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首页> 外文期刊>Journal of Materials Engineering and Performance >Nonlocal Analysis of Natural Vibrations of Carbon Nanotubes
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Nonlocal Analysis of Natural Vibrations of Carbon Nanotubes

机译：碳纳米管自然振动非局部分析

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When the atomic level is considered, the dynamic properties have a major influence on nanostructures behavior because of their ultrahigh or very high natural frequencies. Vibrations are essential in the analysis of resonators, oscillators, and sensors for carbon nanotube-based devices. The present paper is dedicated to the eigenfrequencies analysis of single-walled carbon nanotubes. In the analysis, the small-scale coefficient is introduced, and the nonlocal elasticity theory is applied in the modal analysis of the carbon nanotubes. The correlation between nonlocal small-scale parameter and the vibrational behavior of the carbon nanotubes is studied. The determination of nonlocal parameter is based on the structural finite element model of the nanotube. A detailed parametric study is realized to investigate the effects of the length-to-diameter ratio L/D, nonlocal coefficient, the influence of boundary conditions on eigenfrequencies of carbon nanotubes. The main contribution of this work is the evaluation of the nonlocal parameter for single-walled carbon nanotubes based on the finite element approximation in modeling the dynamic behavior instead of commonly used MD simulations. It was clearly displayed that the application of the nonlocal beam models involves analysis of the small-scale parameter, whose value determines the final eigenfrequencies. The highest values of eigenfrequencies were observed for the local beam model. It was presented that the eigenfrequencies for carbon nanotubes decrease when the nanotube length increases for all analyzed modes. On the other hand, when the diameter of carbon nanotubes increases, the eigenfrequency values rise. The numerical validation of the nonlocal parameter revealed the high dependence on the boundary conditions and the mode number. However, the influence of the mode number and the boundary conditions is vanishing for long single-walled carbon nanotubes.
机译：当考虑原子水平时，由于其超高或非常高的自然频率，动态性质对纳米结构行为具有重大影响。振动对于分析谐振器，振荡器和基于碳纳米管的装置的传感器是必不可少的。本文致力于单壁碳纳米管的特征频繁分析。在分析中，引入小规模系数，并且在碳纳米管的模态分析中应用非局部弹性理论。研究了非局部小规模参数与碳纳米管的振动行为之间的相关性。非参数的确定基于纳米管的结构有限元模型。详细的参数研究是实现了探讨长度直径比L / D，非局部系数，非局部系数，边界条件对碳纳米管特征频率的影响的影响。这项工作的主要贡献是基于在模拟动态行为而不是常用的MD模拟中的有限元近似来评估单壁碳纳米管的非峰参数。清楚地显示，非本体光束模型的应用涉及分析小规模参数，其值确定最终的特征频率。对于本地梁模型，观察到特征频率的最高值。据介绍，当纳米管长度增加所有分析的模式时，碳纳米管的特征频率降低。另一方面，当碳纳米管的直径增加时，特征频率值上升。非本地参数的数值验证显示了对边界条件和模式号的高依赖性。然而，对于长的单壁碳纳米管，模式数和边界条件的影响消失。

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