在弹性介质中输送流体的双壁碳纳米管悬臂的动力学和稳定性

Dynamics Pub Date : 2024-03-27 DOI:10.3390/dynamics4020013
V. Vassilev, G. Valchev
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引用次数: 0

摘要

本文涉及输送流体的双壁碳纳米管的动力学和稳定性。本研究中用于描述此类纳米管动力学的运动方程源自经典的伯努利-欧勒梁理论。为了考虑输送流体的影响、周围介质的影响以及构成双壁碳纳米管的内外单壁碳纳米管之间范德华相互作用的影响,在基本方程中加入了几个附加项。在本研究中,针对管道长度、内半径、周围介质特性和假定为恒定的流体流速的不同值,研究了所考虑的纳米管道的流动诱导振动。在临界流体流速下,嵌入弹性介质中的悬臂双壁碳纳米管将失去稳定性。
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Dynamics and Stability of Double-Walled Carbon Nanotube Cantilevers Conveying Fluid in an Elastic Medium
The paper concerns the dynamics and stability of double-walled carbon nanotubes conveying fluid. The equations of motion adopted in the current study to describe the dynamics of such nano-pipes stem from the classical Bernoulli–Euler beam theory. Several additional terms are included in the basic equations in order to take into account the influence of the conveyed fluid, the impact of the surrounding medium and the effect of the van der Waals interaction between the inner and outer single-walled carbon nanotubes constituting a double-walled one. In the present work, the flow-induced vibrations of the considered nano-pipes are studied for different values of the length of the pipe, its inner radius, the characteristics of the ambient medium and the velocity of the fluid flow, which is assumed to be constant. The critical fluid flow velocities are obtained at which such a cantilevered double-walled carbon nanotube embedded in an elastic medium loses stability.
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