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Dynamics of carbon nanotubes under thermally induced nanoparticle transport on helical tracks
Applied Mathematical Modelling ( IF 5 ) Pub Date : 2021-01-12 , DOI: 10.1016/j.apm.2020.12.037
Saeed Lotfan , Hasan Biglari , Andisheh Choupani , Bekir Bediz

The mechanism of nanoparticle transport inside carbon nanotubes is taken into account to investigate the dynamics of single-walled carbon nanotubes carrying a nanoparticle. The motion of the nanoparticle is on helical tracks, which is induced by temperature difference in the nanotube, with main characteristics such as axial, and angular velocities and pitch angle. The helical motion is modeled based on constrained and unconstrained simulations. In the case of the former, the axial velocity is constant, however, in the latter simulation, the axial velocity is time-variant and stop-and-go events with simultaneous changes in the rotation direction are considered as random uncertainty in the system. Once the helical motion is clarified, the dynamic behavior of the nanotube acted upon by a moving nanoparticle is investigated for simply supported boundary conditions and stability analysis is performed to obtain the critical velocities as well as critical temperature differences based on Floquet theorem. For the case of the system with random uncertainty, the statistical properties as well as confidence and prediction intervals of the dynamic response are also studied by Monte-Carlo simulation. The results highlight the importance of the helical motion mechanism of the moving nanoparticle and the random uncertainty in the system.



中文翻译:

碳纳米管在螺旋轨道上热诱导纳米粒子传输下的动力学

考虑到碳纳米管内部纳米颗粒传输的机制,以研究携带纳米颗粒的单壁碳纳米管的动力学。纳米颗粒的运动是在螺旋轨道上,这是由纳米管中的温度差异引起的,具有主要特征,例如轴向,角速度和俯仰角。螺旋运动是基于受约束和不受约束的模拟来建模的。在前者的情况下,轴向速度是恒定的,但是在后者的模拟中,轴速度是随时间变化的,并且旋转方向同时变化的停走事件被认为是系统中的随机不确定性。螺旋运动明确后,在简单支持的边界条件下,研究了由移动的纳米粒子作用的纳米管的动态行为,并基于Floquet定理进行了稳定性分析,以获得临界速度和临界温差。对于具有随机不确定性的系统,还通过蒙特卡洛仿真研究了统计特性以及动态响应的置信度和预测间隔。结果突出了运动的纳米粒子的螺旋运动机制和系统中的随机不确定性的重要性。蒙特卡洛模拟还研究了动态响应的统计特性以及置信度和预测间隔。结果突出了运动的纳米粒子的螺旋运动机制和系统中的随机不确定性的重要性。蒙特卡洛模拟还研究了动态响应的统计特性以及置信度和预测间隔。结果突出了运动的纳米粒子的螺旋运动机制和系统中的随机不确定性的重要性。

更新日期:2021-01-19
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