Influence of imperfection on amplitude and resonance frequency of a reinforcement compositionally graded nanostructure

Hashemi, Hamid Reza; Alizadeh, As’ad; Oyarhossein, Mohammad Amin; Shavalipour, Aghil; Makkiabadi, Mahmoud; Habibi, Mostafa

doi:10.1080/17455030.2019.1662968

Cited by 50 publications

(6 citation statements)

References 84 publications

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“…In addition, with the aid of an experimental study, Rafiee et al (2009) reported that the composite structures which are reinforced with GPL are much stronger than the reinforced structures with single walled carbon nanotube, double walled carbon nanotube, and MWCNT. Moreover, a large number of studies (Ebrahimi et al, 2019a(Ebrahimi et al, , 2019b(Ebrahimi et al, , 2019c(Ebrahimi et al, , 2019dEsmailpoor Hajilak et al, 2019;Ghabussi et al, 2019Ghabussi et al, , 2020Habibi et al, 2019aHabibi et al, , 2019bHabibi et al, , 2019cHabibi et al, , 2019dHashemi et al, 2019;Mohammadgholiha et al, 2019;Mohammadi et al, 2019;Pourjabari et al, 2019;Safarpour et al, 2018Safarpour et al, , 2019aSafarpour et al, , 2019bShokrgozar et al, 2019) claimed that adding a little bit of GPL into the epoxy matrix results in a structure that has a remarkable property in thermo-electro-mechanical aspect. In the field of improving the mechanical properties, enhancing the elastoplastic stability and instability of sheet metal is presented in some research works with the aid of experimental and finite element method (Gao et al, 2018a(Gao et al, , 2018b(Gao et al, , 2018c(Gao et al, , 2018d(Gao et al, , 2019.…”

Section: Introductionmentioning

confidence: 99%

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

Ghabussi

Habibi

NoormohammadiArani

et al. 2020

Journal of Vibration and Control

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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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Section: Introductionmentioning

confidence: 99%

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

Ghabussi

Habibi

NoormohammadiArani

et al. 2020

Journal of Vibration and Control

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“…In addition, it is observed that discrepancy declines by growing mid-radius to thickness ratio. It is noted that difference between the two results is due to the conventional two-dimensional approximate formulation which has been used in Hashemi et al 21…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…7–12 In the field of improving the mechanical properties, enhancing the elastoplastic stability and instability of sheet metal are presented in some researches with the aid of experimental and finite element method. 1,13–26 Sun and Zhao 27 compared the fracture behavior of the functionally graded (FG) cemented carbide reinforced with and without the GPL. They claimed that the property of GPLs in the nanocomposites is worked as a stopper for micro cracks.…”

Section: Introductionmentioning

confidence: 99%

Frequency analysis of a graphene platelet–reinforced imperfect cylindrical panel covered with piezoelectric sensor and actuator

Jalali

Shavalipour

Safarpour

et al. 2020

The Journal of Strain Analysis for Engineering Design

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The main point of the current study is that the frequency analysis of a graphene platelets–reinforced composite (GPLRC) imperfect panel covered with piezoelectric sensor and actuator (PISA) based on the 3D elasticity theory is investigated. Rule of mixture is employed to obtain varying mass density and Poisson’s ratio, while module of elasticity is computed by modified Halpin-Tsai model. The governing equations are obtained using the 3D elasticity theory. By using Fourier series expansion along the longitudinal and latitudinal directions for the stress and displacement fields, a closed form solution is derived. The novelty of the current study is the consideration of the GPLRC panel and PISA, as well as imperfection are implemented on the proposed model using theory of 3D elasticity. Due to perfect bonding between piezoelectric layers and core the compatibility conditions are derived. Finally, influences of PISA thickness, graphene platelet (GPL) distribution pattern, porosity, span angle of panel, number of layers and GPL weight function on the dynamic stability of the GPLRC smart imperfect panel are presented. Another important consequence is that the sandwich panels with lower span angle have better natural frequency. In other words, to obtain desirable frequency response using structures which their shape is similar to GPLRC plate is more recommended than those resemble to GPLRC cylindrical shell.

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“…The constitutive relations between stress and strain can be declared as following [24,29,[72][73][74][75][76][77][78][79][80][81][82]:…”

Section: Strain-stress Relationsmentioning

confidence: 99%

Critical Temperature and Frequency Characteristics of GPLs-Reinforced Composite Doubly Curved Panel

et al. 2020

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In this study, critical temperature and frequency characteristics of a doubly curved panel are reinforced by graphene nanoplatelets (GPLs) with the aid of a two-dimensional generalized differential quadrature method (2D-GDQM) are investigated. The size effects are included using nonlocal strain gradient theory (NSGT) that has two length scale parameters, and the panel is modeled as a panel using high order shear deformation theory (HSDT). The mechanical properties of GPLs are calculated based on the rule of mixtures and the modified Halpin–Tsai model. The novelty of the current study is in considering the effects of the thermal environment, various boundary conditions, and size effects on the frequency and critical temperature of the GPLRC panel. The validation is performed through the comparison of the numerical results for the frequency of the GPLRC panel and the literature. For more verification, a finite element model is presented using the finite element package to simulate the response of the current structure. The results created from a finite element simulation illustrate a close agreement with the numerical method results. The results demonstrate that GPLs’ weight function, the ratio of panel curvature (R1/R2), GPLs’ pattern, and size-dependent parameters have noticeable effects on the frequency and critical temperature characteristics of the GPLs-reinforced composite (GPLRC) curved panel. The favorable suggestion of this survey is that when designing the GPLRC structure, special attention should be paid to size-dependent parameters because the nonlocal and length scale parameters have an essential role in the static and dynamic behaviors of the GPLRC panel.

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Influence of imperfection on amplitude and resonance frequency of a reinforcement compositionally graded nanostructure

Cited by 50 publications

References 84 publications

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

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

Frequency analysis of a graphene platelet–reinforced imperfect cylindrical panel covered with piezoelectric sensor and actuator

Critical Temperature and Frequency Characteristics of GPLs-Reinforced Composite Doubly Curved Panel

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