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http://dx.doi.org/10.12989/sss.2018.22.1.121

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

Guerroudj, Hicham Zakaria (University of SAIDA Dr MOULAY TAHAR, Faculty of Technology, Department of Civil Engineering and Hydraulics)
Yeghnem, Redha (University of SAIDA Dr MOULAY TAHAR, Faculty of Technology, Department of Civil Engineering and Hydraulics)
Kaci, Abdelhakim (University of SAIDA Dr MOULAY TAHAR, Faculty of Technology, Department of Civil Engineering and Hydraulics)
Zaoui, Fatima Zohra (Department of Mechanical Engineering, Faculty of Science and Technology, University of MOSTAGANEM)
Benyoucef, Samir (Material and Hydrology Laboratory, University of SIDI BEL ABBES)
Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of SIDI BEL ABBES)
Publication Information
Smart Structures and Systems / v.22, no.1, 2018 , pp. 121-132 More about this Journal
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.
Keywords
free vibration; functionally graded plates; high-order theory; two-parameter elastic foundations; stretching effect;
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Times Cited By KSCI : 13  (Citation Analysis)
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