Nonlinear vibration of nonlocal strain gradient nanotubes under longitudinal magnetic field

Vietnam Journal of Mechanics

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Field Value
 
Title Nonlinear vibration of nonlocal strain gradient nanotubes under longitudinal magnetic field
 
Creator Anh, N. D.
Hieu, D. V.
 
Subject nonlinear vibration; carbon nanotube; nonlocal strain gradient; magnetic field; Galerkin method; equivalent linearization; weighted averaging
 
Description The nonlinear free vibration of embedded nanotubes under longitudinal magnetic field is studied in this paper. The governing equation for the nanotube is formulated by employing Euler – Bernoulli beam model and the nonlocal strain gradient theory. The analytical expression of the nonlinear frequency of the nanotube is obtained by using Galerkin method and the equivalent linearization method with the weighted averaging value. The accuracy of the obtained solution has been verified by comparison with the published solutions and the exact solution. The influences of the nonlocal parameter, material length scale parameter, aspect ratio, diameter ratio, Winkler parameter and longitudinal magnetic field on the nonlinear vibration responses of the nanotubes with pinned-pinned and clamped-clamped boundary conditions are investigated and discussed.
 
Publisher Publishing House for Science and Technology
 
Contributor Vietnam National Foundation for Science and Technology Development (NAFOSTED)
 
Date 2021-03-31
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

 
Format application/pdf
 
Identifier http://vjs.ac.vn/index.php/vjmech/article/view/15467
10.15625/0866-7136/15467
 
Source Vietnam Journal of Mechanics; Vol 43, No 1 (2021); 55-77
Vietnam Journal of Mechanics; Vol 43, No 1 (2021); 55-77
0866-7136
0866-7136
 
Language eng
 
Relation http://vjs.ac.vn/index.php/vjmech/article/view/15467/pdf
http://vjs.ac.vn/index.php/vjmech/article/downloadSuppFile/15467/3751
 
Rights Copyright (c) 2021 Vietnam Academy of Science and Technology
 

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