Damped forced vibration analysis of single-walled carbon nanotubes resting on viscoelastic foundation in thermal environment using nonlocal strain gradient theory
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 eq...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-08-01
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| Series: | Engineering Science and Technology, an International Journal |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S221509861830288X |
| _version_ | 1818270747078950912 |
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| author | Mohammad Malikan Van Bac Nguyen Francesco Tornabene |
| author_facet | Mohammad Malikan Van Bac Nguyen Francesco Tornabene |
| author_sort | Mohammad Malikan |
| collection | DOAJ |
| description | 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. Keywords: Forced vibration, Single walled carbon nanotube, A new refined beam theory, Higher-order nonlocal strain gradient theory, Dynamic deflection |
| first_indexed | 2024-12-12T21:15:11Z |
| format | Article |
| id | doaj.art-c415bf5140f44642a0d3db85b56acf27 |
| institution | Directory Open Access Journal |
| issn | 2215-0986 |
| language | English |
| last_indexed | 2024-12-12T21:15:11Z |
| publishDate | 2018-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Engineering Science and Technology, an International Journal |
| spelling | doaj.art-c415bf5140f44642a0d3db85b56acf272022-12-22T00:11:46ZengElsevierEngineering Science and Technology, an International Journal2215-09862018-08-01214778786Damped forced vibration analysis of single-walled carbon nanotubes resting on viscoelastic foundation in thermal environment using nonlocal strain gradient theoryMohammad Malikan0Van Bac Nguyen1Francesco Tornabene2Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, Mashhad Branch, Mashhad, Iran; Corresponding author.Department of Mechanical Engineering and the Built Environment, College of Engineering and Technology, University of Derby, Derbyshire, United KingdomDepartment of Civil, Chemical, Environmental, and Materials Engineering, University of Bologna, Bologna, ItalyIn 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. Keywords: Forced vibration, Single walled carbon nanotube, A new refined beam theory, Higher-order nonlocal strain gradient theory, Dynamic deflectionhttp://www.sciencedirect.com/science/article/pii/S221509861830288X |
| spellingShingle | Mohammad Malikan Van Bac Nguyen Francesco Tornabene 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 |
| title | Damped forced vibration analysis of single-walled carbon nanotubes resting on viscoelastic foundation in thermal environment using nonlocal strain gradient theory |
| title_full | Damped forced vibration analysis of single-walled carbon nanotubes resting on viscoelastic foundation in thermal environment using nonlocal strain gradient theory |
| title_fullStr | Damped forced vibration analysis of single-walled carbon nanotubes resting on viscoelastic foundation in thermal environment using nonlocal strain gradient theory |
| title_full_unstemmed | Damped forced vibration analysis of single-walled carbon nanotubes resting on viscoelastic foundation in thermal environment using nonlocal strain gradient theory |
| title_short | Damped forced vibration analysis of single-walled carbon nanotubes resting on viscoelastic foundation in thermal environment using nonlocal strain gradient theory |
| title_sort | damped forced vibration analysis of single walled carbon nanotubes resting on viscoelastic foundation in thermal environment using nonlocal strain gradient theory |
| url | http://www.sciencedirect.com/science/article/pii/S221509861830288X |
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