Free vibration analysis of the structural integrity on the porous functionally graded plates using a novel Quasi-3D hyperbolic high order shear deformation theory

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Published Mar 21, 2023
DOI https://doi.org/10.3221/IGF-ESIS.64.18

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Mohammed Hadj Meliani
LPTPM, Hassiba BenBouali University of Chlef, 02000, Chlef, Algeria
Mohammed Amine Kenanda
ENERGARID Laboratory, Department of Mechanical Engineering, Tahri Mohamed University, 08000 Bechar, Algeria
Fodil Hammadi
Laboratory of Mechanics, Modeling and Experimentation L2ME, Department of Mechanical Engineering, Tahri Mohamed University, 08000 Bechar, Algeria
Zakaria Belabed
Department of Technology, Institute of Science and Technology, University Ctr Naama, 45000 Naama, Algeria

Abstract

In this study, a novel quasi-three dimensional hyperbolic high-order shear deformation theory (quasi-3D HHSDT) is developed for free vibration analysis of porous functionally graded plates (FGPs). There are six unknowns in the current displacement field, and no shear correction factor is required. The mechanical properties are varied continuously through the thickness of porous FG plates using a modified power law function while considering the effect of porosities on the plate’s structural integrity. Two distinct porosity distribution models are considered, including even and uneven porosity distributions. The Navier technique is employed to obtain the closed-form solutions of motion's equations. An exhaustive parametric study is presented to show the influence of the different parameters on the fundamental frequencies.

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    Issue
    Vol. 17 No. 64 (2023): April 2023
    Section
    Analytical, Numerical and Physical Models

    How to Cite

    Hadj Meliani, M., Kenanda, M. A., Hammadi, F. and Belabed, Z. (2023) “Free vibration analysis of the structural integrity on the porous functionally graded plates using a novel Quasi-3D hyperbolic high order shear deformation theory ”, Frattura ed Integrità Strutturale, 17(64), pp. 266–282. doi: 10.3221/IGF-ESIS.64.18.
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