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首页> 外文期刊>Applied Mathematical Modelling >Stability analysis of cantilever carbon nanotubes subjected to partially distributed tangential force and viscoelastic foundation
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Stability analysis of cantilever carbon nanotubes subjected to partially distributed tangential force and viscoelastic foundation

机译：悬臂碳纳米管在局部分布切向力和粘弹性基础下的稳定性分析

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Dynamic instability of cantilever carbon nanotubes conveying fluid embedded in viscoelastic foundation under a partially distributed tangential force is investigated based on nonlocal elasticity theory and Euler-Bernouli beam theory. The present study has incorporated the effects of nonlocal parameter, Knudsen number, surface effects and magnetic field. And two main parameters have also considered, namely partially distributed tangential force and foundation. It is assumed that viscoelastic foundation has modeled as Kelvin-Voigt, Maxwell and Standard linear solid types. The size-dependent governing equation of transverse vibration is derived using Hamilton's variational principle and discretized by the Galerkin truncation method. A detailed parameter study is carried out, indicating the stability behavior of the nanotubes. In the light of numerical results, it is shown that variables considered in nondimensional equations have significant effects on natural frequencies and flutter velocities, especially for the foundation distribution length and model as well as the partially distributed tangential force. (C) 2019 Published by Elsevier Inc.
机译：基于非局部弹性理论和Euler-Bernouli梁理论，研究了在局部分布切向力作用下，流体在黏弹性地基中埋入的悬臂式碳纳米管的动态不稳定性。本研究纳入了非局部参数，克努森数，表面效应和磁场的影响。并且还考虑了两个主要参数，即部分分布的切向力和基础。假设粘弹性基础已建模为Kelvin-Voigt，Maxwell和Standard线性实体类型。利用汉密尔顿变分原理推导了横向振动的尺寸相关控制方程，并通过加勒金截断法将其离散化。进行了详细的参数研究，表明了纳米管的稳定性。根据数值结果表明，在无量纲方程中考虑的变量对固有频率和颤动速度具有显着影响，特别是对于基础分布长度和模型以及部分分布切向力。 （C）2019由Elsevier Inc.发布

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