Eigenfrequencies of advanced composite plates using an efficient hybrid quasi-3D shear deformation theory

Hicham Zakaria Guerroudj, Redha Yeghnem, Abdelhakim Kaci, Fatima Zohra Zaoui, Samir Benyoucef and Abdelouahed Tounsi

Abstract

This research investigates the free vibration analysis of advanced composite plates such as functionally graded plates (FGPs) resting on a two-parameter elastic foundations using a hybrid quasi-3D (trigonometric as well as polynomial) higher-order shear deformation theory (HSDT). This present theory, which does not require shear correction factor, accounts for shear deformation and thickness stretching effects by a sinusoidal and parabolic variation of all displacements across the thickness. Governing equations of motion for FGM plates are derived from Hamilton\' s principle. The closed form solutions are obtained by using Navier technique, and natural frequencies are found, for simply supported plates, by solving the results of eigenvalue problems. The accuracy of the present method is verified by comparing the obtained results with First-order shear deformation theory, and other predicted by quasi-3D higher-order shear deformation theories. It can be concluded that the proposed theory is efficient and simple in predicting the natural frequencies of functionally graded plates on elastic foundations.

Key Words

free vibration; functionally graded plates; high-order theory; two-parameter elastic foundations; stretching effect

Address

Hicham Zakaria Guerroudj: University of SAIDA Dr MOULAY TAHAR, Faculty of Technology, Department of Civil Engineering and Hydraulics, PBox 138 City En-Nasr 20000 SAIDA, Algeria; Laboratory of Ressources Hydriques et Environnement, University Dr MOULAY TAHAR, PBox 138 City En-Nasr 20000 SAIDA, Algeria Redha Yeghnem and Abdelhakim Kaci: University of SAIDA Dr MOULAY TAHAR, Faculty of Technology, Department of Civil Engineering and Hydraulics, PBox 138 City En-Nasr 20000 SAIDA, Algeria; Material and Hydrology Laboratory, University of SIDI BEL ABBES, Algeria Fatima Zohra Zaoui: Department of Mechanical Engineering, Faculty of Science and Technology, University of MOSTAGANEM, Algeria Samir Benyoucef: Material and Hydrology Laboratory, University of SIDI BEL ABBES, Algeria Abdelouahed Tounsi: Material 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

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