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
Rights

Archived with thanks to Engineering Science and Technology, an International Journal

ContributorsIslamic Azad University, University of Derby and University of Bologna
File
File Access Level
Open
File
File Access Level
Open
Permalink -

https://repository.derby.ac.uk/item/95580/damped-forced-vibration-analysis-of-single-walled-carbon-nanotubes-resting-on-viscoelastic-foundation-in-thermal-environment-using-nonlocal-strain-gradient-theory

Download files

  • 27
    total views
  • 40
    total downloads
  • 0
    views this month
  • 0
    downloads this month

Export as

Related outputs

Design optimisation for cold rolled steel beam sections with web and flange stiffeners
Qadir, S., Nguyen, V.B. and Hajirasouliha, I. 2024. Design optimisation for cold rolled steel beam sections with web and flange stiffeners. Journal of Constructional Steel Research. 213, pp. 1-19. https://doi.org/10.1016/j.jcsr.2023.108375
Design optimisation for cold rolled steel beam sections with complex stiffeners considering cold working effects
Sangar Qadir, Nguyen, V.B., Iman Hajirasouliha and Martin English 2023. Design optimisation for cold rolled steel beam sections with complex stiffeners considering cold working effects. 9th International Conference on Thin-Walled Structures . Conference Proceedings of the 9th International Conference on Thin-Walled Structures .
Flexural Strength of Partially Concrete-Filled Steel Tubes Subjected to Lateral Loads by Experimental Testing and Finite Element Modelling
Nguyen, T.T.T., Nguyen, V.B. and Thai, M.Q. 2023. Flexural Strength of Partially Concrete-Filled Steel Tubes Subjected to Lateral Loads by Experimental Testing and Finite Element Modelling. Buildings. 13 (1), pp. 1-31. https://doi.org/10.3390/buildings13010216
Shape optimisation of cold roll formed sections considering effects of cold working
Qadir, Sangar, Nguyen, Van Bac, Hajirasouliha, Iman, Ceranic, Boris, Tracada, Eleni and English, Martin 2021. Shape optimisation of cold roll formed sections considering effects of cold working. Thin-Walled Structures. https://doi.org/10.1016/j.tws.2021.108576
Optimal design of cold roll formed steel channel sections under bending considering both geometry and cold work effects
Qadir, Sangar, Nguyen, Van Bac, Hajirasouliha, Iman, Cartwright, Brian and English, Martin 2020. Optimal design of cold roll formed steel channel sections under bending considering both geometry and cold work effects. Thin-Walled Structures. https://doi.org/10.1016/j.tws.2020.107020
Rutting resistance of asphalt pavement mixes by Finite Element modelling and optimisation
Phuong Ngo, Chau, Nguyen, Van Bac, Nguyen, Thanh Phong, Bay Pham, Ngoc, Le, Van Phuc and Hung Nguyen, Van 2020. Rutting resistance of asphalt pavement mixes by Finite Element modelling and optimisation. Journal of Construction Research. https://doi.org/10.30564/jcr.v1i2.1283
Dynamic modeling of non-cylindrical curved viscoelastic single-walled carbon nanotubes based on the second gradient theory
Malikan, Mohammad and Nguyen, Van Bac 2019. Dynamic modeling of non-cylindrical curved viscoelastic single-walled carbon nanotubes based on the second gradient theory. Materials Research Express. https://doi.org/10.1088/2053-1591/ab15ff
A novel one variable first-order shear deformation theory for biaxial buckling of a size-dependent plate based on the Eringen's nonlocal differential law.
Malikan, Mohammad and Nguyen, Van Bac 2018. A novel one variable first-order shear deformation theory for biaxial buckling of a size-dependent plate based on the Eringen's nonlocal differential law. World Journal of Engineering. https://doi.org/10.1108/WJE-11-2017-0357
Effects of cold roll dimpling process on mechanical properties of dimpled steel.
Nguyen, Van Bac and English, Martin 2017. Effects of cold roll dimpling process on mechanical properties of dimpled steel. Procedia Engineering. https://doi.org/10.1016/j.proeng.2017.10.885
Electromagnetic forced vibrations of composite nanoplates using nonlocal strain gradient theory.
Malikan, Mohammad, Nguyen, Van Bac and Tornabene, Francesco 2018. Electromagnetic forced vibrations of composite nanoplates using nonlocal strain gradient theory. Materials Research Express. https://doi.org/10.1088/2053-1591/aad144
Buckling analysis of piezo-magnetoelectric nanoplates in hygrothermal environment based on a novel one variable plate theory combining with higher-order nonlocal strain gradient theory.
Malikan, Mohammad and Nguyen, Van Bac 2018. Buckling analysis of piezo-magnetoelectric nanoplates in hygrothermal environment based on a novel one variable plate theory combining with higher-order nonlocal strain gradient theory. Physica E: Low-dimensional Systems and Nanostructures. https://doi.org/10.1016/j.physe.2018.04.018
Design of new cold rolled purlins by experimental testing and Direct Strength Method
Nguyen, Van Bac, Pham, Cao Hung, Cartwright, Brian and English, Martin 2017. Design of new cold rolled purlins by experimental testing and Direct Strength Method. Thin-Walled Structures. https://doi.org/10.1016/j.tws.2017.05.011
Dimpling process in cold roll metal forming by finite element modelling and experimental validation
Nguyen, Van Bac, Wang, Chang, Mynors, Diane, English, Martin and Castellucci, Michael 2014. Dimpling process in cold roll metal forming by finite element modelling and experimental validation. Journal of Manufacturing Processes. https://doi.org/10.1016/j.jmapro.2014.03.001
Development of a 3D finite element acoustic model to predict the sound reduction index of stud based double-leaf walls
Nguyen, Van Bac, Arjunan, Arun, Wang, Chang, Mynors, Diane, Morgan, Tertia and English, Martin 2014. Development of a 3D finite element acoustic model to predict the sound reduction index of stud based double-leaf walls. Journal of Sound and Vibration. https://doi.org/10.1016/j.jsv.2014.06.032
Vibro-acoustic performance of different steel studs in double-leaf walls by Finite Element analysis
Nguyen, Van Bac, Morgan, Tertia, English, Martin and Castellucci, Michael 2015. Vibro-acoustic performance of different steel studs in double-leaf walls by Finite Element analysis. Building Acoustics.
Analysis and design of cold-formed dimpled steel columns using Finite Element techniques
Nguyen, Van Bac, Mynors, Diane, Wang, Chang, Castellucci, Michael and English, Martin 2015. Analysis and design of cold-formed dimpled steel columns using Finite Element techniques. Finite Elements in Analysis and Design. https://doi.org/10.1016/j.finel.2015.09.007
Experimental and numerical study on crashworthiness of cold-formed dimpled steel columns
Liang, Ce, Wang, Chang, Nguyen, Van Bac, English, Martin and Mynors, Diane 2016. Experimental and numerical study on crashworthiness of cold-formed dimpled steel columns. Thin-Walled Structures. https://doi.org/10.1016/j.tws.2016.12.020