Damped forced vibration analysis of single-walled carbon nanotubes resting on viscoelastic foundation in thermal environment using nonlocal strain gradient theory

Journal article


Malikan, Mohammad, Nguyen, Van Bac and Tornabene, Francesco 2018. Damped forced vibration analysis of single-walled carbon nanotubes resting on viscoelastic foundation in thermal environment using nonlocal strain gradient theory. Engineering Science and Technology, an International Journal. https://doi.org/10.1016/j.jestch.2018.06.001
AuthorsMalikan, Mohammad, Nguyen, Van Bac and Tornabene, Francesco
Abstract

In this paper, the damped forced vibration of single-walled carbon nanotubes (SWCNTs) is analyzed using a new shear deformation beam theory. The SWCNTs are modeled as a flexible beam on the viscoelastic foundation embedded in the thermal environment and subjected to a transverse dynamic load. The equilibrium equations are formulated by the new shear deformation beam theory which is accompanied with higher-order nonlocal strain gradient theory where the influences of both stress nonlocality and strain gradient size-dependent effects are taken into account. In this new shear deformation beam theory, there is no need to use any shear correction factor and also the number of unknown variables is the only one that is similar to the Euler-Bernoulli beam hypothesis. The governing equations are solved by utilizing an analytical approach by which the maximum dynamic deflection has been obtained with simple boundary conditions. To validate the results of the new proposed beam theory, the results in terms of natural frequencies are compared with the results from an available well-known reference. The effects of nonlocal parameter, half-wave length, damper, temperature and material variations on the dynamic vibration of the nanotubes, are discussed in detail.

KeywordsForced vibration; Single walled carbon nanotube; A new refined beam theory; Higher-order nonlocal strain gradient theory; Dynamic deflection
Year2018
JournalEngineering Science and Technology, an International Journal
PublisherElsevier
ISSN22150986
Digital Object Identifier (DOI)https://doi.org/10.1016/j.jestch.2018.06.001
Web address (URL)http://hdl.handle.net/10545/623017
hdl:10545/623017
Publication dates01 Aug 2018
Publication process dates
Deposited05 Oct 2018, 10:58
Accepted01 Jun 2018
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Archived with thanks to Engineering Science and Technology, an International Journal

ContributorsIslamic Azad University, University of Derby and University of Bologna
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