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

Abstract

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.

The Cohesive Energy and Vibration Characteristics of Parallel Single-Walled Carbon Nanotubes

“…The resonance frequency in Figure 6a for low-frequency vibration decreases with the increase in tube diameter. For highfrequency vibration in Figure 6c the resonance frequency reaches the maximum value when r2 = (20,20), which is among the several prediction results including r2 = (5,5)~(50,50). The amplitude ratio in Figure 6b,d show remarkable dependence and significant nonlinearity with the change in the diameters of the two CNTs.…”

“…With the influence of finite size and boundary effects, the internal vdW bonding energy has an important impact on the mechanical behavior of CNT bundle micro systems [16][17][18]. Therefore, clarifying the bond energy between tube bundles of finite size has important guiding significance for the design and application of microsystems [19][20][21][22][23][24][25].…”

Sensing enhancement of nanostructure surface plasmon resonance in optical fiber ring resonator

“…Quick integrative optimizers investigated by such a group ). Besides, neural network optimizer is a good candidate for novel platforms (Foong and Moayedi 2021;Moayedi 2021;Ghabussi et al 2021a;Asadi et al 2021). Also, some novel constitutive modelling approaches 2021).…”

“…In recent decay PCE sensor was applied in different fields like detection of medical sample, gas, drug and liquid detection, bio imaging, and bio sensing and food safety. Different type of PCF with various geometrical structure has been reported for instance, hexagonal, octagonal, decagonal, elliptical, honey comb cladding and hybrid core cladding fabrication of PCF, solid core PCF for detection of CH4, HF and different gas detection, diagnosis of cancer cell by applying hollow core PCF with low detection limit of 10 nl for 100 pg and finally detection of cancer cells, diabetes blood components by introducing diamond ring resonator photonic crystal waveguide (Moayedi 2021;Ghabussi et al 2021a;Asadi et al 2021). It is noteworthy these investigations have been done analytically and numerically that finite element method FEM was used for numerically measurement (Ghabussi et al 2021b).…”

Accurate solution for size-dependent free vibration analysis of functionally graded micro-plates with Levy boundary conditions

“…Vibrational behavior of functionally graded piezoelectric material (FGPM) in a nano circular plate subjected to rotational and thermal loads based on nonlocal strain gradient theory studied by Mahinzare et al 43 The bending, buckling, and free vibration analyses of micro-scaled functionally graded GNPs reinforced porous nanocomposite annular plate located on the bi-parameter elastic foundation exposed to hygro-thermo-mechanical loads were carried out by Arshid et al 44 Civalek et al 45 performed the size-dependent transverse and longitudinal vibrations of embedded carbon and silica carbide nanotubes lying on an elastic matrix based on Eringen’s nonlocal elasticity theory. Computational optimization for porosity-dependent iso-geometric analysis of functionally graded (FG) sandwich nano-plates were proposed by Phung-Van et al 46 Ghabussi et al 47 implemented a numerical-based generalized differential quadrature method for frequency analysis of a viscoelastic graphene nanoplatelet-reinforced composite circular microplate. Vinh and Huy 48 examined the Influence of variable nonlocal parameter and porosity on the free vibration behavior of functionally graded nano-plates using modified classical Eringen’s elasticity theory.…”