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Variational Principles for Vibrating Carbon Nanotubes Conveying Fluid, Based on the Nonlocal Beam Model

Published online by Cambridge University Press:  07 September 2015

Sarp Adali
Sarp Adali*
Affiliation:
Discipline of Mechanical Engineering, University of KwaZulu-Natal, Durban 4041, South Africa
*
*Corresponding author. Email address: adali@ukzn.ac.za (S. Adali)
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Abstract

Variational principles are derived in order to facilitate the investigation of the vibrations and stability of single and double-walled carbon nanotubes conveying a fluid, from a linear time-dependent partial differential equation governing their displacements. The nonlocal elastic theory of Euler-Bernoulli beams takes small-scale effects into account. Hamilton’s principle is obtained for double-walled nano-tubes conveying a fluid. The natural and geometric boundary conditions identified are seen to be coupled and time-dependent due to nonlocal effects.

Keywords

58E3074H4582D80Variational principlescarbon nanotubefluid flownonlocal beamvibration

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Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 5 , Issue 3 , August 2015 , pp. 209 - 221
Copyright
Copyright © Global-Science Press 2015 

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