Academic Journal
Free Vibration Analysis of BDFG-GPLs Plates Partially Supported by Kerr Foundation using a Finite Element Procedure.
| Τίτλος: | Free Vibration Analysis of BDFG-GPLs Plates Partially Supported by Kerr Foundation using a Finite Element Procedure. |
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| Συγγραφείς: | Do, Ngoc-Tu, Le, Truong Son |
| Πηγή: | Journal of Applied & Computational Mechanics; 2026, Vol. 12 Issue 1, p74-91, 18p |
| Θεματικοί όροι: | Free vibration, Finite element method, Shear (Mechanics), Composite materials, Boundary value problems, Mechanical behavior of materials |
| Περίληψη: | The main objective of this article is to examine the free vibration of bi-directional functionally graded graphene platelets reinforced plates (so-called BDFG-GPLs plates) partially supported by Kerr foundation (KF). The governing equation of motion is derived from Hamilton's principle. A finite element procedure based on a refined higher-order shear deformation theory (r-HSDT) is introduced using the four-node rectangular (Q4) element with eight degrees of freedom (DOFs) per node based on the combination of Lagrange functions and Hermite polynomials to degenerate the C1 continuity into C0 continuity of the displacement field by adding new displacement variables. The efficiency and accuracy of the proposed method are confirmed by comparing the obtained results with those available in previously published literature. Then, the influence of geometric parameters, material properties, and boundary conditions (BCs) on the free vibration of BDFG-GPLs plates partially supported by KF is studied in detail. An interesting result is that the incorporation of only 1% volume of GPLs can increase the fundamental frequency of BDFG-GPLs by about 108% compared to the homogeneous epoxy plate. Besides, this work provides new and general insights into the free vibration of BDFG-GPLs plates. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Applied & Computational Mechanics is the property of Shahid Chamran University of Ahvaz 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.) | |
| Βάση Δεδομένων: | Complementary Index |
| FullText | Text: Availability: 0 CustomLinks: – Url: https://resolver.ebsco.com/c/fiv2js/result?sid=EBSCO:edb&genre=article&issn=23834536&ISBN=&volume=12&issue=1&date=20260101&spage=74&pages=74-91&title=Journal of Applied & Computational Mechanics&atitle=Free%20Vibration%20Analysis%20of%20BDFG-GPLs%20Plates%20Partially%20Supported%20by%20Kerr%20Foundation%20using%20a%20Finite%20Element%20Procedure.&aulast=Do%2C%20Ngoc-Tu&id=DOI:10.22055/jacm.2025.48246.5089 Name: Full Text Finder (for New FTF UI) (ns324271) Category: fullText Text: Full Text Finder MouseOverText: Full Text Finder |
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| Header | DbId: edb DbLabel: Complementary Index An: 190595682 RelevancyScore: 1041 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 1041.06604003906 |
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| Items | – Name: Title Label: Title Group: Ti Data: Free Vibration Analysis of BDFG-GPLs Plates Partially Supported by Kerr Foundation using a Finite Element Procedure. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Do%2C+Ngoc-Tu%22">Do, Ngoc-Tu</searchLink><br /><searchLink fieldCode="AR" term="%22Le%2C+Truong+Son%22">Le, Truong Son</searchLink> – Name: TitleSource Label: Source Group: Src Data: Journal of Applied & Computational Mechanics; 2026, Vol. 12 Issue 1, p74-91, 18p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Free+vibration%22">Free vibration</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Shear+%28Mechanics%29%22">Shear (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Composite+materials%22">Composite materials</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+behavior+of+materials%22">Mechanical behavior of materials</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The main objective of this article is to examine the free vibration of bi-directional functionally graded graphene platelets reinforced plates (so-called BDFG-GPLs plates) partially supported by Kerr foundation (KF). The governing equation of motion is derived from Hamilton's principle. A finite element procedure based on a refined higher-order shear deformation theory (r-HSDT) is introduced using the four-node rectangular (Q4) element with eight degrees of freedom (DOFs) per node based on the combination of Lagrange functions and Hermite polynomials to degenerate the C1 continuity into C0 continuity of the displacement field by adding new displacement variables. The efficiency and accuracy of the proposed method are confirmed by comparing the obtained results with those available in previously published literature. Then, the influence of geometric parameters, material properties, and boundary conditions (BCs) on the free vibration of BDFG-GPLs plates partially supported by KF is studied in detail. An interesting result is that the incorporation of only 1% volume of GPLs can increase the fundamental frequency of BDFG-GPLs by about 108% compared to the homogeneous epoxy plate. Besides, this work provides new and general insights into the free vibration of BDFG-GPLs plates. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of Journal of Applied & Computational Mechanics is the property of Shahid Chamran University of Ahvaz 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: 10.22055/jacm.2025.48246.5089 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 18 StartPage: 74 Subjects: – SubjectFull: Free vibration Type: general – SubjectFull: Finite element method Type: general – SubjectFull: Shear (Mechanics) Type: general – SubjectFull: Composite materials Type: general – SubjectFull: Boundary value problems Type: general – SubjectFull: Mechanical behavior of materials Type: general Titles: – TitleFull: Free Vibration Analysis of BDFG-GPLs Plates Partially Supported by Kerr Foundation using a Finite Element Procedure. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Do, Ngoc-Tu – PersonEntity: Name: NameFull: Le, Truong Son IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: 2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 23834536 Numbering: – Type: volume Value: 12 – Type: issue Value: 1 Titles: – TitleFull: Journal of Applied & Computational Mechanics Type: main |
| ResultId | 1 |