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

Mohamed Rabhi, Kouider Halim Benrahou, Redha Yeghnem, Hicham Zakaria Guerroudj, Abdelhakim Kaci, Abdelouahed Tounsi and Muzamal Hussain

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.

Key Words

elastic foundations, free vibration, functionally graded plates, porosity, quasi-3D HSDT

Address

Mohamed Rabhi: Department of Civil Engineering and Hydraulics, Faculty of Technology, University of Saida Dr Moulay Tahar, PO Box 138, City En-Nasr 20000 Saida, Algeria Kouider Halim Benrahou: Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Algeria; Department of Civil Engineering and Public Works, Faculty of Technology, University of Sidi Bel Abbes, Algeria Redha Yeghnem: Department of Civil Engineering and Hydraulics, Faculty of Technology, University of Saida Dr Moulay Tahar, PO Box 138, City En-Nasr 20000 Saida, Algeria; Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Algeria Hicham Zakaria Guerroudj: Department of Civil Engineering and Hydraulics, Faculty of Technology, University of Saida Dr Moulay Tahar, PO Box 138, City En-Nasr 20000 Saida, Algeria Abdelhakim Kaci: Department of Civil Engineering and Hydraulics, Faculty of Technology, University of Saida Dr Moulay Tahar, PO Box 138, City En-Nasr 20000 Saida, Algeria; Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Algeria Abdelouahed Tounsi: Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Algeria; Department of Civil Engineering and Public Works, Faculty of Technology, University of Sidi Bel Abbes , Algeria; YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia Muzamal Hussain: Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan

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