IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v194y2025ics0960077925002346.html
   My bibliography  Save this article

Influences of the graphene reinforcements on the natural vibrational properties, nonlinear flutter responses, and the chaotic motions of the FG-GR laminated composite cantilever rectangular variable cross-section plate in the supersonic flow

Author

Listed:
  • Jiang, Y.
  • Wang, Y.
  • Zhang, W.
  • Zhang, Y.F.
  • Lu, S.F.
  • Du, X.

Abstract

Due to the excellent mechanical and lightweight properties of the graphene-reinforced composite structure, it can meet the design requirements of modern aircraft comments. In this paper, the aircraft wings with low aspect ratio are modelled as the functionally graded graphene-reinforced laminated composite cantilever rectangular (FG-GRLCCR) variable cross-section plate. The influences of the graphene reinforcements on the natural vibrational properties, the nonlinear flutter responses, and the chaotic motions of the FG-GRLCCR variable cross-section plate are investigated. The extended Halpin-Tsai model is used to calculate the mechanical parameters for the graphene-reinforced composite materials. The first-order piston theory is applied to simulate the aerodynamic force on the FG-GRLCCR variable cross-section plate in supersonic flow. Considering the classical laminated theory, the von Karman large deformation theory, and the simple harmonic excitation, the dynamic partial differential equations for the FG-GRLCCR variable cross-section plate are derived by the Hamilton principle. The nonlinear ordinary partial equations of the system are given based on the Galerkin truncation technique. The frequency loci veering phenomenon and vibrational mode interaction for the FG-GRLCCR variable cross-section plate are obtained by the Rayleigh-Ritz method. The nonlinear flutter responses of the FG-GRLCCR variable cross-section plate are analyzed before and after critical flutter pressure. The bifurcation diagrams, Maximum Lyapunov exponent diagram, phase diagram, waveform diagram, and Poincaré cross-section diagram of the system are depicted for investigating the influence the graphene reinforcements on the nonlinear dynamic responses. The results showed that the graphene reinforcements and distributed patterns can change the frequency loci veering phenomenon, improve the critical flutter pressure and reduce the occurrence of chaotic motions of the FG-GRLCCR variable cross-section plate.

Suggested Citation

  • Jiang, Y. & Wang, Y. & Zhang, W. & Zhang, Y.F. & Lu, S.F. & Du, X., 2025. "Influences of the graphene reinforcements on the natural vibrational properties, nonlinear flutter responses, and the chaotic motions of the FG-GR laminated composite cantilever rectangular variable c," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    • Handle: RePEc:eee:chsofr:v:194:y:2025:i:c:s0960077925002346
    DOI: 10.1016/j.chaos.2025.116221
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925002346
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116221?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:194:y:2025:i:c:s0960077925002346. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.