Loading...

Frequency characteristics of a viscoelastic graphene nanoplatelet–reinforced composite circular microplate

Ghabussi, A ; Sharif University of Technology | 2021

223 Viewed
  1. Type of Document: Article
  2. DOI: 10.1177/1077546320923930
  3. Publisher: SAGE Publications Inc , 2021
  4. Abstract:
  5. This is the first research on the frequency analysis of a graphene nanoplatelet composite circular microplate in the framework of a numerical-based generalized differential quadrature method. Stresses and strains are obtained using the higher order shear deformation theory. The microstructure is surrounded by a viscoelastic foundation. Rule of the mixture is used to obtain varying mass density and Poisson’s ratio, whereas the module of elasticity is computed by a modified Halpin–Tsai model. Governing equations and boundary conditions of the graphene nanoplatelet composite circular microplate are obtained by implementing Hamilton’s principle. The results show that outer to inner radius ratio (Formula presented.), ratios of length scale and nonlocal to thickness (l/h and (Formula presented.)), and graphene nanoplatelet weight fraction (Formula presented.) have significant influence on the frequency characteristics of the graphene nanoplatelet composite circular microplate. Another necessary consequence is that by increasing the value of (Formula presented.), the distribution of the displacement field extends from radial to tangent direction, especially in the lower mode numbers; this phenomenon appears much more remarkable. A useful suggestion of this research is that for designing the graphene nanoplatelet composite circular microplate at a low value of (Formula presented.), (Formula presented.) and (Formula presented.) should be given more attention, simultaneously. An interesting result which has come down from the article is that the effect of (Formula presented.) on the dimensionless frequency of the structure is really dependent on the value of Cd. © The Author(s) 2020
  6. Keywords:
  7. Differentiation (calculus) ; Elasticity ; Numerical methods ; Shear deformation ; Structural design ; Viscoelasticity ; Circular microplate ; Dimensionless frequency ; Frequency characteristic ; Generalized differential quadrature methods ; Governing equations ; Higher order shear deformation theory ; Reinforced composites ; Viscoelastic foundation ; Graphene
  8. Source: JVC/Journal of Vibration and Control ; Volume 27, Issue 1-2 , 2021 , Pages 101-118 ; 10775463 (ISSN)
  9. URL: https://journals.sagepub.com/doi/abs/10.1177/1077546320923930