基于基尔霍夫板理论的表面不规则纳米板振动分析

IF 3.1 3区 材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY
M. Selim, T. Nofal
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引用次数: 4

摘要

在这项工作中,尝试应用基尔霍夫板理论来找出含有表面不规则效应的纳米板的振动分析。表面不规则性对纳米材料,特别是纳米板固有振动频率的影响尚未被研究过,以往的研究大多是针对规则纳米板进行的。因此,必须强调的是,不规则纳米板的振动是新颖的,适用于纳米复合材料中以纳米板为主结构的纳米器件。假设纳米板表面的不规则性呈抛物线形式。导出了一种新的运动方程和频率方程。所得结果较好地反映了不规则纳米片的振动特性。已经观察到,表面不规则性的存在对振动纳米片的固有频率有很大影响。此外,纳米板的固有频率随表面不规则性参数的增大而减小。最后,本文的研究结果可以为设计振荡器和纳米级器件提供有用的参考,在这些器件中,纳米板作为最常见的纳米复合材料结构元件的结构部件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Vibrational analysis of nanoplate with surface irregularity via Kirchhoff plate theory
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.
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来源期刊
Nanomaterials and Nanotechnology
Nanomaterials and Nanotechnology NANOSCIENCE & NANOTECHNOLOGY-MATERIALS SCIENCE, MULTIDISCIPLINARY
CiteScore
7.20
自引率
21.60%
发文量
13
审稿时长
15 weeks
期刊介绍: Nanomaterials and Nanotechnology is a JCR ranked, peer-reviewed open access journal addressed to a cross-disciplinary readership including scientists, researchers and professionals in both academia and industry with an interest in nanoscience and nanotechnology. The scope comprises (but is not limited to) the fundamental aspects and applications of nanoscience and nanotechnology
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