Vibration Characteristics and Unstable Regions of a Functionally Graded GPL-Reinforced Aluminum-Based Truncated Conical Shell with 1:1 Internal Resonance.

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Title: Vibration Characteristics and Unstable Regions of a Functionally Graded GPL-Reinforced Aluminum-Based Truncated Conical Shell with 1:1 Internal Resonance.
Authors: Ma, Wensai1 (AUTHOR) wensaima@163.com, Li, Dongxiao1 (AUTHOR) lidongxiao0712@163.com, Yang, Shaowu2 (AUTHOR) shaowuyang@163.com, Lu, Shufeng1 (AUTHOR) shufenglu@163.com, Song, Xiaojuan3 (AUTHOR) xjsong0603@163.com, Huang, Song1 (AUTHOR) songhuang0908@163.com, Zhang, Wei4 (AUTHOR) sandyzhang9@163.com
Source: International Journal of Structural Stability & Dynamics. 6/30/2026, Vol. 26 Issue 14, p1-40. 40p.
Subjects: Resonance, Conical shells, Dynamic stability, Metallic composites, Sensitivity analysis, Mechanical vibration research, Functionally gradient materials
Abstract: This paper provides a full-scale parametric study on the dynamic characteristics and unstable regions of a functionally graded graphene platelet-reinforced (FG-GPLR) aluminum-based truncated conical shell under 1:1 internal resonance condition. The modified Halpin–Tsai mechanical model is applied to predict the effective physical property parameters of the FG-GPLR aluminum-based truncated conical shell under different graphene distributions (GPL-U, GPL-O, and GPL-X). First, under the influence of temperature, based on the first-order shear deformation theory and von-Karman nonlinear strain–displacement relations, the motion equations of the simply supported FG-GPLR aluminum-based truncated conical shell are obtained using Hamilton's principle and the Galerkin method. Second, by applying the multi-time scale perturbation analysis method, the coupled averaged equations in polar coordinates are derived. Subsequently, amplitude–frequency and force–amplitude response curves are plotted to study the effects of various parameters, including graphene distribution, graphene weight fraction, in-plane excitation amplitude, tuning parameter, structural dimensions of GPLs, temperature, damping coefficients, and phase angle, on the vibration characteristics. Finally, the unstable regions of the zero solution under different parameter variations are analyzed based on the Jacobian matrix. The results indicate that the GPL-X distribution is the optimal graphene distribution. The weight fraction of graphene is the primary factor influencing the vibration characteristics and unstable regions. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Structural Stability & Dynamics is the property of World Scientific Publishing Company 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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DbLabel: Engineering Source
An: 192787888
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  Label: Title
  Group: Ti
  Data: Vibration Characteristics and Unstable Regions of a Functionally Graded GPL-Reinforced Aluminum-Based Truncated Conical Shell with 1:1 Internal Resonance.
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  Data: <searchLink fieldCode="AR" term="%22Ma%2C+Wensai%22">Ma, Wensai</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> wensaima@163.com</i><br /><searchLink fieldCode="AR" term="%22Li%2C+Dongxiao%22">Li, Dongxiao</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> lidongxiao0712@163.com</i><br /><searchLink fieldCode="AR" term="%22Yang%2C+Shaowu%22">Yang, Shaowu</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> shaowuyang@163.com</i><br /><searchLink fieldCode="AR" term="%22Lu%2C+Shufeng%22">Lu, Shufeng</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> shufenglu@163.com</i><br /><searchLink fieldCode="AR" term="%22Song%2C+Xiaojuan%22">Song, Xiaojuan</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> xjsong0603@163.com</i><br /><searchLink fieldCode="AR" term="%22Huang%2C+Song%22">Huang, Song</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> songhuang0908@163.com</i><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Wei%22">Zhang, Wei</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> sandyzhang9@163.com</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Structural+Stability+%26+Dynamics%22">International Journal of Structural Stability & Dynamics</searchLink>. 6/30/2026, Vol. 26 Issue 14, p1-40. 40p.
– Name: Subject
  Label: Subjects
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  Data: <searchLink fieldCode="DE" term="%22Resonance%22">Resonance</searchLink><br /><searchLink fieldCode="DE" term="%22Conical+shells%22">Conical shells</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamic+stability%22">Dynamic stability</searchLink><br /><searchLink fieldCode="DE" term="%22Metallic+composites%22">Metallic composites</searchLink><br /><searchLink fieldCode="DE" term="%22Sensitivity+analysis%22">Sensitivity analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+vibration+research%22">Mechanical vibration research</searchLink><br /><searchLink fieldCode="DE" term="%22Functionally+gradient+materials%22">Functionally gradient materials</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper provides a full-scale parametric study on the dynamic characteristics and unstable regions of a functionally graded graphene platelet-reinforced (FG-GPLR) aluminum-based truncated conical shell under 1:1 internal resonance condition. The modified Halpin–Tsai mechanical model is applied to predict the effective physical property parameters of the FG-GPLR aluminum-based truncated conical shell under different graphene distributions (GPL-U, GPL-O, and GPL-X). First, under the influence of temperature, based on the first-order shear deformation theory and von-Karman nonlinear strain–displacement relations, the motion equations of the simply supported FG-GPLR aluminum-based truncated conical shell are obtained using Hamilton's principle and the Galerkin method. Second, by applying the multi-time scale perturbation analysis method, the coupled averaged equations in polar coordinates are derived. Subsequently, amplitude–frequency and force–amplitude response curves are plotted to study the effects of various parameters, including graphene distribution, graphene weight fraction, in-plane excitation amplitude, tuning parameter, structural dimensions of GPLs, temperature, damping coefficients, and phase angle, on the vibration characteristics. Finally, the unstable regions of the zero solution under different parameter variations are analyzed based on the Jacobian matrix. The results indicate that the GPL-X distribution is the optimal graphene distribution. The weight fraction of graphene is the primary factor influencing the vibration characteristics and unstable regions. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Structural Stability & Dynamics is the property of World Scientific Publishing Company 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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        Value: 10.1142/S0219455426501221
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      – Code: eng
        Text: English
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        PageCount: 40
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      – SubjectFull: Resonance
        Type: general
      – SubjectFull: Conical shells
        Type: general
      – SubjectFull: Dynamic stability
        Type: general
      – SubjectFull: Metallic composites
        Type: general
      – SubjectFull: Sensitivity analysis
        Type: general
      – SubjectFull: Mechanical vibration research
        Type: general
      – SubjectFull: Functionally gradient materials
        Type: general
    Titles:
      – TitleFull: Vibration Characteristics and Unstable Regions of a Functionally Graded GPL-Reinforced Aluminum-Based Truncated Conical Shell with 1:1 Internal Resonance.
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            NameFull: Ma, Wensai
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            – D: 30
              M: 06
              Text: 6/30/2026
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              Y: 2026
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