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Dynamic analysis of viscoelastic functionally graded nanoplate.

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Title: Dynamic analysis of viscoelastic functionally graded nanoplate.
Authors: Özbey, Mehmet Bugra1 (AUTHOR), Calim, Faruk Firat1 (AUTHOR) ffcalim@atu.edu.tr
Source: Mechanics Based Design of Structures & Machines. 2025, Vol. 53 Issue 6, p4359-4383. 25p.
Subjects: Shear (Mechanics), Hamilton's principle function, Free vibration, Partial differential equations, Kinetic energy, Functionally gradient materials
Abstract: In this article, the dynamic behavior of nanoplates under time-dependent load is investigated, focusing on functionally graded viscoelastic materials and nanoscale effects. Eringen's nonlocal elasticity theory is utilized to examine mechanical response of the nanoplate. Hamilton's principle is utilized to derive the equations of motion, taking into account both kinetic and potential energy aspects. The obtained complex partial differential equations are then solved employing Navier method and provides an efficient way to obtain analytical solutions. The study initially performed a free vibration analysis for functionally graded nanoplate, comparing the obtained results with those available in the literature to validate the developed method. Following this validation, a parametric analysis was conducted to examine the influence of both nonlocal parameter, which accounts for nanoscale effects, and power law exponent governing material gradation on free vibration behavior of functionally graded nanoplate. Finally, as the original contribution of this study, a damped forced vibration analysis was carried out within the scope of the parametric study, investigating the effects of power law exponents, viscoelastic parameters, nonlocal parameters, and various geometric properties on functionally graded viscoelastic nanoplates' the displacement-time relationship and maximum displacements. [ABSTRACT FROM AUTHOR]
Copyright of Mechanics Based Design of Structures & Machines is the property of Taylor & Francis 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.)
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  Data: Dynamic analysis of viscoelastic functionally graded nanoplate.
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  Data: <searchLink fieldCode="JN" term="%22Mechanics+Based+Design+of+Structures+%26+Machines%22">Mechanics Based Design of Structures & Machines</searchLink>. 2025, Vol. 53 Issue 6, p4359-4383. 25p.
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– Name: Abstract
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  Data: In this article, the dynamic behavior of nanoplates under time-dependent load is investigated, focusing on functionally graded viscoelastic materials and nanoscale effects. Eringen's nonlocal elasticity theory is utilized to examine mechanical response of the nanoplate. Hamilton's principle is utilized to derive the equations of motion, taking into account both kinetic and potential energy aspects. The obtained complex partial differential equations are then solved employing Navier method and provides an efficient way to obtain analytical solutions. The study initially performed a free vibration analysis for functionally graded nanoplate, comparing the obtained results with those available in the literature to validate the developed method. Following this validation, a parametric analysis was conducted to examine the influence of both nonlocal parameter, which accounts for nanoscale effects, and power law exponent governing material gradation on free vibration behavior of functionally graded nanoplate. Finally, as the original contribution of this study, a damped forced vibration analysis was carried out within the scope of the parametric study, investigating the effects of power law exponents, viscoelastic parameters, nonlocal parameters, and various geometric properties on functionally graded viscoelastic nanoplates' the displacement-time relationship and maximum displacements. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mechanics Based Design of Structures & Machines is the property of Taylor & Francis 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:
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      – Type: doi
        Value: 10.1080/15397734.2024.2449481
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 25
        StartPage: 4359
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      – SubjectFull: Shear (Mechanics)
        Type: general
      – SubjectFull: Hamilton's principle function
        Type: general
      – SubjectFull: Free vibration
        Type: general
      – SubjectFull: Partial differential equations
        Type: general
      – SubjectFull: Kinetic energy
        Type: general
      – SubjectFull: Functionally gradient materials
        Type: general
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      – TitleFull: Dynamic analysis of viscoelastic functionally graded nanoplate.
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            NameFull: Özbey, Mehmet Bugra
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            NameFull: Calim, Faruk Firat
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            – D: 01
              M: 06
              Text: 2025
              Type: published
              Y: 2025
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            – TitleFull: Mechanics Based Design of Structures & Machines
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