Vibration analysis of single-walled carbon nanotubes conveying nanoflow embedded in a viscoelastic medium using modified nonlocal beam model

IF 1.2 4区工程技术 Q3 MATERIALS SCIENCE, CHARACTERIZATION & TESTING

Archives of Mechanics Pub Date : 2014-07-28 DOI:10.24423/AOM.1108

M. Hosseini, M. Sadeghi-Goughari, S. A. Atashipour, M. Eftekhari

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引用次数: 45

Abstract

In this study, the vibration and stability analysis of a single-walled carbon nanotube (SWCNT) coveying nanoflow embedded in biological soft tissue are performed. The effects of nano-size of both fluid flow and nanotube are considered, simultaneously. Nonlocal beam model is used to investigate flow-induced vibration of the SWCNT while the small-size effects on the flow field are formulated through a Knudsen number ( Kn ), as a discriminant parameter. Pursuant to the viscoelastic behavior of biological soft tissues, the SWCNT is assumed to be embedded in a Kelvin–Voigt foundation. Hamilton’s principle is applied to the energy expressions to obtain the higher-order governing differential equations of motion and the corresponding higher-order boundary conditions. The differential transformation method (DTM) is employed to solve the differential equations of motion. The effects of main parameters including Kn , nonlocal parameter and mechanical behaviors of the surrounding biological medium on the vibrational properties of the SWCNT are examined.

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基于修正非局部梁模型的单壁碳纳米管在粘弹性介质中传输纳米流的振动分析

在这项研究中，对一种覆盖纳米流的单壁碳纳米管(SWCNT)嵌入生物软组织进行了振动和稳定性分析。同时考虑了纳米尺寸对流体流动和纳米管的影响。采用非局部梁模型研究了swcnts的流致振动，并通过Knudsen数(Kn)作为判别参数来表达对流场的小尺寸影响。根据生物软组织的粘弹性特性，假设swcnts嵌入在Kelvin-Voigt地基中。将Hamilton原理应用于能量表达式，得到高阶运动控制微分方程和相应的高阶边界条件。采用微分变换法(DTM)求解运动微分方程。考察了主要参数(Kn)、非局部参数以及周围生物介质的力学行为对swcnts振动特性的影响。

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

Archives of Mechanics 工程技术-材料科学：表征与测试

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： Archives of Mechanics provides a forum for original research on mechanics of solids, fluids and discrete systems, including the development of mathematical methods for solving mechanical problems. The journal encompasses all aspects of the field, with the emphasis placed on: -mechanics of materials: elasticity, plasticity, time-dependent phenomena, phase transformation, damage, fracture; physical and experimental foundations, micromechanics, thermodynamics, instabilities; -methods and problems in continuum mechanics: general theory and novel applications, thermomechanics, structural analysis, porous media, contact problems; -dynamics of material systems; -fluid flows and interactions with solids. Papers published in the Archives should contain original contributions dealing with theoretical, experimental, or numerical aspects of mechanical problems listed above. The journal publishes also current announcements and information about important scientific events of possible interest to its readers, like conferences, congresses, symposia, work-shops, courses, etc. Occasionally, special issues of the journal may be devoted to publication of all or selected papers presented at international conferences or other scientific meetings. However, all papers intended for such an issue are subjected to the usual reviewing and acceptance procedure.