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首页> 外文期刊>Applied Mathematical Modelling >Stability analysis of a single-walled carbon nanotube conveying pulsating and viscous fluid with nonlocal effect
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Stability analysis of a single-walled carbon nanotube conveying pulsating and viscous fluid with nonlocal effect

机译：具有非局部效应的输送脉动和粘性流体的单壁碳纳米管的稳定性分析

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For a single-walled carbon nanotube (CNT) conveying fluid, the internal flow is considered to be pulsating and viscous, and the resulting instability and parametric resonance of the CNT are investigated by the method of averaging. The partial differential equation of motion based on the nonlocal elasticity theory is discretized by the Galerkin method and the averaging equations for the first two modes are derived. The stability regions in frequency-amplitude plane are obtained and the influences of nonlocal effect, viscosity and some system parameters on the stability of CNT are discussed in detail. The results show that decrease of nonlocal parameter and increase of viscous parameter both increase the fundamental frequency and critical flow velocity; the dynamic stability of CNT can be enhanced due to nonlocal effect; the contributions of the fluid viscosity on the stability of CNT depend on flow velocity; the axial tensile force can only influence natural frequencies of the system however the viscoelastic characteristic of materials can enhance the dynamic stability of CNT. The conclusions drawn in this paper are thought to be helpful for the vibration analysis and structural design of nanofluidic devices.
机译：对于单壁碳纳米管（CNT）输送流体，内部流动被认为是脉动和粘性的，并且通过平均方法研究了所得的CNT的不稳定性和参数共振。基于非局部弹性理论的运动偏微分方程通过Galerkin方法离散化，并推导出前两种模式的平均方程。得到了频率-振幅平面上的稳定区域，并详细讨论了非局部效应，粘度和一些系统参数对CNT稳定性的影响。结果表明，非局部参数的减小和粘性参数的增大都增加了基频和临界流速。由于非局部效应，可以增强CNT的动态稳定性。流体粘度对CNT稳定性的贡献取决于流速；轴向拉力只能影响系统的固有频率，但是材料的粘弹特性可以增强CNT的动态稳定性。本文得出的结论被认为有助于纳米流体装置的振动分析和结构设计。

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