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A Dynamic Analysis of Randomly Oriented Functionally Graded Carbon Nanotubes/Fiber-Reinforced Composite Laminated Shells with Different Geometries

Author

Listed:
  • Ammar Melaibari

    (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah 80204, Saudi Arabia)

  • Ahmed Amine Daikh

    (Department of Technology, University Centre of Naama, Naama 45000, Algeria
    Laboratoire d’Etude des Structures et de Mécanique des Matériaux, Département de Génie Civil, Faculté des Sciences et de la Technologie, Université Mustapha Stambouli, B.P. 305, R.P., Mascara 29000, Algeria)

  • Muhammad Basha

    (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah 80204, Saudi Arabia)

  • Ahmed Wagih

    (Mechanical Design and Production Department, Faculty of Engineering, Zagazig University, Zagazig 44519, Egypt)

  • Ramzi Othman

    (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah 80204, Saudi Arabia)

  • Khalid H. Almitani

    (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah 80204, Saudi Arabia)

  • Mostafa A. Hamed

    (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah 80204, Saudi Arabia)

  • Alaa Abdelrahman

    (Mechanical Design and Production Department, Faculty of Engineering, Zagazig University, Zagazig 44519, Egypt)

  • Mohamed A. Eltaher

    (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah 80204, Saudi Arabia
    Mechanical Design and Production Department, Faculty of Engineering, Zagazig University, Zagazig 44519, Egypt)

Abstract

The present study demonstrates the free vibration behavior of composite laminated shells reinforced by both randomly oriented single-walled carbon nanotubes (SWCNTs) and functionally graded fibers. The shell structures with different principal radii of curvature are considered, such as cylindrical, spherical, elliptical–paraboloid shell, hyperbolic–paraboloid shell, and plate. The volume fraction of the fibers has a linear variation along the shell thickness from layer to layer, while the volume fraction of CNTs is constant in all shell layers and uniformly distributed. The fiber-reinforced elements are distributed with three functions which are V-distribution, O-distribution, and X-distribution in addition to the uniform distribution. A numerical analysis was carried out systematically to validate the proposed solution. A new analytical solution is presented based on the Galerkin approach for shells and is exploited to illustrate the influence of some factors on the free vibration behavior of CNTs/fibe-reinforced composite (CNTs/F-RC) laminated shells, including the distributions and volume fractions, various boundary conditions, and geometrical properties of the reinforcement materials. The proposed solution is shown to be an effective theoretical tool to analyze the free vibration response of shells.

Suggested Citation

  • Ammar Melaibari & Ahmed Amine Daikh & Muhammad Basha & Ahmed Wagih & Ramzi Othman & Khalid H. Almitani & Mostafa A. Hamed & Alaa Abdelrahman & Mohamed A. Eltaher, 2022. "A Dynamic Analysis of Randomly Oriented Functionally Graded Carbon Nanotubes/Fiber-Reinforced Composite Laminated Shells with Different Geometries," Mathematics, MDPI, vol. 10(3), pages 1-24, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:408-:d:736181
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    References listed on IDEAS

    as
    1. Youssef Boutahar & Nadhir Lebaal & David Bassir, 2021. "A Refined Theory for Bending Vibratory Analysis of Thick Functionally Graded Beams," Mathematics, MDPI, vol. 9(12), pages 1-16, June.
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    Cited by:

    1. Yunhe Zou & Yaser Kiani, 2023. "Vibrations of Nonlocal Polymer-GPL Plates at Nanoscale: Application of a Quasi-3D Plate Model," Mathematics, MDPI, vol. 11(19), pages 1-18, September.
    2. Emad E. Ghandourah & Ahmed A. Daikh & Abdulsalam M. Alhawsawi & Othman A. Fallatah & Mohamed A. Eltaher, 2022. "Bending and Buckling of FG-GRNC Laminated Plates via Quasi-3D Nonlocal Strain Gradient Theory," Mathematics, MDPI, vol. 10(8), pages 1-37, April.
    3. Gamal S. Abdelhaffez & Ahmed Amine Daikh & Hussein A. Saleem & Mohamed A. Eltaher, 2023. "Buckling of Coated Functionally Graded Spherical Nanoshells Rested on Orthotropic Elastic Medium," Mathematics, MDPI, vol. 11(2), pages 1-25, January.
    4. Ammar Melaibari & Salwa A. Mohamed & Amr E. Assie & Rabab A. Shanab & Mohamed A. Eltaher, 2022. "Free Vibration Characteristics of Bidirectional Graded Porous Plates with Elastic Foundations Using 2D-DQM," Mathematics, MDPI, vol. 11(1), pages 1-26, December.

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