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http://dx.doi.org/10.12989/sem.2022.83.6.771

Investigating dynamic response of porous advanced composite plates resting on Winkler/Pasternak/Kerr foundations using a new quasi-3D HSDT  

Rabhi, Mohamed (Department of Civil Engineering and Hydraulics, Faculty of Technology, University of Saida Dr Moulay Tahar)
Benrahou, Kouider Halim (Materials and Hydrology Laboratory, University of Sidi Bel Abbes)
Yeghnem, Redha (Department of Civil Engineering and Hydraulics, Faculty of Technology, University of Saida Dr Moulay Tahar)
Guerroudj, Hicham Zakaria (Department of Civil Engineering and Hydraulics, Faculty of Technology, University of Saida Dr Moulay Tahar)
Kaci, Abdelhakim (Department of Civil Engineering and Hydraulics, Faculty of Technology, University of Saida Dr Moulay Tahar)
Tounsi, Abdelouahed (Materials and Hydrology Laboratory, University of Sidi Bel Abbes)
Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad)
Publication Information
Structural Engineering and Mechanics / v.83, no.6, 2022 , pp. 771-788 More about this Journal
Abstract
This research investigates the free vibration of porous advanced composite plates resting on Winkler/Pasternak/ Kerr foundations by using a new hyperbolic quasi three dimensional (quasi-3D) shear deformation theory. The present theory, which does not require shear correction factor, accounts for shear deformation and thickness stretching effects by parabolic variation of all displacements across the thickness, and satisfies the stress-free boundary conditions on the upper and lower surfaces of the plate. In this work, we consider imperfect FG plates with porosities embedded within elastic Winkler, Pasternak or Kerr foundations. Implementing an analytical approach, the obtained governing equations from Hamilton's principle according to FG plates are derived. The closed form solutions are obtained by using Navier technique, and natural frequencies of FG plates are found, for simply supported plates, by solving the results of eigenvalue problems. A comprehensive parametric study is presented to evaluate effects of the geometry of material, mode numbers, porosity volume fraction, Power-law index and stiffness of foundations parameters on free vibration characteristics of FG plates.
Keywords
elastic foundations; free vibration; functionally graded plates; porosity; quasi-3D HSDT;
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Times Cited By KSCI : 27  (Citation Analysis)
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