Size dependent dynamics of a perforated Timoshenko nanobeam made of viscoelastic material with rotationally restrained ends.
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| Title: | Size dependent dynamics of a perforated Timoshenko nanobeam made of viscoelastic material with rotationally restrained ends. |
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| Authors: | Kadioglu, Hayrullah Gun1 (AUTHOR) hayrullahgunkadioglu@arel.edu.tr, Yayli, Mustafa Ozgur2 (AUTHOR) |
| Source: | Mechanics of Time-Dependent Materials. Jun2026, Vol. 30 Issue 2, p1-20. 20p. |
| Abstract: | In this study, the free vibration behavior of perforated viscoelastic nonlocal Timoshenko beams has been investigated using a semi analytic method based on the Fourier series and the Stokes transformation. First, the geometric structure of the perforated beam was defined; then, by combining the Kelvin–Voigt viscoelastic model with the theory of nonlocal elasticity, the equations of motion describing the system were derived. During the solution phase, the boundary conditions of the beam were reduced to an eigenvalue problem using a semi analytic approach, with spring elements restricting rotation at both ends, and high-accuracy results have been obtained under various boundary conditions. The findings indicate that an increase in the nonlocal scale parameter has a softening effect on structural stiffness, thereby reducing vibration characteristics. Additionally, it is observed that an increase in the number of holes enhances discontinuity along the beam, leading to significant changes in system behavior. It is determined that the viscoelastic damping effect becomes more dominant, particularly under rigid boundary conditions, but weakens as the perforation density increases. The study also reveals that the void ratio, shear deformation, and boundary conditions are in strong interaction with one another. The proposed method offers an effective and reliable methodological approach for the dynamic analysis of perforated nanostructures, thanks to both its high convergence performance and its ability to model different boundary conditions within the same formulation. [ABSTRACT FROM AUTHOR] |
| Copyright of Mechanics of Time-Dependent Materials 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: 194025241 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Size dependent dynamics of a perforated Timoshenko nanobeam made of viscoelastic material with rotationally restrained ends. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Kadioglu%2C+Hayrullah+Gun%22">Kadioglu, Hayrullah Gun</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> hayrullahgunkadioglu@arel.edu.tr</i><br /><searchLink fieldCode="AR" term="%22Yayli%2C+Mustafa+Ozgur%22">Yayli, Mustafa Ozgur</searchLink><relatesTo>2</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Mechanics+of+Time-Dependent+Materials%22">Mechanics of Time-Dependent Materials</searchLink>. Jun2026, Vol. 30 Issue 2, p1-20. 20p. – Name: Abstract Label: Abstract Group: Ab Data: In this study, the free vibration behavior of perforated viscoelastic nonlocal Timoshenko beams has been investigated using a semi analytic method based on the Fourier series and the Stokes transformation. First, the geometric structure of the perforated beam was defined; then, by combining the Kelvin–Voigt viscoelastic model with the theory of nonlocal elasticity, the equations of motion describing the system were derived. During the solution phase, the boundary conditions of the beam were reduced to an eigenvalue problem using a semi analytic approach, with spring elements restricting rotation at both ends, and high-accuracy results have been obtained under various boundary conditions. The findings indicate that an increase in the nonlocal scale parameter has a softening effect on structural stiffness, thereby reducing vibration characteristics. Additionally, it is observed that an increase in the number of holes enhances discontinuity along the beam, leading to significant changes in system behavior. It is determined that the viscoelastic damping effect becomes more dominant, particularly under rigid boundary conditions, but weakens as the perforation density increases. The study also reveals that the void ratio, shear deformation, and boundary conditions are in strong interaction with one another. The proposed method offers an effective and reliable methodological approach for the dynamic analysis of perforated nanostructures, thanks to both its high convergence performance and its ability to model different boundary conditions within the same formulation. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Mechanics of Time-Dependent Materials 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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=194025241 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s11043-026-09885-1 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 20 StartPage: 1 Titles: – TitleFull: Size dependent dynamics of a perforated Timoshenko nanobeam made of viscoelastic material with rotationally restrained ends. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Kadioglu, Hayrullah Gun – PersonEntity: Name: NameFull: Yayli, Mustafa Ozgur IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 13852000 Numbering: – Type: volume Value: 30 – Type: issue Value: 2 Titles: – TitleFull: Mechanics of Time-Dependent Materials Type: main |
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