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

SAGE Publications - Tập 27 Số 1-2 - Trang 101-118 - 2021
Aria Ghabussi1, Mostafa Habibi2, Omid NoormohammadiArani3, Aghil Shavalipour4, Hossein Moayedi5, Hamed Safarpour6
1Department of Civil Engineering, Central Tehran Branch, Islamic Azad University, Tehran, Iran
2Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
3Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
4Mechanical Engineering Department, Engineering Faculty, Velayat University, Iranshahr, Iran
5Institute of Research and Development, Duy Tan University, Da Nang, Vietnam
6Department of Mechanics, Imam Khomeini International University, Qazvin, Iran

Tóm tắt

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: see text], ratios of length scale and nonlocal to thickness ( l/ h and [Formula: see text]), and graphene nanoplatelet weight fraction [Formula: see text] 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: see text], 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: see text], [Formula: see text] and [Formula: see text] should be given more attention, simultaneously. An interesting result which has come down from the article is that the effect of [Formula: see text] on the dimensionless frequency of the structure is really dependent on the value of C d.

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SAGE Publications

Tập 27 Số 1-2

101-118

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