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Free Vibration Analyses of Stiffened Functionally Graded Graphene-Reinforced Composite Multilayer Cylindrical Panel

Author

Listed:
  • Yuhua Zhou

    (Institute of Advanced Manufacturing and Modern Equipment Technology, Jiangsu University, Zhenjiang 212000, China)

  • Yanhu Zhang

    (Institute of Advanced Manufacturing and Modern Equipment Technology, Jiangsu University, Zhenjiang 212000, China)

  • Brighton Nyasha Chirukam

    (School of Mechanical Engineering, Xi’an Technological University, Xi’an 710021, China)

  • Jianwei Li

    (Institute of Advanced Manufacturing and Modern Equipment Technology, Jiangsu University, Zhenjiang 212000, China)

  • Congshan Lu

    (School of Mechanical Engineering, Jiangsu University, Zhenjiang 212000, China)

  • Masoud Babaei

    (Department of Mechanical Engineering, University of Eyvanekey, Eyvanekey 99888-35918, Iran)

  • Kamran Asemi

    (Department of Mechanical Engineering, Islamic Azad University, North Tehran Branch, Tehran 1477893855, Iran)

Abstract

In this paper, the free vibration response of a stiffened functionally graded graphene nanoplatelet (GPL)-reinforced composite multilayer cylindrical shell panel is studied for the first time. The shell is stiffened by both stringers and rings. Additionally, the effect of reinforcing the shell panel, ring and stinger with GPLs is independently studied. Halpin–Tsai relations are employed to evaluate the mechanical properties of the shell panel, rings and stringers. The first-order shear deformation shell theory, accompanied by the Lekhnitsky smeared stiffener model, using the numerical finite element method and Hamilton principle, is employed to develop the governing motion equations of the shell panel. Four different types of GPL patterns, including FG-A, FG-X, FG-O and UD, are assumed across the thickness of the shell panel, rings and stringers. The effects of different factors, including various weight fractions and patterns of GPLs nanofillers, the geometry of the shell panel and stiffeners and two displacement boundary conditions, on the natural frequencies of the shell panel, have been studied.

Suggested Citation

  • Yuhua Zhou & Yanhu Zhang & Brighton Nyasha Chirukam & Jianwei Li & Congshan Lu & Masoud Babaei & Kamran Asemi, 2023. "Free Vibration Analyses of Stiffened Functionally Graded Graphene-Reinforced Composite Multilayer Cylindrical Panel," Mathematics, MDPI, vol. 11(17), pages 1-18, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:17:p:3662-:d:1224595
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    References listed on IDEAS

    as
    1. Xue-Qin Li & Wei Zhang & Xiao-Dong Yang & Lu-Kai Song, 2019. "A Unified Approach of Free Vibration Analysis for Stiffened Cylindrical Shell with General Boundary Conditions," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-14, July.
    2. Shaoping Bi & Enming Zhang & Masoud Babaei & Francesco Tornabene & Rossana Dimitri, 2023. "The Influence of GPL Reinforcements on the Post-Buckling Behavior of FG Porous Rings Subjected to an External Pressure," Mathematics, MDPI, vol. 11(11), pages 1-21, May.
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