Three-Dimensional Thermal Stress Effects on Nonlinear Torsional Vibration of Carbon Nanotubes Embedded in an Elastic Medium

IF 2.7 3区工程技术 Q2 ENGINEERING, MECHANICAL

Nanoscale and Microscale Thermophysical Engineering Pub Date : 2021-10-02 DOI:10.1080/15567265.2021.2011993

Sardar S. Abdullah, S. Hashemi, N. A. Hussein, R. Nazemnezhad

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引用次数: 5

Abstract

ABSTRACT Nonlinear torsional vibration of nanorods embedded in an elastic medium under three-dimensional thermal stresses is investigated in this study. The scale effect is introduced to the equation of motion using the nonlocal theory. The nanorods are under the effect of a three-dimensional thermal environment. The elastic medium is modeled by infinite rotational springs around the nanorod. Galerkin’s and He’s variational methods are used to solve the differential equation of motion and obtain torsional frequencies. An uncertainty analysis is done to show the effect of the uncertain parameters on the frequencies. The frequency sensitivities are obtained to demonstrate the frequency sensitivities to uncertain parameters. Effect of temperature changes, elastic medium stiffness, vibration amplitude, nonlocal scale coefficient, and nanorod length and diameter on the nonlinear torsional frequencies are investigated. The effect of temperature on the frequencies is dependent on the values of elastic medium stiffness, vibration amplitude, and nanorod length and diameter.

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三维热应力对弹性介质中碳纳米管非线性扭转振动的影响

本文研究了嵌入弹性介质中的纳米棒在三维热应力作用下的非线性扭转振动。利用非局部理论将尺度效应引入到运动方程中。纳米棒受到三维热环境的影响。弹性介质由围绕纳米棒的无限旋转弹簧建模。用伽辽金变分法和何变分法求解运动微分方程，得到扭转频率。进行了不确定度分析，以显示不确定参数对频率的影响。获得了频率灵敏度，以证明对不确定参数的频率灵敏度。研究了温度变化、弹性介质刚度、振幅、非局部尺度系数以及纳米棒长度和直径对非线性扭转频率的影响。温度对频率的影响取决于弹性介质刚度、振幅以及纳米棒长度和直径的值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nanoscale and Microscale Thermophysical Engineering 工程技术-材料科学：表征与测试

CiteScore

5.90

自引率

2.40%

发文量

审稿时长

3.3 months

期刊介绍： Nanoscale and Microscale Thermophysical Engineering is a journal covering the basic science and engineering of nanoscale and microscale energy and mass transport, conversion, and storage processes. In addition, the journal addresses the uses of these principles for device and system applications in the fields of energy, environment, information, medicine, and transportation. The journal publishes both original research articles and reviews of historical accounts, latest progresses, and future directions in this rapidly advancing field. Papers deal with such topics as: transport and interactions of electrons, phonons, photons, and spins in solids, interfacial energy transport and phase change processes, microscale and nanoscale fluid and mass transport and chemical reaction, molecular-level energy transport, storage, conversion, reaction, and phase transition, near field thermal radiation and plasmonic effects, ultrafast and high spatial resolution measurements, multi length and time scale modeling and computations, processing of nanostructured materials, including composites, micro and nanoscale manufacturing, energy conversion and storage devices and systems, thermal management devices and systems, microfluidic and nanofluidic devices and systems, molecular analysis devices and systems.