Vibrations of arbitrary deep and thick polymeric nanocomposite cylindrical panels: Introduction of a novel quasi-3D shell model.
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| Title: | Vibrations of arbitrary deep and thick polymeric nanocomposite cylindrical panels: Introduction of a novel quasi-3D shell model. |
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| Authors: | Tang, Lei1 (AUTHOR) zjfftangl@163.com, Zhou, Dapeng2 (AUTHOR) zjfftangl@163.com |
| Source: | Journal of Vibration & Control. May2026, Vol. 32 Issue 9/10, p2174-2192. 19p. |
| Subjects: | Polymeric nanocomposites, Cylindrical shells, Shear (Mechanics), Functionally gradient materials, Graphene, Acoustic vibrations, Eigenfrequencies |
| Abstract: | Using the modified Reddy's shear deformation hypothesis, the analysis of the free vibrations of the cylindrical panel reinforced with graphene platelets (GPLs) is investigated. In the used theory, in addition to the fact that the transverse shear strains are considered as a non-uniform function of the thickness, the transverse normal strain is also included in such a way that the displacement along the thickness of the shell is non-uniform. A laminated composite is considered in such a way that each layer is reinforced with a certain volume fraction of the graphene platelets. The amount of reinforcement in each layer may be different, which will lead to functionally graded material (FGM). To estimate the elastic properties of the used material, the Halpin-Tsai relationship has been used. Considering the linear strain-displacement relations and the elastic structural relation in the three-dimensional elasticity state as basic relations, Hamilton's principle has been used to derive the equations of motion. The resulting six equations of motion are then presented in terms of displacement components using the definitions of the resultants. For simple supported boundary conditions, Navier's solution has been used, and the stiffness and mass matrices have been presented. The obtained results can be useful for estimating the frequencies of a deep and thick shell made of FG-GPLRCs. The results of this research show that increasing the volume fraction of GPLs increases the natural frequency of the shell. It is seen that, in FG-X distribution of reinforcements, the natural frequencies of the shell can be enhanced. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Vibration & Control is the property of Sage Publications, Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 193250550 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Vibrations of arbitrary deep and thick polymeric nanocomposite cylindrical panels: Introduction of a novel quasi-3D shell model. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Tang%2C+Lei%22">Tang, Lei</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> zjfftangl@163.com</i><br /><searchLink fieldCode="AR" term="%22Zhou%2C+Dapeng%22">Zhou, Dapeng</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> zjfftangl@163.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Vibration+%26+Control%22">Journal of Vibration & Control</searchLink>. May2026, Vol. 32 Issue 9/10, p2174-2192. 19p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Polymeric+nanocomposites%22">Polymeric nanocomposites</searchLink><br /><searchLink fieldCode="DE" term="%22Cylindrical+shells%22">Cylindrical shells</searchLink><br /><searchLink fieldCode="DE" term="%22Shear+%28Mechanics%29%22">Shear (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Functionally+gradient+materials%22">Functionally gradient materials</searchLink><br /><searchLink fieldCode="DE" term="%22Graphene%22">Graphene</searchLink><br /><searchLink fieldCode="DE" term="%22Acoustic+vibrations%22">Acoustic vibrations</searchLink><br /><searchLink fieldCode="DE" term="%22Eigenfrequencies%22">Eigenfrequencies</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Using the modified Reddy's shear deformation hypothesis, the analysis of the free vibrations of the cylindrical panel reinforced with graphene platelets (GPLs) is investigated. In the used theory, in addition to the fact that the transverse shear strains are considered as a non-uniform function of the thickness, the transverse normal strain is also included in such a way that the displacement along the thickness of the shell is non-uniform. A laminated composite is considered in such a way that each layer is reinforced with a certain volume fraction of the graphene platelets. The amount of reinforcement in each layer may be different, which will lead to functionally graded material (FGM). To estimate the elastic properties of the used material, the Halpin-Tsai relationship has been used. Considering the linear strain-displacement relations and the elastic structural relation in the three-dimensional elasticity state as basic relations, Hamilton's principle has been used to derive the equations of motion. The resulting six equations of motion are then presented in terms of displacement components using the definitions of the resultants. For simple supported boundary conditions, Navier's solution has been used, and the stiffness and mass matrices have been presented. The obtained results can be useful for estimating the frequencies of a deep and thick shell made of FG-GPLRCs. The results of this research show that increasing the volume fraction of GPLs increases the natural frequency of the shell. It is seen that, in FG-X distribution of reinforcements, the natural frequencies of the shell can be enhanced. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Vibration & Control is the property of Sage Publications, Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1177/10775463251327825 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 19 StartPage: 2174 Subjects: – SubjectFull: Polymeric nanocomposites Type: general – SubjectFull: Cylindrical shells Type: general – SubjectFull: Shear (Mechanics) Type: general – SubjectFull: Functionally gradient materials Type: general – SubjectFull: Graphene Type: general – SubjectFull: Acoustic vibrations Type: general – SubjectFull: Eigenfrequencies Type: general Titles: – TitleFull: Vibrations of arbitrary deep and thick polymeric nanocomposite cylindrical panels: Introduction of a novel quasi-3D shell model. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Tang, Lei – PersonEntity: Name: NameFull: Zhou, Dapeng IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 10775463 Numbering: – Type: volume Value: 32 – Type: issue Value: 9/10 Titles: – TitleFull: Journal of Vibration & Control Type: main |
| ResultId | 1 |
