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A Dynamic Analysis of Porous Coated Functionally Graded Nanoshells Rested on Viscoelastic Medium

Author

Listed:
  • Emad E. Ghandourah

    (Nuclear Engineering Department, Center for Training and Radiation Prevention, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, 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, Mascara 29000, Algeria)

  • Samir Khatir

    (Soete Laboratory, Department of Electrical Energy, Metals, Mechanical Constructions, and Systems, Faculty of Engineering and Architecture, Ghent University, 9000 Gent, Belgium)

  • Abdulsalam M. Alhawsawi

    (Nuclear Engineering Department, Center for Training and Radiation Prevention, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia)

  • Essam M. Banoqitah

    (Nuclear Engineering Department, Center for Training and Radiation Prevention, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia)

  • Mohamed A. Eltaher

    (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia)

Abstract

Theoretical research has numerous challenges, particularly about modeling structures, unlike experimental analysis, which explores the mechanical behavior of complex structures. Therefore, this study suggests a new model for functionally graded shell structures called “Tri-coated FGM” using a spatial variation of material properties to investigate the free vibration response incorporating the porosities and microstructure-dependent effects. Two types of tri-coated FG shells are investigated, hardcore and softcore FG shells, and five distribution patterns are proposed. A novel modified field of displacement is proposed by reducing the number of variables from five to four by considering the shear deformation effect. The shell is rested on a viscoelastic Winkler/Pasternak foundation. An analytical solution based on the Galerkin approach is developed to solve the equations of motion derived by applying the principle of Hamilton. The proposed solution is addressed to study different boundary conditions. The current study conducts an extensive parametric analysis to investigate the influence of several factors, including coated FG nanoshell types and distribution patterns, gradient material distribution, porosities, length scale parameter (nonlocal), material scale parameter (gradient), nanoshell geometry, and elastic foundation variation on the fundamental frequencies. The provided results show the accuracy of the developed technique using different boundary conditions.

Suggested Citation

  • Emad E. Ghandourah & Ahmed Amine Daikh & Samir Khatir & Abdulsalam M. Alhawsawi & Essam M. Banoqitah & Mohamed A. Eltaher, 2023. "A Dynamic Analysis of Porous Coated Functionally Graded Nanoshells Rested on Viscoelastic Medium," Mathematics, MDPI, vol. 11(10), pages 1-26, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2407-:d:1153102
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    References listed on IDEAS

    as
    1. Ammar Melaibari & Ahmed Amine Daikh & Muhammad Basha & Ahmed W. Abdalla & Ramzi Othman & Khalid H. Almitani & Mostafa A. Hamed & Alaa Abdelrahman & Mohamed A. Eltaher, 2022. "Free Vibration of FG-CNTRCs Nano-Plates/Shells with Temperature-Dependent Properties," Mathematics, MDPI, vol. 10(4), pages 1-24, February.
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    Cited by:

    1. Ali Farajpour & Wendy V. Ingman, 2023. "In-Plane Wave Propagation Analysis of Human Breast Lesions Using a Higher-Order Nonlocal Model and Deep Learning," Mathematics, MDPI, vol. 11(23), pages 1-24, November.

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