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首页> 外文期刊>Proceedings of the institution of mechanical engineers >Control of the non-linear static deflection experienced by a fluid-carrying double-walled carbon nanotube using an external distributed load
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Control of the non-linear static deflection experienced by a fluid-carrying double-walled carbon nanotube using an external distributed load

机译：使用外部分布载荷控制载流双壁碳纳米管经历的非线性静态挠度

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摘要

In this work, an external distributed line load is used to control the postbuckled static deflection of a double-walled carbon nanotube within which a continuous non-viscous fluid flows at a constant velocity. The non-linear equation of motion and boundary conditions are derived using the non-local Timoshenko beam model for the double-walled carbon nanotube, incorporating Von Karman-type geometric non-linear behavior and taking account of the Van der Waals interaction between adjacent layers. First, in the absence of the control force, an analytical approach is used to determine the buckling fluid flow velocities and steady state non-linear static deflection at velocities greater than the buckling velocity for both the cases of a simple-simple and a simple-clamped end support. Then, the control force participates as an indeterminate parameter in the equations. The control force is obtained by resolving equations in which the postbuckled configuration is considered to be an exponential function of time with a negative exponential gain and initial value of the time that is equal to a steady configuration before the control force is applied. The influences of the non-local parameter, aspect ratio and the end supports on the maximum value of control force are investigated.
机译：在这项工作中，外部分布线负载用于控制双壁碳纳米管的屈曲后的静态挠曲，在该挠曲中，连续的非粘性流体以恒定速度流动。使用双壁碳纳米管的非局部Timoshenko束模型，结合了冯卡曼型几何非线性行为并考虑了相邻层之间的范德华相互作用，得出了运动和边界条件的非线性方程。首先，在没有控制力的情况下，对于简单和简单两种情况，都采用一种分析方法来确定屈曲流体的流速和稳态非线性静态挠度，其速度大于屈曲速度。夹紧的末端支撑。然后，控制力作为不确定参量参与方程式。通过求解方程，可以得到控制力，在该方程中，后屈曲构型被认为是时间的指数函数，且负的指数增益和时间的初始值等于施加控制力之前的稳定构型。研究了非局部参数，长宽比和端部支撑对控制力最大值的影响。

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