Free Vibration Analysis of Toroidal Shell Segments Reinforced by Graded Graphene in Elastic Medium-Reference-Cited by-同舟云学术

Free Vibration Analysis of Toroidal Shell Segments Reinforced by Graded Graphene in Elastic Medium

Published:2024-01-01 Issue: Volume:3 Page:823
ISSN:2953-4860
Container-title:Salud, Ciencia y Tecnología - Serie de Conferencias
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Short-container-title:Salud, Ciencia y Tecnología - Serie de Conferencias

Author:

Khalaf Ahmed S.,Hasan Hamad M.

Abstract

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

Publisher

Salud, Ciencia y Tecnologia

Reference17 articles.

1. M. Stein and J. A. McElman, “Buckling of segments of toroidal shells,” AIAA J., vol. 3, no. 9, pp. 1704–1709, 1965, doi: 10.2514/3.55185.

2. B. H. Dao, N. G. Dinh, and T. I. Tran, “Buckling Analysis of Eccentrically Stiffened Functionally Graded Toroidal Shell Segments under Mechanical Load,” J. Eng. Mech., vol. 142, no. 1, pp. 1–10, 2016, doi: 10.1061/(asce)em.1943-7889.0000964.

3. D. H. Bich, D. G. Ninh, and T. I. Thinh, “Non-linear buckling analysis of FGM toroidal shell segments filled inside by an elastic medium under external pressure loads including temperature effects,” Compos. Part B Eng., vol. 87, pp. 75–91, Feb. 2016, doi: 10.1016/j.compositesb.2015.10.021.

4. D. Huy Bich, D. Van Dung, V. H. Nam, and N. Thi Phuong, “Nonlinear static and dynamic buckling analysis of imperfect eccentrically stiffened functionally graded circular cylindrical thin shells under axial compression,” Int. J. Mech. Sci., vol. 74, pp. 190–200, 2013, doi: 10.1016/j.ijmecsci.2013.06.002.

5. V. L. Nguyen, M. T. Tran, S. Limkatanyu, H. Mohammad-Sedighi, and J. Rungamornrat, “Reddy’s third-order shear deformation shell theory for free vibration analysis of rotating stiffened advanced nanocomposite toroidal shell segments in thermal environments,” Acta Mech., vol. 233, no. 11, pp. 4659–4684, 2022, doi: 10.1007/s00707-022-03347-8.