Analytical and numerical modeling of higher order free vibration characteristics of single-walled carbon nanotubes

被引：13
|
作者：
Azrar, Abdellhadi [1 ]
Azrar, Lahcen [1 ,2 ,3 ]
Aljinaidi, Adbulmalik A. [3 ]
机构：
[1] Abdelmalek Essaadi Univ, Fac Sci & Tech Tangier, Dept Math, MMC, Tangier, Morocco
[2] Mohammed V Univ, Higher Sch Tech Educ Rabat ENSET, Lab LaMIPI, Rabat, Morocco
[3] King Abdulaziz Univ, Dept Mech Engn, Fac Engn, Jeddah, Saudi Arabia
来源：
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2016年 / 23卷 / 11期
关键词：
carbon nanotubes; nonlocal elasticity; small-scale effect; higher order modes; eigenfrequencies; analytical formulations; differential quadrature method; well conditioned modes; Timoshenko; Euler-Bernoulli; FLAPWISE BENDING VIBRATION; NONLOCAL ELASTICITY; VARIATIONAL-PRINCIPLES;
D O I：
10.1080/15376494.2015.1068405
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this article, analytical and numerical investigations of small, higher, and asymptotic order vibration eigenmodes and natural eigenfrequencies of single-walled carbon nanotubes (CNT) are elaborated. The nonlocal elasticity theory is used and the numerical simulation is based on the differential quadrature method. Due to numerical instability, the common analytical forms of eigenmodes can be only used for the first 12 modes or so. New mathematical models for higher eigenmodes and associated eigenfrequencies of CNT are developed. The obtained eigenmodes are well conditioned and numerically stable and may be used as modal bases at any required frequency range.
引用
收藏
页码：1245 / 1262
页数：18
相关论文
共 50 条
  • [31] Low-frequency linear vibrations of single-walled carbon nanotubes: Analytical and numerical models
    Strozzi, Matteo
    Manevitch, Leonid I.
    Pellicano, Francesco
    Smirnov, Valeri V.
    Shepelev, Denis S.
    JOURNAL OF SOUND AND VIBRATION, 2014, 333 (13) : 2936 - 2957
  • [32] Effects of strain and higher order inertia gradients on wave propagation in single-walled carbon nanotubes
    Xu, Xiao-Jian
    Deng, Zi-Chen
    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2015, 72 : 101 - 110
  • [33] A numerical study of vibrational properties of single-walled carbon nanotubes
    Mir, M.
    Hosseini, A.
    Majzoobi, G. H.
    COMPUTATIONAL MATERIALS SCIENCE, 2008, 43 (03) : 540 - 548
  • [34] Molecular dynamics simulation of free transverse vibration behavior of single-walled coiled carbon nanotubes
    Darvishi, Farshid
    Rahmani, Omid
    Ostadrahimi, Alireza
    Choi, Eunsoo
    Li, Guoqiang
    MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2024, 31 (20) : 5028 - 5039
  • [35] Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory
    Yang, J.
    Ke, L. L.
    Kitipornchai, S.
    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2010, 42 (05): : 1727 - 1735
  • [36] Effect of Longitudinal Magnetic Field on Vibration Characteristics of Single-Walled Carbon Nanotubes in a Viscoelastic Medium
    D.P. Zhang
    Y. Lei
    Z.B. Shen
    Brazilian Journal of Physics, 2017, 47 : 640 - 656
  • [37] Effect of Longitudinal Magnetic Field on Vibration Characteristics of Single-Walled Carbon Nanotubes in a Viscoelastic Medium
    Zhang, D. P.
    Lei, Y.
    Shen, Z. B.
    BRAZILIAN JOURNAL OF PHYSICS, 2017, 47 (06) : 640 - 656
  • [38] Nonlinear Analysis on Flow-Induced Vibration of Single-Walled Carbon Nanotubes Employing Analytical Methods
    Ghasemi, S. E.
    Gouran, Sina
    INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2022, 22 (11)
  • [39] Modeling of thermocapillary flow to purify single-walled carbon nanotubes
    Song, Jizhou
    Lu, Chaofeng
    Zhang, Chenxi
    Jin, Sung Hun
    Li, Yuhang
    Dunham, Simon N.
    Xie, Xu
    Du, Frank
    Huang, Yonggang
    Rogersf, John A.
    RSC ADVANCES, 2014, 4 (80): : 42454 - 42461
  • [40] Non-Linear Modeling of Single-Walled Carbon Nanotubes
    Chwal, Malgorzata
    APPLIED MECHANICS AND MATERIALS II, PTS 1 AND 2, 2014, 477-478 : 1225 - 1228
12345