Free Vibration of Defective Nanographene using Molecular Dynamics Simulation and Differential Quadrature Method
In this paper, the free vibration of defective nanographene is investigated using Molecular Dynamics Simulation (MD) and Differential Quadrature Method (DQM). The equations of motions and the related boundary conditions are derived based on the differential constitutive relations in conjunction with...
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| Format: | Article |
| Language: | English |
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Islamic Azad University-Isfahan (Khorasgan) Branch
2021-12-01
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| Series: | International Journal of Advanced Design and Manufacturing Technology |
| Subjects: | |
| Online Access: | https://admt.isfahan.iau.ir/article_687301_ceabb2b4f67ee15f4ee834b5a7f0bb29.pdf |
| _version_ | 1797657345792147456 |
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| author | Hossein Golestanian ali khodadadi mahmoud haghighi |
| author_facet | Hossein Golestanian ali khodadadi mahmoud haghighi |
| author_sort | Hossein Golestanian |
| collection | DOAJ |
| description | In this paper, the free vibration of defective nanographene is investigated using Molecular Dynamics Simulation (MD) and Differential Quadrature Method (DQM). The equations of motions and the related boundary conditions are derived based on the differential constitutive relations in conjunction with the classical plate theory via Hamilton’s principle. Then, DQM is used to investigate free vibration of the nanographene with various boundary conditions. At first, in order to determine natural frequencies more realistically, nanographene mechanical properties are determined using MD simulations. The effects of defects are investigated by analyzing pristine and defective nanographenes containing Stone Wales, vacancy, and Adatom defects. According to the results, the non-dimensional fundamental natural frequency parameter converges to the analytical value for N=10×10. Results indicate that graphene with CCCC boundary conditions has the maximum natural frequency. The minimum value corresponds to the graphene with SSSS boundary conditions. In addition, Non-dimensional fundamental frequency parameter of the nanoplate increases with increasing nanoplate aspect ratio. Finally, defects reduce density, position ratio and elastic moduli of nanographene, which causes a decrease in natural frequency. Stone Wales and vacancy defects decrease nanographene natural frequencies by about 8 and 25 percent, respectively. |
| first_indexed | 2024-03-11T17:43:09Z |
| format | Article |
| id | doaj.art-b2cc00d8843846a783edf7d8d2bdc664 |
| institution | Directory Open Access Journal |
| issn | 2252-0406 2383-4447 |
| language | English |
| last_indexed | 2024-03-11T17:43:09Z |
| publishDate | 2021-12-01 |
| publisher | Islamic Azad University-Isfahan (Khorasgan) Branch |
| record_format | Article |
| series | International Journal of Advanced Design and Manufacturing Technology |
| spelling | doaj.art-b2cc00d8843846a783edf7d8d2bdc6642023-10-18T08:47:01ZengIslamic Azad University-Isfahan (Khorasgan) BranchInternational Journal of Advanced Design and Manufacturing Technology2252-04062383-44472021-12-01144839010.30495/admt.2021.1928536.1276687301Free Vibration of Defective Nanographene using Molecular Dynamics Simulation and Differential Quadrature MethodHossein Golestanian0ali khodadadi1mahmoud haghighi2Department of Mechanical Engineering, University of Shahrekord, IranDepartment of Mechanical Engineering, University of Shahrekord, IranDepartment of Mechanical Engineering, University of Shahrekord, IranIn this paper, the free vibration of defective nanographene is investigated using Molecular Dynamics Simulation (MD) and Differential Quadrature Method (DQM). The equations of motions and the related boundary conditions are derived based on the differential constitutive relations in conjunction with the classical plate theory via Hamilton’s principle. Then, DQM is used to investigate free vibration of the nanographene with various boundary conditions. At first, in order to determine natural frequencies more realistically, nanographene mechanical properties are determined using MD simulations. The effects of defects are investigated by analyzing pristine and defective nanographenes containing Stone Wales, vacancy, and Adatom defects. According to the results, the non-dimensional fundamental natural frequency parameter converges to the analytical value for N=10×10. Results indicate that graphene with CCCC boundary conditions has the maximum natural frequency. The minimum value corresponds to the graphene with SSSS boundary conditions. In addition, Non-dimensional fundamental frequency parameter of the nanoplate increases with increasing nanoplate aspect ratio. Finally, defects reduce density, position ratio and elastic moduli of nanographene, which causes a decrease in natural frequency. Stone Wales and vacancy defects decrease nanographene natural frequencies by about 8 and 25 percent, respectively.https://admt.isfahan.iau.ir/article_687301_ceabb2b4f67ee15f4ee834b5a7f0bb29.pdfdefective nanographenefree vibrationmolecular dynamicsquadrature method |
| spellingShingle | Hossein Golestanian ali khodadadi mahmoud haghighi Free Vibration of Defective Nanographene using Molecular Dynamics Simulation and Differential Quadrature Method International Journal of Advanced Design and Manufacturing Technology defective nanographene free vibration molecular dynamics quadrature method |
| title | Free Vibration of Defective Nanographene using Molecular Dynamics Simulation and Differential Quadrature Method |
| title_full | Free Vibration of Defective Nanographene using Molecular Dynamics Simulation and Differential Quadrature Method |
| title_fullStr | Free Vibration of Defective Nanographene using Molecular Dynamics Simulation and Differential Quadrature Method |
| title_full_unstemmed | Free Vibration of Defective Nanographene using Molecular Dynamics Simulation and Differential Quadrature Method |
| title_short | Free Vibration of Defective Nanographene using Molecular Dynamics Simulation and Differential Quadrature Method |
| title_sort | free vibration of defective nanographene using molecular dynamics simulation and differential quadrature method |
| topic | defective nanographene free vibration molecular dynamics quadrature method |
| url | https://admt.isfahan.iau.ir/article_687301_ceabb2b4f67ee15f4ee834b5a7f0bb29.pdf |
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