当前位置: X-MOL 学术Mech. Mater. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Study on Size-Dependent Vibration and stability of DWCNTs subjected to moving nanoparticles and embedded on two-parameter foundations
Mechanics of Materials ( IF 3.9 ) Pub Date : 2020-03-01 , DOI: 10.1016/j.mechmat.2019.103279
Mostafa Pirmoradian , Ehsan Torkan , Davood Toghraie

Abstract Parametric resonance is an important phenomenon that may be evinced in applying carbon nanotubes for the delivery of nanoparticles. This paper aims to investigate dynamics instability of double-walled carbon nanotubes (DWCNTs) surrounded by elastic medium and excited by a sequence of moving nanoparticles. The DWCNT is modeled as two Euler-Bernoulli beams interacting between them through van der Waals (vdW) forces. Based on Eringen's nonlocal elastic theory to consider the small-scale effects, the governing equations are derived by using Hamilton's principle. All inertial terms of the moving nanoparticles are taken into account. In addition, the van der Waals force between the constitutive atoms of the moving nanoparticle and those of the nanotube is considered. By utilization of the Galerkin method, the partial differential equations (PDEs) of motion are reduced to couple ordinary differential equations with time-varying coefficients describing a parametrically excited nanosystem. Then, an incremental harmonic balance (IHB) method is implemented to calculate the instability regions of the DWCNT. The results show that considering the vdW effects, increasing the amplitude of the static axial tensile force, reducing the amplitude of axial oscillating force, and increasing the stiffness of the elastic medium improve stability of the system. A comparison between the results with those reported in the literature is performed to verify the precision of the presented analyses.

中文翻译:

移动纳米颗粒作用下嵌入双参数基础上的 DWCNT 的尺寸相关振动和稳定性研究

摘要 参数共振是一种重要的现象,可能在应用碳纳米管递送纳米粒子时得到证实。本文旨在研究被弹性介质包围并被一系列移动的纳米粒子激发的双壁碳纳米管 (DWCNT) 的动力学不稳定性。DWCNT 被建模为两个 Euler-Bernoulli 光束通过范德华 (vdW) 力在它们之间相互作用。基于 Eringen 的非局域弹性理论考虑小尺度效应,利用 Hamilton 原理推导出控制方程。移动纳米粒子的所有惯性项都被考虑在内。此外,还考虑了移动纳米粒子的本构原子与纳米管的本构原子之间的范德华力。利用伽辽金法,运动的偏微分方程 (PDE) 被简化为将常微分方程与描述参数激发纳米系统的时变系数耦合。然后,实施增量谐波平衡(IHB)方法来计算 DWCNT 的不稳定区域。结果表明,考虑vdW效应,增加静轴向拉力的幅值,减小轴向振荡力的幅值,增加弹性介质的刚度可以提高系统的稳定性。将结果与文献中报告的结果进行比较,以验证所呈现分析的精确度。实现了增量谐波平衡 (IHB) 方法来计算 DWCNT 的不稳定区域。结果表明,考虑vdW效应,增加静轴向拉力的幅值,减小轴向振荡力的幅值,增加弹性介质的刚度可以提高系统的稳定性。将结果与文献中报告的结果进行比较,以验证所呈现分析的精确度。实现了增量谐波平衡 (IHB) 方法来计算 DWCNT 的不稳定区域。结果表明,考虑vdW效应,增加静轴向拉力的幅值,减小轴向振荡力的幅值,增加弹性介质的刚度可以提高系统的稳定性。将结果与文献中报告的结果进行比较,以验证所呈现分析的精确度。
更新日期:2020-03-01
down
wechat
bug