Free vibration analysis of graphene-reinforced FGM microplates under different boundary conditions
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 us...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
The University of Danang
2024-11-01
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| Series: | Tạp chí Khoa học và Công nghệ |
| Subjects: | |
| Online Access: | https://jst-ud.vn/jst-ud/article/view/9540 |
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| Summary: | 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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| ISSN: | 1859-1531 |