Free vibration behavior of a laminated polymer/GNP/fiber conical shell stiffened with several intermediate rings.

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Title: Free vibration behavior of a laminated polymer/GNP/fiber conical shell stiffened with several intermediate rings.
Authors: Afjaei, Mohamad Amin1 (AUTHOR), Kakavand, Farshad1 (AUTHOR) F.Kakavand@gmail.com, Seidi, Hassan1 (AUTHOR), Taherkhani, Abolfazl1 (AUTHOR)
Source: Mechanics Based Design of Structures & Machines. 2025, Vol. 53 Issue 7, p5013-5036. 24p.
Subjects: Hamilton's principle function, Conical shells, Ring theory, Nanoparticles, Fibers, Free vibration
Abstract: This article is dedicated to the free vibrational analysis of a laminated three-phase polymer/GNP/fiber conical shell stiffened with a desired number of intermediate rings. The shell is fabricated from a feeble but low-density polymeric matrix enriched simultaneously with graphene nanoplatelets (GNPs) and aligned fibers. It is assumed that the volume fractions of the matrix, fibers, and GNPs vary along the thickness direction. The laminated shell is modeled according to Murakami's zig-zag theory and the intermediate rings are considered as rigid structures. The effective elastic constants and the density of the structure are calculated via the Halpin-Tsai model, the rule of mixture, and micromechanical equations. The governing equations, boundary conditions, and compatibility conditions imposed by the ring supports are derived using Hamilton's principle. A semi-analytical solution is presented to calculate the natural frequencies for various boundary conditions. This solution includes an analytical one in the circumferential direction followed by a numerical solution in the meridional direction. The relationships between the natural frequencies and several parameters are discussed in detail including the boundary conditions, number and location of the rings, weight fractions and dispersion patterns of GNPs and fibers. It is observed that to achieve higher natural frequencies, it is more helpful to distribute the GNPs and fibers far from the middle surface and near the inner and outer surfaces of the shell, especially the inner one. [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: Free vibration behavior of a laminated polymer/GNP/fiber conical shell stiffened with several intermediate rings.
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  Data: <searchLink fieldCode="AR" term="%22Afjaei%2C+Mohamad+Amin%22">Afjaei, Mohamad Amin</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kakavand%2C+Farshad%22">Kakavand, Farshad</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> F.Kakavand@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Seidi%2C+Hassan%22">Seidi, Hassan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Taherkhani%2C+Abolfazl%22">Taherkhani, Abolfazl</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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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 7, p5013-5036. 24p.
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  Data: <searchLink fieldCode="DE" term="%22Hamilton's+principle+function%22">Hamilton's principle function</searchLink><br /><searchLink fieldCode="DE" term="%22Conical+shells%22">Conical shells</searchLink><br /><searchLink fieldCode="DE" term="%22Ring+theory%22">Ring theory</searchLink><br /><searchLink fieldCode="DE" term="%22Nanoparticles%22">Nanoparticles</searchLink><br /><searchLink fieldCode="DE" term="%22Fibers%22">Fibers</searchLink><br /><searchLink fieldCode="DE" term="%22Free+vibration%22">Free vibration</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This article is dedicated to the free vibrational analysis of a laminated three-phase polymer/GNP/fiber conical shell stiffened with a desired number of intermediate rings. The shell is fabricated from a feeble but low-density polymeric matrix enriched simultaneously with graphene nanoplatelets (GNPs) and aligned fibers. It is assumed that the volume fractions of the matrix, fibers, and GNPs vary along the thickness direction. The laminated shell is modeled according to Murakami's zig-zag theory and the intermediate rings are considered as rigid structures. The effective elastic constants and the density of the structure are calculated via the Halpin-Tsai model, the rule of mixture, and micromechanical equations. The governing equations, boundary conditions, and compatibility conditions imposed by the ring supports are derived using Hamilton's principle. A semi-analytical solution is presented to calculate the natural frequencies for various boundary conditions. This solution includes an analytical one in the circumferential direction followed by a numerical solution in the meridional direction. The relationships between the natural frequencies and several parameters are discussed in detail including the boundary conditions, number and location of the rings, weight fractions and dispersion patterns of GNPs and fibers. It is observed that to achieve higher natural frequencies, it is more helpful to distribute the GNPs and fibers far from the middle surface and near the inner and outer surfaces of the shell, especially the inner one. [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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    Identifiers:
      – Type: doi
        Value: 10.1080/15397734.2025.2458715
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      – Code: eng
        Text: English
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        PageCount: 24
        StartPage: 5013
    Subjects:
      – SubjectFull: Hamilton's principle function
        Type: general
      – SubjectFull: Conical shells
        Type: general
      – SubjectFull: Ring theory
        Type: general
      – SubjectFull: Nanoparticles
        Type: general
      – SubjectFull: Fibers
        Type: general
      – SubjectFull: Free vibration
        Type: general
    Titles:
      – TitleFull: Free vibration behavior of a laminated polymer/GNP/fiber conical shell stiffened with several intermediate rings.
        Type: main
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            NameFull: Afjaei, Mohamad Amin
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            NameFull: Kakavand, Farshad
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            NameFull: Seidi, Hassan
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            NameFull: Taherkhani, Abolfazl
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          Dates:
            – D: 01
              M: 07
              Text: 2025
              Type: published
              Y: 2025
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