Free vibration of functionally graded graphene platelet reinforced plates: A quasi 3D shear and normal deformable plate model

Jafari, P.; Kiani, Y.

doi:10.1016/j.compstruct.2021.114409

Cited by 52 publications

(16 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Also, by the increase of the thickness ratio of the FGM plates, natural frequency increases, which is due to the increase of the shear stiffness of the plates. 25 About the effect of boundary conditions on natural frequency, it can be inferred that as the boundary conditions get stiffer, natural frequency increases. Therefore, in the case of clamped boundary condition (CCCC) higher natural frequencies are achieved, as compared with those of simply supported condition (SSSS).…”

Section: Resultsmentioning

confidence: 99%

“…Finite element formulation is performed based on a nine-nodded isoparametric element, where, each node has seven degrees of freedom, as given by equation ( 9) 25 :…”

Section: Governing Equations Of Finite Element Modelingmentioning

confidence: 99%

“…where, D i is the stiffness matrix (calculated by equation (13)), and B i is the derivative of shape functions, calculated by equations ( 14)2(19), 25 :…”

Section: Governing Equations Of Finite Element Modelingmentioning

confidence: 99%

See 2 more Smart Citations

Natural frequency prediction of functionally graded graphene-reinforced nanocomposite plates using ensemble learning and support vector machine models

Pashmforoush

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

Functionally graded materials (FGMs) are modern engineering materials with increasing application in various industrial fields. In this study, the free vibration behavior of graphene-reinforced FGM plate is investigated using finite element method and machine learning (ML) approaches. For this purpose, three advanced ML models including ensemble learning algorithms (bootstrap aggregation and gradient boosting) and Gaussian support vector machine are employed to predict the natural frequency of functionally graded graphene/epoxy nanocomposite plates. In this regard, first, hyperparameter optimization is carried out using Bayesian optimization algorithm. Then, regression analysis is performed using the aforementioned ML approaches. According to the obtained results, all ML models have a high coefficient of determination (more than 96%) with low mean squared error (MSE) values. However, the best performance is related to the gradient boosting method, followed by support vector machine and bootstrap aggregation, respectively. Finally, the significance degree of involved parameters on natural frequency is estimated using the Shapley values concept. The obtained results reveal that the most significant parameters affecting the natural frequency of graphene-reinforced FGM plates are clamp type, the volume fraction of graphene, followed by thickness ratio and distribution pattern, respectively.

show abstract

Section: Resultsmentioning

confidence: 99%

“…Finite element formulation is performed based on a nine-nodded isoparametric element, where, each node has seven degrees of freedom, as given by equation ( 9) 25 :…”

Section: Governing Equations Of Finite Element Modelingmentioning

confidence: 99%

See 1 more Smart Citation

Natural frequency prediction of functionally graded graphene-reinforced nanocomposite plates using ensemble learning and support vector machine models

Pashmforoush

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

“…Based on the threedimensional theory of elasticity, Liew and Alibeigloo [9] investigated the buckling and free vibration studies of functionally graded carbon nanotube reinforced composite cylindrical panel with different patterns of carbon nanotube distribution. Besides, Jafari and Kiani [10] dealt with the free vibration response of composite plates which are reinforced with graphene plates using the Halpin Tsai model which captures the dimensions of the reinforcement. Phuc et al, [11] introduced Shi's high-order shear deformation theory to compute the free vibration of the cracked functionally graded material plates according to the power law resting on Pasternak elastic foundations; Quyen et al, [12] studied the nonlinear free and forced vibration of sandwich cylindrical panel on visco-Pasternak foundations in thermal environment subjected to blast load.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration of Nanocomposite Multilayer Perovskite Solar Cell in Thermal Environment

Dinh Khoe,

Minh Phuong,

Van Thanh

et al. 2022

MaP

View full text Add to dashboard Cite

In this work we investigated the nonlinear vibration of nanocomposite multilayer perovskite solar cell (NMPSC) subjected to the combination of mechanical and thermal loadings. The model of organic solar cell is assumed to consist seven functional layers: Au, Spiro-OMeTAD, PEDOT:PSS, Graphene oxide, MAPbI3, TiO2 and IOT, and glass substrate. The governing equations are established basing on the classical plate theory taking into account the effect of elastic foundations and initial imperfection. Four edges of the NMPSC are assumed to be supported immovably in a transverse plane. The relationship between deflection amplitude and time as well as the expression of natural frequency of NMPSC are obtained by using the Galerkin and Runge – Kutta methods. The numerical results showed that the nonlinear dynamic response and the natural frequency of NMPSC have been strongly influenced by the geometrical and material parameters, initial imperfection, temperature increment and elastic foundations. Keywords: Perovskite solar cell; nonlinear vibration; elastic foundations; initial imperfection; thermal environment

show abstract

“…Except the isotropic homogeneous structures mentioned above, more and more lightweight and high strength materials and high-performance composite structures are emerging in the field of aerospace and engineering applications, such as the functionally graded materials (FGM), fiber-reinforced composite structures and carbon-based composite structures [10][11][12][13]. Highperformance composite structures' mechanical behaviors can significantly be affected by their working conditions, especially when they are operating under thermo-electro-mechanical loads.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear low-velocity impact response of GRC beam with geometric imperfection under thermo-electro-mechanical loads

et al. 2022

View full text Add to dashboard Cite

This paper presents an investigation on thermo-electro-mechanical nonlinear low-velocity impact behaviors of the geometrically imperfect functionally graded (FG) graphene reinforced composite (GRC) beam with surface-bonded piezoelectric layers. Both uniformly distributed (UD) and FG patterns of graphene nanoplatelets (GPLs) are considered along the thickness of the GRC host beam. The effective Young's modulus is calculated by the Halpin-Tsai model. The Poisson ratio and mass density are calculated by the rule of mixture. The modified nonlinear Hertz contact law is employed to predict the impact force between the spherical impactor and the geometrically imperfect GRC piezoelectric beam during impacting. By considering the firstorder shear deformation theory and von Kármán nonlinear displacement-strain relationship, the nonlinear governing equations are obtained by Hamilton principle and dispersed by differential quadrature (DQ) method. The Newmark-β method associated with Newton-Raphson iterative process is adopted to parametrically identify the impact force and the dynamic response of the system. The effects of geometric imperfection, weight fraction and distribution pattern of GPLs, temperature variation, thickness of piezoelectric layer and impactor's initial velocity on the nonlinear low-velocity impact behavior of geometrically imperfect GRC beams are discussed in detail. Our results illustrate that the coupling effect of geometric imperfection and thermoelectro-mechanical load has a significant effect on the nonlinear low-velocity impact behavior of GRC beam, and GPLs distributing into the piezoelectric layers is better for reducing the impact response of geometrically imperfect GRC piezoelectric beam.

show abstract

Free vibration of functionally graded graphene platelet reinforced plates: A quasi 3D shear and normal deformable plate model

Cited by 52 publications

References 44 publications

Natural frequency prediction of functionally graded graphene-reinforced nanocomposite plates using ensemble learning and support vector machine models

Natural frequency prediction of functionally graded graphene-reinforced nanocomposite plates using ensemble learning and support vector machine models

Nonlinear Vibration of Nanocomposite Multilayer Perovskite Solar Cell in Thermal Environment

Nonlinear low-velocity impact response of GRC beam with geometric imperfection under thermo-electro-mechanical loads

Contact Info

Product

Resources

About