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Nonlinear free vibration of FGM sandwich plates with porosity under uniaxial compressive loads in thermal environments.

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Title: Nonlinear free vibration of FGM sandwich plates with porosity under uniaxial compressive loads in thermal environments.
Authors: Long, Vu Thanh1 (AUTHOR), Tung, Hoang Van2 (AUTHOR) tunghv@hau.edu.vn
Source: Noise & Vibration Worldwide. Jun/Jul2026, Vol. 57 Issue 6/7, p468-485. 18p.
Subjects: Functionally gradient materials, Porosity, Thermal properties, Composite plates, Compression loads, Shear (Mechanics), Vibration (Mechanics), Frequencies of oscillating systems
Abstract: This paper aims to examine the influences of porosity, initial uniaxial compressive loads and thermal environments on the nonlinear free vibration of functionally graded material (FGM) sandwich plates. The properties of constitutive materials are considered to be temperature dependent and effective properties of porous FGM are estimated using a modified rule of mixture. The pores are dispersed in FGM according to even and uneven distribution types. Governing equations in terms of deflection and stress function are established based on first order shear deformation theory including geometric imperfection and von Kármán nonlinearity. These equations are solved by means of analytical solutions and Galerkin method to derive a nonlinear ordinary differential equation. This differential equation is numerically solved employing the fourth–order Runge–Kutta scheme to determine the frequencies of nonlinear free vibration of sandwich plates. A parametric study is carried out to examine various effects of uniaxial loads, pore volume fraction and distribution, imperfection, thermal environments and in-plane constraints of unloaded edges on the natural frequencies and frequency–amplitude curves. It is found that initial compressive loads decrease natural frequencies and strengthen the frequency nonlinearity of the sandwich plates. Additionally, the frequency nonlinearity is more significant when the unloaded edges are restrained more rigorously and temperature is more elevated. The results also detect that geometric imperfection increases and decreases the frequency ratios in the smaller and larger regions of maximum amplitude of deflection, respectively. [ABSTRACT FROM AUTHOR]
Copyright of Noise & Vibration Worldwide is the property of Sage Publications Inc. 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: Nonlinear free vibration of FGM sandwich plates with porosity under uniaxial compressive loads in thermal environments.
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  Data: <searchLink fieldCode="AR" term="%22Long%2C+Vu+Thanh%22">Long, Vu Thanh</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Tung%2C+Hoang+Van%22">Tung, Hoang Van</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> tunghv@hau.edu.vn</i>
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  Data: <searchLink fieldCode="JN" term="%22Noise+%26+Vibration+Worldwide%22">Noise & Vibration Worldwide</searchLink>. Jun/Jul2026, Vol. 57 Issue 6/7, p468-485. 18p.
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  Data: <searchLink fieldCode="DE" term="%22Functionally+gradient+materials%22">Functionally gradient materials</searchLink><br /><searchLink fieldCode="DE" term="%22Porosity%22">Porosity</searchLink><br /><searchLink fieldCode="DE" term="%22Thermal+properties%22">Thermal properties</searchLink><br /><searchLink fieldCode="DE" term="%22Composite+plates%22">Composite plates</searchLink><br /><searchLink fieldCode="DE" term="%22Compression+loads%22">Compression loads</searchLink><br /><searchLink fieldCode="DE" term="%22Shear+%28Mechanics%29%22">Shear (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Vibration+%28Mechanics%29%22">Vibration (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Frequencies+of+oscillating+systems%22">Frequencies of oscillating systems</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper aims to examine the influences of porosity, initial uniaxial compressive loads and thermal environments on the nonlinear free vibration of functionally graded material (FGM) sandwich plates. The properties of constitutive materials are considered to be temperature dependent and effective properties of porous FGM are estimated using a modified rule of mixture. The pores are dispersed in FGM according to even and uneven distribution types. Governing equations in terms of deflection and stress function are established based on first order shear deformation theory including geometric imperfection and von Kármán nonlinearity. These equations are solved by means of analytical solutions and Galerkin method to derive a nonlinear ordinary differential equation. This differential equation is numerically solved employing the fourth–order Runge–Kutta scheme to determine the frequencies of nonlinear free vibration of sandwich plates. A parametric study is carried out to examine various effects of uniaxial loads, pore volume fraction and distribution, imperfection, thermal environments and in-plane constraints of unloaded edges on the natural frequencies and frequency–amplitude curves. It is found that initial compressive loads decrease natural frequencies and strengthen the frequency nonlinearity of the sandwich plates. Additionally, the frequency nonlinearity is more significant when the unloaded edges are restrained more rigorously and temperature is more elevated. The results also detect that geometric imperfection increases and decreases the frequency ratios in the smaller and larger regions of maximum amplitude of deflection, respectively. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Noise & Vibration Worldwide is the property of Sage Publications Inc. 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: 10.1177/09574565261419561
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 18
        StartPage: 468
    Subjects:
      – SubjectFull: Functionally gradient materials
        Type: general
      – SubjectFull: Porosity
        Type: general
      – SubjectFull: Thermal properties
        Type: general
      – SubjectFull: Composite plates
        Type: general
      – SubjectFull: Compression loads
        Type: general
      – SubjectFull: Shear (Mechanics)
        Type: general
      – SubjectFull: Vibration (Mechanics)
        Type: general
      – SubjectFull: Frequencies of oscillating systems
        Type: general
    Titles:
      – TitleFull: Nonlinear free vibration of FGM sandwich plates with porosity under uniaxial compressive loads in thermal environments.
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          Name:
            NameFull: Long, Vu Thanh
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          Name:
            NameFull: Tung, Hoang Van
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          Dates:
            – D: 01
              M: 06
              Text: Jun/Jul2026
              Type: published
              Y: 2026
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              Value: 57
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              Value: 6/7
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            – TitleFull: Noise & Vibration Worldwide
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