Nonlinear free vibration analysis of functionally graded porous conical shells reinforced with graphene nanoplatelets

Huang, Xiaolin (author), Wei, Nengguo (author), Wang, Chengzhe (author), Zhang, Xuejing (author)

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.

• Language: English
• Keywords: nonlinear vibration, truncated conical shells, graphene nanoplatelets, porous materials, elastic foundation
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: Str. 181-193
• Numbering: Vol. 70, no. 3/4
• PID: 20.500.12556/RUL-155757
• UDC: 531
• ISSN on article: 0039-2480
• DOI: 10.5545/sv-jme.2023.825
• COBISS.SI-ID: 192646403
• Publication date in RUL: 16.04.2024

Record is a part of a journal

• Title: Strojniški vestnik
• Shortened title: Stroj. vestn.
• Publisher: Zveza strojnih inženirjev in tehnikov Slovenije [etc.], = Association of Mechanical Engineers and Technicians of Slovenia [etc.
• ISSN: 0039-2480
• COBISS.SI-ID: 762116

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Title: Analiza nelinearnih prostih vibracij funkcionalno gradientnih poroznih koničnih lupin, ojačenih z grafenskimi nanoploščicami
• Keywords: nelinearne vibracije, prirezana konična lupina, kompoziti, grafenske nanoploščice, pore, elastične podlage

Projects

• Funder: Other - Other funder or multiple funders
• Funding programme: Natural Science Foundation of Guangxi
• Project number: 2021GXNSFAA220087

• Funder: Other - Other funder or multiple funders
• Funding programme: National Natural Science Foundation of China
• Project number: 12162010