Agglomerated impact of CNT vs. GNP nanofillers on hybridization of polymer matrix for vibration of coupled hemispherical-conical-conical shells

Sobhani, Emad; Masoodi, Amir R.; Cívalek, Ömer; Ahmadi-Pari, Amir Reza

doi:10.1016/j.ast.2021.107257

Cited by 51 publications

(3 citation statements)

References 69 publications

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“…The generalized differential quadrature (GDQ) method was employed to solve the partial differential equations (PDEs). Sobhani et al [25] studied the vibrational behavior of Coupled Hemispherical-Conical-Conical Shells (CHCCS) structures made composite materials reinforced with nanofillers. They employed Generalized Differential Quadrature method (GDQM) and investigated the effects of geometrical characteristics, weight proportions, and distribution patterns of CNTs and GNPs on the vibration parameter of CHCCS.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of FG‐GPL and FG‐CNT hybrid laminated nano composite truncated conical shells using systematic differential quadrature method

2023

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In the present study, the free vibration of functionally graded graphene platelet‐reinforced (FG‐GPLs) and functionally graded carbon nanotube‐reinforced (FG‐CNTs) hybrid laminated nanocomposite truncated conical shells and panels are analyzed. Multi‐layers truncated conical shell and panel of pure FG‐CNTs, pure FG‐GPLs and hybrid CNTs‐GPLs reinforcement were evaluated. In light of its high accuracy in the calculation of thin and thick shells, a third‐order shear deformation theory is adopted. The governing equations and boundary conditions is derived using Hamilton's principle and is solved numerically using the systematic differential quadrature method (DQM) which uses Kronecker delta function. The effective mechanical properties of the CNT‐reinforced nanocomposite layers are estimated using the rule of mixtures, whereas those of the GPL‐reinforced nanocomposite layers is calculated using the Halpin‐Tsai micromechanical model. Convergence and accuracy evaluation of the presented study are confirmed and a number of parameters, including the CNTS volume fraction, GPLs mass fraction, distribution patterns (i.e., Uniform distribution (UD), Functionally graded O‐distribution (FG‐O), Functionally graded X‐distribution (FG‐X), Functionally graded V‐distribution (FG‐V) and FG‐A), different boundary conditions and the vertex angle of the cone, are investigated. The results obtained in this article for the combination of two different materials, GPLs and CNTs, showed that in controlling the natural frequency of the system, without changing the percentage of fiber and only by changing the arrangement, very wonderful results can be achieved.

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Section: Introductionmentioning

confidence: 99%

Free vibration analysis of FG‐GPL and FG‐CNT hybrid laminated nano composite truncated conical shells using systematic differential quadrature method

2023

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“…Lian et al (2022) investigated the free vibration analysis of semi-closed shells of revolution with variable curvature, with a focus on the analytical solution to the natural frequency of such shells. Sobhani et al (2022) studied the vibrational behavior of coupled hemispherical-conical-conical shells structures made composite materials reinforced with nanofillers using Donnell’s shell theory.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear free vibrations analysis of truncated conical shells made of bidirectional functionally graded materials

Shadmani,

Afsari,

Jahedi

et al. 2023

Journal of Vibration and Control

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For the first time, present paper addresses the nonlinear vibrations analysis of a truncated conical shell made of bidirectional functionally graded (BDFG) materials whose mechanical properties varied continuously through the thickness and the length directions of the conical shell based on the power law distribution. Accordingly, the set of nonlinear equation of motions of the conical shell are derived based on first-order shear deformation theory (FSDT) and von Karman strain-displacement relations using Hamilton’s principle. System of partial differential equations of the BDFG conical shell are transformed into time-dependent ordinary differential equations using Galerkin approach. Afterward, the nonlinear equations are analytically solved by means of modified Poincaré–Lindstedt method, and the nonlinear frequency of the BDFG conical shell is obtained. For verification purpose, the present outcomes are compared with those available in previous researches. Eventually, the effect of longitudinal and transverse gradient indexes, vibration amplitude, and geometrical parameters on the nonlinear frequency of the BDFG conical shell is investigated. The present research may give benchmark solutions and some guidelines for designing BDFG truncated conical shells.

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“…The relevance of the mechanical characteristics of nanocomposites enriched with CNTs on the CNTs agglomeration has been widely investigated by authors [ [32] , [33] , [34] , [35] , [36] , [37] , [38] , [39] , [40] , [41] ]. But there are few published papers related to the mechanical analysis of the structures reinforced with the agglomerated GNPs [ [42] , [43] , [44] , [45] ]. In the presented work, the forced and free vibration characteristics of thick plates enriched with GNPs are investigated by incorporating the GNPs agglomeration.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of thick plates reinforced with agglomerated GNPs

Alnujaie¹,

Alaiwi²,

Ibrahim³

et al. 2023

Heliyon

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Agglomerated impact of CNT vs. GNP nanofillers on hybridization of polymer matrix for vibration of coupled hemispherical-conical-conical shells

Cited by 51 publications

References 69 publications

Free vibration analysis of FG‐GPL and FG‐CNT hybrid laminated nano composite truncated conical shells using systematic differential quadrature method

Free vibration analysis of FG‐GPL and FG‐CNT hybrid laminated nano composite truncated conical shells using systematic differential quadrature method

Nonlinear free vibrations analysis of truncated conical shells made of bidirectional functionally graded materials

Dynamic analysis of thick plates reinforced with agglomerated GNPs

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