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Structural Engineering and Mechanics Volume 82, Number 2, April25 2022 , pages 151-161 DOI: https://doi.org/10.12989/sem.2022.82.2.151 |
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Influence of the distribution pattern of porosity on the free vibration of functionally graded plates |
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Lazreg Hadji, Ali Fallah and Mohammad Mohammadi Aghdam
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| Abstract | ||
| In this study, the effect of porosity distribution pattern on the free vibration analysis of porous FG plates with various boundary conditions is studied. The material properties of the plate and the porosities within the plate are considered to vary continuously through the thickness direction according to the volume fraction of constituents defined by the modified rule of the mixture, this includes porosity volume fraction with four different types of porosity distribution over the cross-section. The governing partial differential equation of motion for the free vibration analysis is obtained using hyperbolic shear deformation theory. An analytical solution is presented for the governing PDEs for various boundary conditions. Results of the presented solution are compared and validated by the available results in the literature. Moreover, the effects of material and porosity distribution and geometrical parameters on vibrational properties are investigated. | ||
| Key Words | ||
| free vibration; functionally graded materials; Hamilton's principle; porosity | ||
| Address | ||
| Lazreg Hadji: Department of Civil Engineering, University of Tiaret, BP 78 Zaaroura, Tiaret, 14000, Algeria; Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City 70000, Vietnam Ali Fallah: Sabanci University Integrated Manufacturing Technologies Research and Application Center, Istanbul, 34906, Turkey Mohammad Mohammadi Aghdam: Mechanical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran | ||