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

This is the first research on the frequency analysis of a graphene nanoplatelet composite circular microplate in the framework of a numeR(i)cal-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 pR(i)nciple. The results show that outer to inner radius ratio (R-o/R-i), ratios of length scale and nonlocal to thickness (l/h and mu/h), and graphene nanoplatelet weight fraction (g(GPL)) have significant influence on the frequency characteR(i)stics of the graphene nanoplatelet composite circular microplate. Another necessary consequence is that by increasing the value of Ro/R-i, the distR(i)bution 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 R-o/R-i, gGPL and R-o/R-i should be given more attention, simultaneously. An interesting result which has come down from the article is that the effect of R-o/R-i on the dimensionless frequency of the structure is really dependent on the value of C-d.

Automated summary

This study examines the frequency analysis of a graphene nanoplatelet composite circular microplate using a numerical-based generalized differential quadrature method. It finds that factors such as the outer to inner radius ratio, length scale and nonlocal to thickness ratios, and graphene nanoplatelet weight fraction significantly influence the frequency characteristics of the microplate. The research suggests that for designing such microplates, attention should be paid to factors like outer to inner radius ratio, graphene nanoplatelet weight fraction, and their interplay.