Free vibration analysis of graphene-reinforced FGM microplates under different boundary conditions
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Keywords:
Free vibration analysis
FGM microplate
elastic foundation
four-variable plate theory
Rayleigh-Ritz method
Abstract
This paper analyzes the free vibration of micro-sized plates placed on the Winkler-Pasternak elastic foundation. The microplate is made from functionally graded material (FGM) and reinforced with graphene nanoplatelets (GPLs). The properties of the new material (GPL-reinforced FGM) are determined using the Halpin-Tsai model and the rule of mixtures. The governing equation for the free vibration of the micro-sized plate on the elastic foundation is developed based on a four-variable plate theory, the modified couple stress theory, and the Rayleigh-Ritz approach. The solution is compared and validated against existing studies, followed by an investigation of the effects of various parameters (material parameters, size-dependent effect, boundary conditions, and foundation coefficients) on the natural frequency of the microplate.
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Published
Nov 30, 2024
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How to Cite
Loi, N. V., and C. T. Binh. “Free Vibration Analysis of Graphene-Reinforced FGM Microplates under Different Boundary Conditions”. The University of Danang - Journal of Science and Technology, vol. 22, no. 11B, Nov. 2024, pp. 70-76, doi:10.31130/ud-jst.2024.523E.
