Frequency Analysis of Functionally Graded Carbon Nanotube-reinforced Cylindrical Panels by Mesh-free Galerkin Method
In this work, the three-dimensional mesh-free (3D-Mfree) method is used for free vibration analysis of functionally graded (FG) cylindrical panels reinforced by carbon nanotubes. The material properties of panels are considered to be changed linearly in the thickness direction, and the effective mat...
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| Format: | Article |
| Language: | English |
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Semnan University
2021-11-01
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| Series: | Mechanics of Advanced Composite Structures |
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| Online Access: | https://macs.semnan.ac.ir/article_5806_fe62e20afdaf0116f6a390df48c297cf.pdf |
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| author | Jaber Alihemmati Yaghub Tadi Beni Arman Soltanimaleki Mohammad Nejati |
| author_facet | Jaber Alihemmati Yaghub Tadi Beni Arman Soltanimaleki Mohammad Nejati |
| author_sort | Jaber Alihemmati |
| collection | DOAJ |
| description | In this work, the three-dimensional mesh-free (3D-Mfree) method is used for free vibration analysis of functionally graded (FG) cylindrical panels reinforced by carbon nanotubes. The material properties of panels are considered to be changed linearly in the thickness direction, and the effective material properties of the panels are estimated by the rule of mixture. Five models of carbon nanotubes distribution, including a uniform distributed model and four FG distributed models, are considered. The weak form governing equations of motion are derived using Hamilton’s principle, and the moving least squares (MLS) approximation is used to construct the 3D-Mfree shape functions in cylindrical coordinates. Various boundary conditions are considered, and effects of boundary conditions, carbon nanotube distribution, the volume fraction of carbon nanotubes, and the panel geometry on the natural frequencies are studied. The results are compared with other results available in the literature, and a close agreement is observed. |
| format | Article |
| id | doaj-art-8e822d2df09c4b1d8215f35c37d8afcc |
| institution | OA Journals |
| issn | 2423-4826 2423-7043 |
| language | English |
| publishDate | 2021-11-01 |
| publisher | Semnan University |
| record_format | Article |
| series | Mechanics of Advanced Composite Structures |
| spelling | doaj-art-8e822d2df09c4b1d8215f35c37d8afcc2025-08-20T02:36:16ZengSemnan UniversityMechanics of Advanced Composite Structures2423-48262423-70432021-11-018241542410.22075/macs.2021.16667.13315806Frequency Analysis of Functionally Graded Carbon Nanotube-reinforced Cylindrical Panels by Mesh-free Galerkin MethodJaber Alihemmati0Yaghub Tadi Beni1Arman Soltanimaleki2Mohammad Nejati3Mechanical Engineering Department, Shahrekord University, Shahrekord, IranFaculty of Engineering, Shahrekord University, Shahrekord, IranNanotechnology Research Center, Shahrekord University, 8818634141, Shahrekord, IranFaculty of Mechanical Engineering, Semnan University, Semnan, IranIn this work, the three-dimensional mesh-free (3D-Mfree) method is used for free vibration analysis of functionally graded (FG) cylindrical panels reinforced by carbon nanotubes. The material properties of panels are considered to be changed linearly in the thickness direction, and the effective material properties of the panels are estimated by the rule of mixture. Five models of carbon nanotubes distribution, including a uniform distributed model and four FG distributed models, are considered. The weak form governing equations of motion are derived using Hamilton’s principle, and the moving least squares (MLS) approximation is used to construct the 3D-Mfree shape functions in cylindrical coordinates. Various boundary conditions are considered, and effects of boundary conditions, carbon nanotube distribution, the volume fraction of carbon nanotubes, and the panel geometry on the natural frequencies are studied. The results are compared with other results available in the literature, and a close agreement is observed.https://macs.semnan.ac.ir/article_5806_fe62e20afdaf0116f6a390df48c297cf.pdffree vibrationcarbon nanotube-reinforced compositemesh-free method |
| spellingShingle | Jaber Alihemmati Yaghub Tadi Beni Arman Soltanimaleki Mohammad Nejati Frequency Analysis of Functionally Graded Carbon Nanotube-reinforced Cylindrical Panels by Mesh-free Galerkin Method Mechanics of Advanced Composite Structures free vibration carbon nanotube-reinforced composite mesh-free method |
| title | Frequency Analysis of Functionally Graded Carbon Nanotube-reinforced Cylindrical Panels by Mesh-free Galerkin Method |
| title_full | Frequency Analysis of Functionally Graded Carbon Nanotube-reinforced Cylindrical Panels by Mesh-free Galerkin Method |
| title_fullStr | Frequency Analysis of Functionally Graded Carbon Nanotube-reinforced Cylindrical Panels by Mesh-free Galerkin Method |
| title_full_unstemmed | Frequency Analysis of Functionally Graded Carbon Nanotube-reinforced Cylindrical Panels by Mesh-free Galerkin Method |
| title_short | Frequency Analysis of Functionally Graded Carbon Nanotube-reinforced Cylindrical Panels by Mesh-free Galerkin Method |
| title_sort | frequency analysis of functionally graded carbon nanotube reinforced cylindrical panels by mesh free galerkin method |
| topic | free vibration carbon nanotube-reinforced composite mesh-free method |
| url | https://macs.semnan.ac.ir/article_5806_fe62e20afdaf0116f6a390df48c297cf.pdf |
| work_keys_str_mv | AT jaberalihemmati frequencyanalysisoffunctionallygradedcarbonnanotubereinforcedcylindricalpanelsbymeshfreegalerkinmethod AT yaghubtadibeni frequencyanalysisoffunctionallygradedcarbonnanotubereinforcedcylindricalpanelsbymeshfreegalerkinmethod AT armansoltanimaleki frequencyanalysisoffunctionallygradedcarbonnanotubereinforcedcylindricalpanelsbymeshfreegalerkinmethod AT mohammadnejati frequencyanalysisoffunctionallygradedcarbonnanotubereinforcedcylindricalpanelsbymeshfreegalerkinmethod |