Nonlinear Free Vibration Analysis of Functionally Graded Porous Conical Shells Reinforced with Graphene Nanoplatelets

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HUANG, Xiaolin ;WEI, Nengguo ;WANG, Chengzhe ;ZHANG, Xuejing .
Nonlinear Free Vibration Analysis of Functionally Graded Porous Conical Shells Reinforced with Graphene Nanoplatelets. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 70, n.3-4, p. 181-193, december 2023. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/nonlinear-free-vibration-analysis-of-functionally-graded-porous-conical-shells-reinforced-with-graphene-nanoplatelets/>. Date accessed: 20 dec. 2024. 
doi:http://dx.doi.org/10.5545/sv-jme.2023.825.
Huang, X., Wei, N., Wang, C., & Zhang, X.
(2024).
Nonlinear Free Vibration Analysis of Functionally Graded Porous Conical Shells Reinforced with Graphene Nanoplatelets.
Strojniški vestnik - Journal of Mechanical Engineering, 70(3-4), 181-193.
doi:http://dx.doi.org/10.5545/sv-jme.2023.825
@article{sv-jmesv-jme.2023.825,
	author = {Xiaolin  Huang and Nengguo  Wei and Chengzhe  Wang and Xuejing  Zhang},
	title = {Nonlinear Free Vibration Analysis of Functionally Graded Porous Conical Shells Reinforced with Graphene Nanoplatelets},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {70},
	number = {3-4},
	year = {2024},
	keywords = {nonlinear vibration; truncated conical shell; graphene nanoplatelet; porous materials; elastic foundation; },
	abstract = {The nonlinear vibration analysis of functionally graded reinforced with graphene platelet (FG-GRC) porous truncated conical shells surrounded by the Winkler-Pasternak elastic foundation is presented in this paper. An improved model for evaluating the material properties of porous composites is proposed. Three types of porous distribution and three patterns of graphene nanoplatelets (GPLs) dispersion are estimated. Coupled with the effect of the Winkler-Pasternak elastic foundation, the nonlinear governing equations are developed by using the Hamilton principle. The Galerkin integrated technique is employed to obtain the linear and nonlinear frequencies of the shells. After the present method is validated, the effects of the pores, GPLs, the Winkler-Pasternak foundation, and the semi-vertex are investigated in detail. The results show that the linear frequency can be raised by increasing the values of the mass volume of the GPL and foundation parameters. In contrast, the ratio of nonlinear to linear frequency declines as the mass volume of the GPLs and foundation parameters rises. Furthermore, it is found that the minimum ratio of nonlinear to linear frequency can be obtained as the semi-vertex angle is about 55º, and the effect of porosity distribution on the linear and linear frequencies might be neglected.},
	issn = {0039-2480},	pages = {181-193},	doi = {10.5545/sv-jme.2023.825},
	url = {https://www.sv-jme.eu/article/nonlinear-free-vibration-analysis-of-functionally-graded-porous-conical-shells-reinforced-with-graphene-nanoplatelets/}
}
Huang, X.,Wei, N.,Wang, C.,Zhang, X.
2024 December 70. Nonlinear Free Vibration Analysis of Functionally Graded Porous Conical Shells Reinforced with Graphene Nanoplatelets. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 70:3-4
%A Huang, Xiaolin 
%A Wei, Nengguo 
%A Wang, Chengzhe 
%A Zhang, Xuejing 
%D 2024
%T Nonlinear Free Vibration Analysis of Functionally Graded Porous Conical Shells Reinforced with Graphene Nanoplatelets
%B 2024
%9 nonlinear vibration; truncated conical shell; graphene nanoplatelet; porous materials; elastic foundation; 
%! Nonlinear Free Vibration Analysis of Functionally Graded Porous Conical Shells Reinforced with Graphene Nanoplatelets
%K nonlinear vibration; truncated conical shell; graphene nanoplatelet; porous materials; elastic foundation; 
%X The nonlinear vibration analysis of functionally graded reinforced with graphene platelet (FG-GRC) porous truncated conical shells surrounded by the Winkler-Pasternak elastic foundation is presented in this paper. An improved model for evaluating the material properties of porous composites is proposed. Three types of porous distribution and three patterns of graphene nanoplatelets (GPLs) dispersion are estimated. Coupled with the effect of the Winkler-Pasternak elastic foundation, the nonlinear governing equations are developed by using the Hamilton principle. The Galerkin integrated technique is employed to obtain the linear and nonlinear frequencies of the shells. After the present method is validated, the effects of the pores, GPLs, the Winkler-Pasternak foundation, and the semi-vertex are investigated in detail. The results show that the linear frequency can be raised by increasing the values of the mass volume of the GPL and foundation parameters. In contrast, the ratio of nonlinear to linear frequency declines as the mass volume of the GPLs and foundation parameters rises. Furthermore, it is found that the minimum ratio of nonlinear to linear frequency can be obtained as the semi-vertex angle is about 55º, and the effect of porosity distribution on the linear and linear frequencies might be neglected.
