Vibration characteristics of composite doubly curved shells reinforced with graphene platelets with arbitrary edge supports

Esmaeili, H. R.; Kiani, Y.; Beni, Yaghoub Tadi

doi:10.1007/s00707-021-03140-z

Cited by 36 publications

(8 citation statements)

References 46 publications

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“…In the third example, the fundamental natural frequencies and buckling loads of a single-layer GNP-reinforced simply-supported plate for different distributions of nanocomposites are carried out. The results of this example are available in Esmaeili et al 41 and Wu et al 54 achieved by Ritz method based on the Chebyshev basis polynomials and DQ method, respectively. Table 5 incorporates comparing the obtained results in this paper with those are available in Esmaeili et al 41 and Wu et al 54 Closeness of the mentioned two groups of results implies that the present formulation supports various distributions of nanocomposites in free vibration and buckling analysis of the curved panels.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…The results of this example are available in Esmaeili et al 41 and Wu et al 54 achieved by Ritz method based on the Chebyshev basis polynomials and DQ method, respectively. Table 5 incorporates comparing the obtained results in this paper with those are available in Esmaeili et al 41 and Wu et al 54 Closeness of the mentioned two groups of results implies that the present formulation supports various distributions of nanocomposites in free vibration and buckling analysis of the curved panels. Furthermore, accuracy of the present formulation can be approved in comparison to the other numerical solutions like Chebyshev-Ritz and DQ methods.…”

Section: Validationmentioning

confidence: 99%

“…Similar restrictions were imposed into the solutions of Duc et al, 35 Thi Phuong et al, 36 Shahmohammadi et al, 37 Mirfatah et al 38 which were based on the Galerkin method for simply-supported shells. This shortcoming was reduced in Du et al, 39 Qatu and Asadi, 40 and Esmaeili et al 41 by employing the various versions of Ritz method. Also, the restrictions of analytical methods were reduced in Fadaee et al 42 by employing the Levy solutions for different boundary conditions (BCs).…”

Section: Introductionmentioning

confidence: 99%

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An analytical closed-form solution for free vibration and stability analysis of curved sandwich panels made of porous metal-foam core and nanocomposite reinforced face-sheets

Badarloo,

Salehipour

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper aims to obtain an analytical solution for free vibration and stability analysis of shallow curved sandwich panels made of a porous metal-foam core and nanocomposites reinforced sheets resting on a Winkler-Pasternak elastic foundation. In this regard, two nanocomposites, carbon nanotubes (CNTs) and graphene nanoplatelets (GNPs) are considered for reinforcing the face-sheets. The governing equations are developed by considering the transversal shear strains based on the first-order shear deformation theory (FSDT). The obtained system of differential equations representing the dynamic equilibrium and compatibility of the proposed curved sandwich panels are solved analytically, using the principal of Galerkin method. In order to examine the results of developed formulation, some benchmark examples are adopted from the existing literature and the obtained results corresponding to the considered examples are compared with those are presented in the references. Using the achieved numerical results in the framework of a comprehensive parametric study, the effects of various material and geometrical factors and also various boundary conditions on the natural frequencies and buckling loads of the proposed sandwich panels are assessed. By performing the extensive parametric study it was observed that several results corresponding to the free vibration and stability of the proposed sandwich panels can be achieved by the present method without spending much time for computations. On the contrary, in order to achieve the similar results using the numerical methods, a time-consuming process is required which can justify the novelty of the present work.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Validationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An analytical closed-form solution for free vibration and stability analysis of curved sandwich panels made of porous metal-foam core and nanocomposite reinforced face-sheets

Badarloo,

Salehipour

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Based on the classical plate theory and the Rayleigh-Ritz technique, the free vibrations of FG-GPLRC cantilever torsional plates were studied by Sun et al [8] with variations in the transverse direction of pore and graphene. The vibration behavior of FG-GPLRC doubly curved shell panels was mentioned using the firstorder shear deformation theory [9], and HSDT [10]. The complexly curved panels made from composites reinforced by graphene sheets and GPLs were mentioned in nonlinear buckling problems [11,12] and in nonlinear dynamic buckling and vibration behavior [13].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic buckling analysis of the FG-GPLRC cylindrical and sinusoid panels with porous core under time-dependent axial compression

Nguyen Thi Phuong,

Vu Minh Duc,

Luu Ngoc Quang

2024

JSTT

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The nonlinear dynamic buckling responses of functionally graded graphene platelet reinforced composite (FG-GPLRC) cylindrical and sinusoid panels with porous core are presented in this paper. The governing formulations are established by applying the nonlinear higher-order shear deformation theory (HSDT). an approximation technique is used to determine the stress function for complexly curved panels. Euler-Lagrange equations can be used to achieve the nonlinear motion equation. Numerical investigations are considered using the Runge-Kutta method for dynamic responses, and using the Budiansky-Roth criterion for critical dynamic buckling loads. Some discussions on the dynamic buckling responses of panels with porous core can be achieved from the numerical examples.

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“…45 For the FG-GPLRC plates and doubly curved shells, by using the FSDT, the dynamic response and free vibration of rectangular and skew plates were also mentioned. 46–48 The investigations of the free and forced vibrations of the sandwich cylindrical panels made from two FG-GPLRC coatings and the honeycomb auxetic core was carried out by Karimiasl and Alibeigloo. 49 In which, the basic formulations are established based on the HSDT and the gorvening equations are obtained through the generalized differential quadrature method (GDQM) and pertubation technique.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear thermo-mechanical buckling and postbuckling of sandwich FG-GPLRC spherical caps and circular plates with porous core by using higher-order shear deformation theory

Bui

Duong

et al. 2022

Journal of Thermoplastic Composite Materials

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The main aim of this research is to establish the algorithm for nonlinear thermo-mechanical buckling of sandwich functionally graded graphene platelet reinforced composite (FG-GPLRC) shallow spherical caps and circular plates with porous core under external pressure and/or uniformly distributed thermal load according to the higher-order shear deformation theory considering the von Karman nonlinearities. Sandwich spherical caps and circular plates are made by the porous core and two FG-GPLRC coatings and are assumed to be rested on an elastic foundation modeled by the Pasternak model. The equilibrium equation system in the form of nonlinear algebra can be approximately obtained using the Ritz energy method. The critical buckling loads and postbuckling curves can be explicitly determined. The effects of material parameters, geometrical parameters, porous core, and elastic foundation on thermo-mechanical buckling of sandwich spherical caps and circular plates with porous core and FG-GPLRC coatings are investigated and discussed in detail in the numerical investigation section.

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Vibration characteristics of composite doubly curved shells reinforced with graphene platelets with arbitrary edge supports

Cited by 36 publications

References 46 publications

An analytical closed-form solution for free vibration and stability analysis of curved sandwich panels made of porous metal-foam core and nanocomposite reinforced face-sheets

An analytical closed-form solution for free vibration and stability analysis of curved sandwich panels made of porous metal-foam core and nanocomposite reinforced face-sheets

Nonlinear dynamic buckling analysis of the FG-GPLRC cylindrical and sinusoid panels with porous core under time-dependent axial compression

Nonlinear thermo-mechanical buckling and postbuckling of sandwich FG-GPLRC spherical caps and circular plates with porous core by using higher-order shear deformation theory

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