.7 ) Pub Date : 2021-03-15 , DOI: 10.1177/18479804211001148
Mahmoud M Selim 1, 2 , Taher A Nofal 3
Affiliation  

In this work, an attempt is done to apply the Kirchhoff plate theory to find out the vibrational analyses of a nanoplate incorporating surface irregularity effects. The effects of surface irregularity on natural frequency of vibration of nanomaterials, especially for nanoplates, have not been investigated before, and most of the previous research have been carried for regular nanoplates. Therefore, it must be emphasized that the vibrations of irregular nanoplate are novel and applicable for the nanodevices, in which nanoplates act as the main structure of the nanocomposite. The surface irregularity is assumed in the parabolic form at the surface of the nanoplate. A novel equation of motion and frequency equation is derived. The obtained results provide a better representation of the vibration behavior of irregular nanoplates. It has been observed that the presence of surface irregularity affects considerably on the natural frequency of vibrational nanoplates. In addition, it has been seen that the natural frequency of nanoplate decreases with the increase of surface irregularity parameter. Finally, it can be said, the present results may serve as useful references for designing oscillators and nanoscale devices, in which nanoplates act as a structural component for most prevalent nanocomposites structural element.



中文翻译:

基于基尔霍夫板理论的具有表面不规则性的纳米板的振动分析

在这项工作中,尝试应用基尔霍夫板理论来发现包含表面不规则效应的纳米板的振动分析。以前没有研究过表面不规则性对纳米材料固有振动频率的影响,特别是对于纳米板,并且以前的大多数研究都是针对常规纳米板进行的。因此,必须强调的是,不规则纳米板的振动是新颖的,适用于以纳米板为纳米复合材料主要结构的纳米器件。在纳米板的表面以抛物线形式假定表面不规则。推导了一个新的运动方程和频率方程。获得的结果更好地表示了不规则纳米板的振动行为。已经观察到,表面不规则的存在对振动纳米板的固有频率有很大影响。另外,已经发现,纳米板的固有频率随着表面不规则参数的增加而降低。最后,可以说,本结果可作为设计振荡器和纳米级器件的有用参考,其中纳米板充当大多数流行的纳米复合结构元素的结构成分。

更新日期:2021-03-17
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