Free Vibration Analysis of Toroidal Shell Segments Reinforced by Graded Graphene in Elastic Medium
DOI:
https://doi.org/10.56294/sctconf2024823Keywords:
Free Vbration, Toroidal Shell, Elastic Foundation, Graphene Platelets, Third-Order Shear Deformation TheoryAbstract
This paper presents an analytical solution for free-vibration analyses of functionally graded graphene platelets (GPL) reinforced composite toroidal shells in an elastic medium. Four continuous distribution patterns of GPL are investigated in this study. The elastic properties of the shell have been calculated from the Halpin-Tsai micro-mechanical relationship. The governing partial differential equations of motion are derived based on the third-order shear deformation shell theory (TSDT). The shell equations are solved by adopting the approximated solution which satisfies simply supported BCs. The influences of the graphene weight fraction, distributions of the volume fraction, the number of waves, and the geometric and foundation parameters on the natural frequency of the toroidal shell segment are studied. It was clear that the FG-X distribution pattern outperformed other types of dispersion. Additionally, the presence of an elastic foundation increases the shell's natural frequency
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