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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >Numerical investigation of nonlinear vibration analysis for triple-walled carbon nanotubes conveying viscous fluid
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Numerical investigation of nonlinear vibration analysis for triple-walled carbon nanotubes conveying viscous fluid

机译：三壁碳纳米管输送粘性液体非线性振动分析的数值研究

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Purpose - The purpose of this paper is to investigate nonlinear vibrations of triple-walled carbon nanotubes buried within Pasternak foundation carrying viscous fluids. Design/methodology/approach - Considering the geometry of nanotubes, the governing equations were initially derived using Timoshenko and modified couple stress theories and by taking into account Von-Karman expressions. Then, by determining boundary conditions, type of fluid motion, Knudsen number and, ultimately, fluid viscosity, the principal equation was solved using differential quadrature method, and linear and nonlinear nanotube frequencies were calculated. Findings - The results indicated that natural frequency is decreased as the fluid velocity and aspect ratio increase. Moreover, as the aspect ratio is increased, the results converge for simple and fixed support boundary conditions, and the ratio of nonlinear to linear frequencies approaches. Natural frequency of vibrations and critical velocity increase as Pasternak coefficient and characteristic length increase. As indicated by the results, by assuming a non-uniform velocity for the fluid and a slip boundary condition at Kn = 0.05, reductions of 10.714 and 28.714% were observed in the critical velocity, respectively. Moreover, the ratio of nonlinear to linear base frequencies decreases as the Winkler and Pasternak coefficients, maximum deflection of the first wall and characteristic length are increased in couple stress theory. Originality/value - This paper is a numerical investigation of nonlinear vibration analysis for triple-walled carbon nanotubes conveying viscous fluid.
机译：目的 - 本文的目的是研究埋藏在携带粘液流体的粘液基础内的三壁碳纳米管的非线性振动。设计/方法/方法 - 考虑纳米管的几何形状，控制方程最初使用Timoshenko和修改的夫妻应力理论，并考虑到von-Karman表达式。然后，通过确定边界条件，使用差分正交方法解决了流体运动，knudsen数和最终，流体粘度，求解了主要方程，并且计算了线性和非线性纳米管频率。结果 - 结果表明，随着流体速度和纵横比增加，固有频率降低。此外，随着纵横比增加，结果会聚用于简单和固定的支撑边界条件，并且非线性与线性频率接近的比率。随着Pasternak系数和特征长度的增加，振动的自然频率和临界速度增加。如结果所示，通过假设kn = 0.05的流体的不均匀速度和kn = 0.05的滑动边界条件，分别在临界速度下观察到10.714和28.714％的降低。此外，非线性与线性碱基频率的比率随着Winkler和Pasternak系数而减小，第一壁的最大偏转和特征长度增加到耦合应力理论。原创性/值 - 本文是输送粘性液体三壁碳纳米管非线性振动分析的数值研究。

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