Analyzing Vibration Behavior of Nano FGM (Si3N4/SUS304) Plates: Impact of Homogenization Models and Nano Parameters
| Authors | T. Messas1 , B. Rebai1, K. Mansouri2,3 , M. Chitour2 , A. Berkia2 , B. Litouche4 |
| Affiliations |
1University Abbes Laghrour, Civil Engineering Department, 40000 Khenchela, Algeria 2University Abbes Laghrour, Mechanical Engineering Department, 40000 Khenchela, Algeria 3Laboratory of Engineering and Sciences of Advanced Materials (ISMA), 40000 Khenchela, Algeria 4University Center Abdelhafid Boussouf, Mechanic and ElectroMechanicDepartment, 43000 Mila, Algeria |
| Е-mail | billel.rebai@univ-khenchela.dz |
| Issue | Volume 15, Year 2023, Number 6 |
| Dates | Received 15 September 2023; revised manuscript received 22 December 2023; published online27 December 2023 |
| Citation | T. Messas, B. Rebai, et al., J. Nano- Electron. Phys. 15 No 6, 06018 (2023) |
| DOI | https://doi.org/10.21272/jnep.15(6).06018 |
| PACS Number(s) | 77.84. – s, 77.84.Lf, 78.66.Sq |
| Keywords | Functionally Graded Material, Small-Scale Length Parameter, Homogenization Models, Natural Frequency, Vibrational Behavior. |
| Annotation |
This study investigates the response of small-scale length parameters and homogenization models of a simply supported nano-plate composed of functionally graded material. The natural frequency is presented for all cases, and the effect of different modes (Voigt, Reuss, LRVE, and Tamura), thickness ratio, and nonlocal parameter on the natural frequency is analyzed. The results show that the homogenization scheme is more influential in the vibrational response of FGM nanoplate with lower aspect ratios, and an increase in the small scale parameter causes a decrease in the natural frequency. To derive the governing equations and resolve them, the virtual work principle and Navier's model were employed. The accuracy of the proposed analytical model was verified by comparing the results with those obtained from other models available in the literature. |
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