Nonlinear vibration analysis of functionally graded porous plates reinforced by graphene platelets on nonlinear elastic foundations

Huang, Xiaolin (author), Wang, Chengzhe (author), Wang, Jiaheng (author), Wei, Nengguo (author)

This paper presents a nonlinear vibration analysis of functionally graded graphene platelet (GPL) reinforced plates on nonlinear elastic foundations. Uniformly or non-uniformly distributed internal pores were present in the plates. Based on the modified Halpin-Tsai micromechanics model and the extended rule of mixture, the material properties were evaluated. The governing equations, coupled with the effect of nonlinear foundations, were derived by using the higher-order plate theory and general von Kármán-type equations. A two-step perturbation technique was employed to obtain the nonlinear frequency and transient response. After the present method was verified, the effects of pores, GPLs, and elastic foundations were investigated in detail. A new finding is that the influence of the porosity coefficient on the natural frequency and dynamic response is relevant to foundation parameters. Moreover, the influence of the nonlinear foundation parameter can be negligible.

• Language: English
• Keywords: functionally graded porous nanocomposites, graphene platelets, pores, nonlinear elastic foundation, nonlinear vibration, transient response
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Publication date: 01.09.2022
• Year: 2022
• Number of pages: Str. 571-582
• Numbering: Vol. 68, no. 9
• PID: 20.500.12556/RUL-141975
• UDC: 534
• ISSN on article: 0039-2480
• DOI: 10.5545/sv-jme.2022.274
• COBISS.SI-ID: 125437187
• Publication date in RUL: 13.10.2022

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 vibracij funkcionalno gradientnih poroznih plošč, ojačenih s ploščicami grafena, na nelinearnih elastičnih temeljih
• Keywords: funkcionalno gradientni porozni nanokompoziti, ploščice grafena, pore, nelinearni elastični temelji, nelinearne vibracije, prehodni odgovor

Projects

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

• Funder: Other - Other funder or multiple funders
• Funding programme: Natural Science Foundation of Guangxi
• Project number: 2021GXNSFAA 220087