Free vibration analysis of graphene sheets on elastic matrix

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Demir C., AKGÖZ B., ERDINC M. C., Mercan K., CİVALEK Ö.

JOURNAL OF THE FACULTY OF ENGINEERING AND ARCHITECTURE OF GAZI UNIVERSITY, vol.32, no.2, pp.551-562, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 2
  • Publication Date: 2017
  • Doi Number: 10.17341/gazimmfd.322182
  • Journal Name: JOURNAL OF THE FACULTY OF ENGINEERING AND ARCHITECTURE OF GAZI UNIVERSITY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.551-562
  • Keywords: Nanotechnology, graphene sheets, vibration, size effect, DISCRETE SINGULAR CONVOLUTION, COUPLE STRESS THEORY, FUNCTIONALLY GRADED MICROBEAMS, FOKKER-PLANCK EQUATION, BEAM MODEL, NONLOCAL CONTINUUM, BUCKLING ANALYSIS, PLATE-THEORY, FREQUENCY, NANOFLUIDS
  • Akdeniz University Affiliated: Yes

Abstract

Graphene sheets are generally surrounded by an elastic matrix in applications. In the present study, free vibration analysis of graphene sheets is investigated via higher-order elasticity theory. Graphene sheet is modeled via thin plate on elastic medium. Winkler-Pasternak two-parameter elastic foundation model is used as foundation. The method of modified couple stress theory is used for size-dependent vibration. Frequencies 10.17341/gazimmfd. 322182 have been calculated by discrete singular convolution and analytical method.