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Title: Free vibration analysis of a multiple rotating nano-beams system based on the Eringen nonlocal elasticity theory

Abstract

The free vibration analysis of a multiple rotating nanobeams' system applying the nonlocal Eringen elasticity theory is presented. Multiple nanobeams' systems are of great importance in nano-optomechanical applications. At nanoscale, the nonlocal effects become non-negligible. According to the nonlocal Euler-Bernoulli beam theory, the governing partial differential equations are derived by incorporating the nonlocal scale effects. Assuming a structure of n parallel nanobeams, the vibration of the system is described by a coupled set of n partial differential equations. The method involves a change of variables to uncouple the equations and the differential transform method as an efficient mathematical technique to solve the nonlocal governing differential equations. Then a number of parametric studies are conducted to assess the effect of the nonlocal scaling parameter, rotational speed, boundary conditions, hub radius, and the stiffness coefficients of the elastic interlayer media on the vibration behavior of the coupled rotating multiple-carbon-nanotube-beam system. It is revealed that the bending vibration of the system is significantly influenced by the rotational speed, elastic mediums, and the nonlocal scaling parameters. This model is validated by comparing the results with those available in the literature. The natural frequencies are in a reasonably good agreement with the reported results.

Authors:
;  [1]
  1. Department of Mechanical Engineering, Faculty of Engineering, University of Isfahan, Isfahan (Iran, Islamic Republic of)
Publication Date:
OSTI Identifier:
22597737
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Applied Physics; Journal Volume: 120; Journal Issue: 5; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BEAMS; BENDING; BOUNDARY CONDITIONS; CARBON NANOTUBES; COMPARATIVE EVALUATIONS; ELASTICITY; FLEXIBILITY; PARAMETRIC ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS; SCALING; VELOCITY

Citation Formats

Ghafarian, M., and Ariaei, A., E-mail: ariaei@eng.ui.ac.ir. Free vibration analysis of a multiple rotating nano-beams system based on the Eringen nonlocal elasticity theory. United States: N. p., 2016. Web. doi:10.1063/1.4959991.
Ghafarian, M., & Ariaei, A., E-mail: ariaei@eng.ui.ac.ir. Free vibration analysis of a multiple rotating nano-beams system based on the Eringen nonlocal elasticity theory. United States. doi:10.1063/1.4959991.
Ghafarian, M., and Ariaei, A., E-mail: ariaei@eng.ui.ac.ir. 2016. "Free vibration analysis of a multiple rotating nano-beams system based on the Eringen nonlocal elasticity theory". United States. doi:10.1063/1.4959991.
@article{osti_22597737,
title = {Free vibration analysis of a multiple rotating nano-beams system based on the Eringen nonlocal elasticity theory},
author = {Ghafarian, M. and Ariaei, A., E-mail: ariaei@eng.ui.ac.ir},
abstractNote = {The free vibration analysis of a multiple rotating nanobeams' system applying the nonlocal Eringen elasticity theory is presented. Multiple nanobeams' systems are of great importance in nano-optomechanical applications. At nanoscale, the nonlocal effects become non-negligible. According to the nonlocal Euler-Bernoulli beam theory, the governing partial differential equations are derived by incorporating the nonlocal scale effects. Assuming a structure of n parallel nanobeams, the vibration of the system is described by a coupled set of n partial differential equations. The method involves a change of variables to uncouple the equations and the differential transform method as an efficient mathematical technique to solve the nonlocal governing differential equations. Then a number of parametric studies are conducted to assess the effect of the nonlocal scaling parameter, rotational speed, boundary conditions, hub radius, and the stiffness coefficients of the elastic interlayer media on the vibration behavior of the coupled rotating multiple-carbon-nanotube-beam system. It is revealed that the bending vibration of the system is significantly influenced by the rotational speed, elastic mediums, and the nonlocal scaling parameters. This model is validated by comparing the results with those available in the literature. The natural frequencies are in a reasonably good agreement with the reported results.},
doi = {10.1063/1.4959991},
journal = {Journal of Applied Physics},
number = 5,
volume = 120,
place = {United States},
year = 2016,
month = 8
}
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