Size-Dependent Dynamic Behavior of Axially Moving Graphene Nanosheets Using Nonlocal First-Order Shear Deformation Theory
Based on the potential applications of graphene nanosheets as super-sensitive sensors, this paper examines the vibrations of graphene nanoplates under the influence of axial motion. For this purpose, Kirchhoff's nonlinear plate model will be used in conjunction with the modified couple stress t...
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2023-06-01
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| Series: | Advances in Engineering and Intelligence Systems |
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| author | Huafeng Tian |
| author_facet | Huafeng Tian |
| author_sort | Huafeng Tian |
| collection | DOAJ |
| description | Based on the potential applications of graphene nanosheets as super-sensitive sensors, this paper examines the vibrations of graphene nanoplates under the influence of axial motion. For this purpose, Kirchhoff's nonlinear plate model will be used in conjunction with the modified couple stress theory (MCST). Using Hamilton's principle, nonlinear equations governing motion are extracted and then discretized using the Galerkin method. Based on the numerical method, the dynamic response and vibration characteristics of these systems are determined. According to our results, the small size parameter increases the critical speed of the system. The first non-dimensional critical speed of the system at 0, 1.2, and 1.8 is approximately 3.14, 3.18, and 3.42, respectively. A small size parameter also increases the system's oscillation frequency. It is unnecessary to apply the modified stress coupling theory to nanosheets with thicker thicknesses (h > 1.25l) since the effect of the size scale parameter increases with decreasing thickness. In contrast, the frequency increases significantly for thinner nanosheets. Due to the nonlinear behavior of these systems, the instability of the motion of the system can be attributed to chaotic behavior based on the study of the dynamic response. Graphene nanosheets and other plate-like nanostructures may be identified based on the results presented here. |
| format | Article |
| id | doaj-art-98001733178f447c9bfd144888ba8ce5 |
| institution | Kabale University |
| issn | 2821-0263 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | Bilijipub publisher |
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| series | Advances in Engineering and Intelligence Systems |
| spelling | doaj-art-98001733178f447c9bfd144888ba8ce52025-02-12T08:47:10ZengBilijipub publisherAdvances in Engineering and Intelligence Systems2821-02632023-06-0100202415010.22034/aeis.2023.385639.1080173617Size-Dependent Dynamic Behavior of Axially Moving Graphene Nanosheets Using Nonlocal First-Order Shear Deformation TheoryHuafeng Tian0Beijing Technology and Business University, Beijing, 102401, ChinaBased on the potential applications of graphene nanosheets as super-sensitive sensors, this paper examines the vibrations of graphene nanoplates under the influence of axial motion. For this purpose, Kirchhoff's nonlinear plate model will be used in conjunction with the modified couple stress theory (MCST). Using Hamilton's principle, nonlinear equations governing motion are extracted and then discretized using the Galerkin method. Based on the numerical method, the dynamic response and vibration characteristics of these systems are determined. According to our results, the small size parameter increases the critical speed of the system. The first non-dimensional critical speed of the system at 0, 1.2, and 1.8 is approximately 3.14, 3.18, and 3.42, respectively. A small size parameter also increases the system's oscillation frequency. It is unnecessary to apply the modified stress coupling theory to nanosheets with thicker thicknesses (h > 1.25l) since the effect of the size scale parameter increases with decreasing thickness. In contrast, the frequency increases significantly for thinner nanosheets. Due to the nonlinear behavior of these systems, the instability of the motion of the system can be attributed to chaotic behavior based on the study of the dynamic response. Graphene nanosheets and other plate-like nanostructures may be identified based on the results presented here.https://aeis.bilijipub.com/article_173617_b7972dbd864e0056ef9c8c328c2a3af5.pdfvibrationsgraphene nanosheetsaxial motionmodified coupling stressnatural frequency |
| spellingShingle | Huafeng Tian Size-Dependent Dynamic Behavior of Axially Moving Graphene Nanosheets Using Nonlocal First-Order Shear Deformation Theory Advances in Engineering and Intelligence Systems vibrations graphene nanosheets axial motion modified coupling stress natural frequency |
| title | Size-Dependent Dynamic Behavior of Axially Moving Graphene Nanosheets Using Nonlocal First-Order Shear Deformation Theory |
| title_full | Size-Dependent Dynamic Behavior of Axially Moving Graphene Nanosheets Using Nonlocal First-Order Shear Deformation Theory |
| title_fullStr | Size-Dependent Dynamic Behavior of Axially Moving Graphene Nanosheets Using Nonlocal First-Order Shear Deformation Theory |
| title_full_unstemmed | Size-Dependent Dynamic Behavior of Axially Moving Graphene Nanosheets Using Nonlocal First-Order Shear Deformation Theory |
| title_short | Size-Dependent Dynamic Behavior of Axially Moving Graphene Nanosheets Using Nonlocal First-Order Shear Deformation Theory |
| title_sort | size dependent dynamic behavior of axially moving graphene nanosheets using nonlocal first order shear deformation theory |
| topic | vibrations graphene nanosheets axial motion modified coupling stress natural frequency |
| url | https://aeis.bilijipub.com/article_173617_b7972dbd864e0056ef9c8c328c2a3af5.pdf |
| work_keys_str_mv | AT huafengtian sizedependentdynamicbehaviorofaxiallymovinggraphenenanosheetsusingnonlocalfirstordersheardeformationtheory |