Dynamic modeling of non-cylindrical curved viscoelastic single-walled carbon nanotubes based on the second gradient theory

Journal article


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
AuthorsMalikan, Mohammad and Nguyen, Van Bac
Abstract

This paper is devoted to the theoretical study of the dynamic response of non-cylindrical curved viscoelastic single-walled carbon nanotubes (SWCNTs). The curved nanotubes are largely used in many engineering applications, but it is challenging in understanding mechanically the dynamic response of these curved SWCNTs when considering the influences of the material viscosity. The viscoelastic damping effect on the dynamic response is considered here by using the Kelvin-Voigt viscoelastic model. A modified shear deformation beam theory is here employed to formulate the governing partial differential equations. When the SWCNTs are considered in a small scale model, quantum impacts are important for a correct evaluation of the mechanical response of the nanosystem. This is here investigated by embedding the well-known nonlocal strain gradient approach into the governing equations. The extracted equations are solved by utilizing the Galerkin analytical approach in which the governing partial differential equations are reduced to ordinary differential equations and numerical findings are achieved for various boundary conditions. In order to evaluate the efficiency of the proposed theory, the outcomes in terms of natural frequencies of the vibrating nanotubes are verified with respect to the available literature. It follows a vast systematic study, where several parameters are varied to investigate the influences of geometrical properties involving different polygons of the SWCNTs on the dynamic response.

Keywordsnon-cylindrical curved SWCNTs, Kelvin-Voigt viscoelastic, nonlocal strain gradient theory, galerkin approach
Year2019
JournalMaterials Research Express
PublisherIOP Publishing
ISSN20531591
Digital Object Identifier (DOI)https://doi.org/10.1088/2053-1591/ab15ff
Web address (URL)http://hdl.handle.net/10545/623748
hdl:10545/623748
Publication dates17 Apr 2019
Publication process dates
Deposited13 May 2019, 13:36
Accepted04 Apr 2019
ContributorsIslamic Azad University and University of Derby
File
File Access Level
Open
Permalink -

https://repository.derby.ac.uk/item/93q1y/dynamic-modeling-of-non-cylindrical-curved-viscoelastic-single-walled-carbon-nanotubes-based-on-the-second-gradient-theory

Download files

  • 6
    total views
  • 0
    total downloads
  • 1
    views this month
  • 0
    downloads this month

Export as

Related outputs

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