%U https://www.sv-jme.eu/article/nonlinear-free-vibration-analysis-of-functionally-graded-porous-conical-shells-reinforced-with-graphene-nanoplatelets/
%0 Journal Article
%R 10.5545/sv-jme.2023.825
%& 181
%P 13
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 70
%N 3-4
%@ 0039-2480
%8 2023-12-20
%7 2023-12-20
Huang, Xiaolin, Nengguo  Wei, Chengzhe  Wang, & Xuejing  Zhang.
"Nonlinear Free Vibration Analysis of Functionally Graded Porous Conical Shells Reinforced with Graphene Nanoplatelets." Strojniški vestnik - Journal of Mechanical Engineering [Online], 70.3-4 (2024): 181-193. Web.  20 Dec. 2024
TY  - JOUR
AU  - Huang, Xiaolin 
AU  - Wei, Nengguo 
AU  - Wang, Chengzhe 
AU  - Zhang, Xuejing 
PY  - 2024
TI  - Nonlinear Free Vibration Analysis of Functionally Graded Porous Conical Shells Reinforced with Graphene Nanoplatelets
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2023.825
KW  - nonlinear vibration; truncated conical shell; graphene nanoplatelet; porous materials; elastic foundation; 
N2  - The nonlinear vibration analysis of functionally graded reinforced with graphene platelet (FG-GRC) porous truncated conical shells surrounded by the Winkler-Pasternak elastic foundation is presented in this paper. An improved model for evaluating the material properties of porous composites is proposed. Three types of porous distribution and three patterns of graphene nanoplatelets (GPLs) dispersion are estimated. Coupled with the effect of the Winkler-Pasternak elastic foundation, the nonlinear governing equations are developed by using the Hamilton principle. The Galerkin integrated technique is employed to obtain the linear and nonlinear frequencies of the shells. After the present method is validated, the effects of the pores, GPLs, the Winkler-Pasternak foundation, and the semi-vertex are investigated in detail. The results show that the linear frequency can be raised by increasing the values of the mass volume of the GPL and foundation parameters. In contrast, the ratio of nonlinear to linear frequency declines as the mass volume of the GPLs and foundation parameters rises. Furthermore, it is found that the minimum ratio of nonlinear to linear frequency can be obtained as the semi-vertex angle is about 55º, and the effect of porosity distribution on the linear and linear frequencies might be neglected.
UR  - https://www.sv-jme.eu/article/nonlinear-free-vibration-analysis-of-functionally-graded-porous-conical-shells-reinforced-with-graphene-nanoplatelets/
@article{{sv-jme}{sv-jme.2023.825},
	author = {Huang, X., Wei, N., Wang, C., Zhang, X.},
	title = {Nonlinear Free Vibration Analysis of Functionally Graded Porous Conical Shells Reinforced with Graphene Nanoplatelets},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {70},
	number = {3-4},
	year = {2024},
	doi = {10.5545/sv-jme.2023.825},
	url = {https://www.sv-jme.eu/article/nonlinear-free-vibration-analysis-of-functionally-graded-porous-conical-shells-reinforced-with-graphene-nanoplatelets/}
}
TY  - JOUR
AU  - Huang, Xiaolin 
AU  - Wei, Nengguo 
AU  - Wang, Chengzhe 
AU  - Zhang, Xuejing 
PY  - 2023/12/20
TI  - Nonlinear Free Vibration Analysis of Functionally Graded Porous Conical Shells Reinforced with Graphene Nanoplatelets
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 70, No 3-4 (2024): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2023.825
KW  - nonlinear vibration, truncated conical shell, graphene nanoplatelet, porous materials, elastic foundation, 
N2  - The nonlinear vibration analysis of functionally graded reinforced with graphene platelet (FG-GRC) porous truncated conical shells surrounded by the Winkler-Pasternak elastic foundation is presented in this paper. An improved model for evaluating the material properties of porous composites is proposed. Three types of porous distribution and three patterns of graphene nanoplatelets (GPLs) dispersion are estimated. Coupled with the effect of the Winkler-Pasternak elastic foundation, the nonlinear governing equations are developed by using the Hamilton principle. The Galerkin integrated technique is employed to obtain the linear and nonlinear frequencies of the shells. After the present method is validated, the effects of the pores, GPLs, the Winkler-Pasternak foundation, and the semi-vertex are investigated in detail. The results show that the linear frequency can be raised by increasing the values of the mass volume of the GPL and foundation parameters. In contrast, the ratio of nonlinear to linear frequency declines as the mass volume of the GPLs and foundation parameters rises. Furthermore, it is found that the minimum ratio of nonlinear to linear frequency can be obtained as the semi-vertex angle is about 55º, and the effect of porosity distribution on the linear and linear frequencies might be neglected.
UR  - https://www.sv-jme.eu/article/nonlinear-free-vibration-analysis-of-functionally-graded-porous-conical-shells-reinforced-with-graphene-nanoplatelets/
Huang, Xiaolin, Wei, Nengguo, Wang, Chengzhe, AND Zhang, Xuejing.
"Nonlinear Free Vibration Analysis of Functionally Graded Porous Conical Shells Reinforced with Graphene Nanoplatelets" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 70 Number 3-4 (20 December 2023)

Authors

Affiliations

  • Guilin University of Electronic Technology, School of Architecture and Transportation Engineering, China 1

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 70(2024)3-4, 181-193
© The Authors 2024. CC BY 4.0 Int.

https://doi.org/10.5545/sv-jme.2023.825

The nonlinear vibration analysis of functionally graded reinforced with graphene platelet (FG-GRC) porous truncated conical shells surrounded by the Winkler-Pasternak elastic foundation is presented in this paper. An improved model for evaluating the material properties of porous composites is proposed. Three types of porous distribution and three patterns of graphene nanoplatelets (GPLs) dispersion are estimated. Coupled with the effect of the Winkler-Pasternak elastic foundation, the nonlinear governing equations are developed by using the Hamilton principle. The Galerkin integrated technique is employed to obtain the linear and nonlinear frequencies of the shells. After the present method is validated, the effects of the pores, GPLs, the Winkler-Pasternak foundation, and the semi-vertex are investigated in detail. The results show that the linear frequency can be raised by increasing the values of the mass volume of the GPL and foundation parameters. In contrast, the ratio of nonlinear to linear frequency declines as the mass volume of the GPLs and foundation parameters rises. Furthermore, it is found that the minimum ratio of nonlinear to linear frequency can be obtained as the semi-vertex angle is about 55º, and the effect of porosity distribution on the linear and linear frequencies might be neglected.

nonlinear vibration; truncated conical shell; graphene nanoplatelet; porous materials; elastic foundation;