Free Vibration Analysis of a Functionally Graded Nanoplate (Al2O3/Al): Parametrically Analyzed

Authors Ali Meftah
Affiliations

Center Nour Bachir University, Institute of Technology, Department of Hydraulics and Civil Engineering, 32000 El Bayadh, Algeria

Е-mail genietech2013@yahoo.fr
Issue Volume 17, Year 2025, Number 5
Dates Received 15 August 2025; revised manuscript received 15 October 2025; published online 30 October 2025
Citation Ali Meftah, J. Nano- Electron. Phys. 17 No 5, 05002 (2025)
DOI https://doi.org/10.21272/jnep.17(5).05002
PACS Number(s) 62.20. – x, 62.23.Pq, 46.25.Cc
Keywords Nonlocal elasticity theory, Parametric analysis, FGM nanoplate, Hamilton's principle.
Annotation

This research focuses on the parametric analysis of the free vibrations of a functionally graded material (FGM) nanoplate made of (Al2O3/Al), the material properties of the FGM nanoplate are graded only in the thickness direction. The four-unknown shear deformation theory incorporated in Eringen's nonlocal elasticity theory is employed to deduce the equations of motion from Hamilton's principle. The solutions of simply supported FGM nanoplates are obtained and the results are com-pared with those available in the literature. Detailed numerical analysis is performed to demonstrate the influences of some parameters like nonlocal parameter, aspect ratio, and side-to-thickness ratio on the behavior of FGM nanoplates.

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