Nonlinear vibration of metal foam cylindrical shells reinforced with graphene platelets

Yan Qing Wang, Chao Ye, Jean W. Zu

Research output: Contribution to journalArticlepeer-review

364 Scopus citations

Abstract

This paper performs nonlinear vibration analysis of metal foam circular cylindrical shells reinforced with graphene platelets. An improved Donnell nonlinear shell theory is employed to formulate the present model. The graphene platelet reinforced material properties are evaluated by the Halpin–Tsai equation. Different types of porosity and graphene platelet (GPL) distribution are taken into account. Governing equations are derived via Hamilton's principle and then they are transformed to ordinary differential equations using the Galerkin method. Afterwards, nonlinear frequencies of the system are solved by using the multiple scale method. Our findings demonstrate that GPL reinforced metal foam (GPLRMF) shells exhibit hardening-spring vibration characteristics. The nonlinear to linear frequency ratio of the shell closely relates to the porosity distributions and GPL patterns. The effect of geometrical size of graphene platelets on nonlinear vibration characteristics of GPLRMF cylindrical shells is also highlighted.

Original languageEnglish
Pages (from-to)359-370
Number of pages12
JournalAerospace Science and Technology
Volume85
DOIs
StatePublished - Feb 2019

Keywords

  • Graphene platelets
  • Improved Donnell nonlinear shell theory
  • Metal foam cylindrical shell
  • Method of multiple scales
  • Nonlinear vibration

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