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Steel and Composite Structures Volume 46, Number 2, February25 2023 , pages 263-277 DOI: https://doi.org/10.12989/scs.2023.46.2.263 |
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Free vibration analysis of multi-directional porous functionally graded sandwich plates |
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Guermit Mohamed Bilal Chami, Amar Kahil, Lazreg Hadji, Royal Madan and Abdelouahed Tounsi
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| Abstract | ||
| Free vibration analysis of multi-directional porous functionally graded (FG) sandwich plate has been performed for two cases namely: FG skin with homogeneous core and FG core with homogeneous skin. Hamilton's principle was employed and the solution was obtained using Navier's technique. This theory imposes traction-free boundary conditions on the surfaces and does not require shear correction factors. The results obtained are validated with those available in the literature. The composition of metal-ceramic-based functionally graded material (FGM) changes in longitudinal and transverse directions according to the power law. Imperfections in the functionally graded material introduced during the fabrication process were modeled with different porosity laws such as evenly, unevenly distributed, and logarithmic uneven distributions. The effect of porosity laws and geometry parameters on the natural frequency was investigated. On comparing the natural frequency of two cases for perfect and imperfect sandwich plates a reverse trend in natural frequency result was seen. The finding shows a multidirectional functionally graded structures perform better compared to uni-directional gradation. Hence, critical grading parameters and imperfection types have been identified which will guide experimentalists and researchers in selecting fabrication routes for improving the performance of such structures. | ||
| Key Words | ||
| FGM sandwich plate; free vibration; multi-directional FGM; Navier's solution; porosity effects | ||
| Address | ||
| Guermit Mohamed Bilal Chami, Amar Kahil:Mouloud Mammeri University, Department of Civil Engineering, Tizi Ouzou 15000, Algeria Lazreg Hadji:1)Department of Civil Engineering, University of Tiaret, BP 78 Zaaroura, Tiaret,14000, Algeria 2)Laboratory of Geomatics and Sustainable Development, University of Tiaret, Algeria Royal Madan:Department of Mechanical Engineering, G H Raisoni Institute of Engineering & Technologie, Nagpur, Maharashtra, India Abdelouahed Tounsi:1)YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea 2)Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia | ||