Generalized boundary continuous method for the free vibration solution of clamped porous plates.
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| Title: | Generalized boundary continuous method for the free vibration solution of clamped porous plates. |
|---|---|
| Authors: | Laureano, RW.1,2 (AUTHOR), Mantari, JL.2 (AUTHOR) jmantari@utec.edu.pe, Yarasca, J.3 (AUTHOR) |
| Source: | Acta Mechanica. Apr2026, Vol. 237 Issue 4, p1715-1737. 23p. |
| Subjects: | Fourier series, Structural plates, Mechanical vibration research, Taylor's series, Artificial intelligence, Free vibration, Analytical solutions |
| Abstract: | This article presents analytical closed-form solutions for the free vibration response of isotropic and porous plates with fully clamped (C4) boundary conditions. For the first time, the double Fourier series-based boundary continuous method (BCM) and the Carrera unified formulation (CUF) are used to obtain analytical solutions for the highly coupled partial differential equations of motion. The Taylor-like polynomials are employed within the CUF-based displacement field to accurately model the complex behavior of the plate along the thickness direction. The equations of motion and natural boundary conditions are derived by using the principle of virtual displacement (PVD). The BCM is employed to solve the governing equations yielding strong-form (exact in the limit) solutions. The validity and robustness of combining CUF and BCM are assessed by detailed comparison with 3D and 2D references available in the open literature and, where possible, with commercial software. The effects of the number of trigonometric terms m , n of the double Fourier series-based solution, side-to-thickness ratio b / h , porous distribution patterns, and porosity coefficient e 0 on the accuracy and convergence characteristics of the proposed methodology are investigated. Finally, the proposed strategy of solution appears to be suitable for predicting the natural frequencies of structures using data-driven artificial intelligence. [ABSTRACT FROM AUTHOR] |
| Copyright of Acta Mechanica is the property of Springer Nature 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: 192725697 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Generalized boundary continuous method for the free vibration solution of clamped porous plates. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Laureano%2C+RW%2E%22">Laureano, RW.</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Mantari%2C+JL%2E%22">Mantari, JL.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> jmantari@utec.edu.pe</i><br /><searchLink fieldCode="AR" term="%22Yarasca%2C+J%2E%22">Yarasca, J.</searchLink><relatesTo>3</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Acta+Mechanica%22">Acta Mechanica</searchLink>. Apr2026, Vol. 237 Issue 4, p1715-1737. 23p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Fourier+series%22">Fourier series</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+plates%22">Structural plates</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+vibration+research%22">Mechanical vibration research</searchLink><br /><searchLink fieldCode="DE" term="%22Taylor's+series%22">Taylor's series</searchLink><br /><searchLink fieldCode="DE" term="%22Artificial+intelligence%22">Artificial intelligence</searchLink><br /><searchLink fieldCode="DE" term="%22Free+vibration%22">Free vibration</searchLink><br /><searchLink fieldCode="DE" term="%22Analytical+solutions%22">Analytical solutions</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This article presents analytical closed-form solutions for the free vibration response of isotropic and porous plates with fully clamped (C4) boundary conditions. For the first time, the double Fourier series-based boundary continuous method (BCM) and the Carrera unified formulation (CUF) are used to obtain analytical solutions for the highly coupled partial differential equations of motion. The Taylor-like polynomials are employed within the CUF-based displacement field to accurately model the complex behavior of the plate along the thickness direction. The equations of motion and natural boundary conditions are derived by using the principle of virtual displacement (PVD). The BCM is employed to solve the governing equations yielding strong-form (exact in the limit) solutions. The validity and robustness of combining CUF and BCM are assessed by detailed comparison with 3D and 2D references available in the open literature and, where possible, with commercial software. The effects of the number of trigonometric terms m , n of the double Fourier series-based solution, side-to-thickness ratio b / h , porous distribution patterns, and porosity coefficient e 0 on the accuracy and convergence characteristics of the proposed methodology are investigated. Finally, the proposed strategy of solution appears to be suitable for predicting the natural frequencies of structures using data-driven artificial intelligence. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Acta Mechanica is the property of Springer Nature 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: 10.1007/s00707-025-04499-z Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 23 StartPage: 1715 Subjects: – SubjectFull: Fourier series Type: general – SubjectFull: Structural plates Type: general – SubjectFull: Mechanical vibration research Type: general – SubjectFull: Taylor's series Type: general – SubjectFull: Artificial intelligence Type: general – SubjectFull: Free vibration Type: general – SubjectFull: Analytical solutions Type: general Titles: – TitleFull: Generalized boundary continuous method for the free vibration solution of clamped porous plates. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Laureano, RW. – PersonEntity: Name: NameFull: Mantari, JL. – PersonEntity: Name: NameFull: Yarasca, J. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: Apr2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00015970 Numbering: – Type: volume Value: 237 – Type: issue Value: 4 Titles: – TitleFull: Acta Mechanica Type: main |
| ResultId | 1 |
