Free Vibration of Grid-Stiffened Composite Cylindrical Shell Reinforced with Carbon Nanotubes

Azarafza, Reza; Davar, A.; Fayez, M. S.; Jam, Jafar Eskandari

doi:10.1007/s11029-020-09899-x

Cited by 12 publications

(4 citation statements)

References 34 publications

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“…Furthermore, Ghahfarokhi et al [156] presented novel analytical and numerical solutions with experimental work that focused on exploring and predicting the stability as well as the FV of composite lattice cylinders with a sandwich structure by implementing the vibration correlation technique (VCT). However, Azarafza et al [157] analyzed the FV of a cylindrical shell structure consisting of a Grid-stiffened composite reinforced with Carbon nanotubes (CNTs) analytically by implementing the FSDT, and the material features were obtained through the rule of mixture (ROM). While, Sciascia et al [158] employed the Ritz methodology to investigate FV and the linear transient analysis of a DC shell structure with variable stiffness.…”

Section: Shell and Cylindrical Structuresmentioning

confidence: 99%

Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

Al Mahmoud,

Safaei,

Sahmani

et al. 2024

Arch Computat Methods Eng

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Recently, the mechanical performance of various mechanical, electrical, and civil structures, including static and dynamic analysis, has been widely studied. Due to the neuroma's advanced technology in various engineering fields and applications, developing small-size structures has become highly demanded for several structural geometries. One of the most important is the nano/micro-plate structure. However, the essential nature of highly lightweight material with extraordinary mechanical, electrical, physical, and material characterizations makes researchers more interested in developing composite/laminated-composite-plate structures. To comprehend the dynamical behavior, precisely the linear/nonlinear-free vibrational responses, and to represent the enhancement of several parameters such as nonlocal, geometry, boundary condition parameters, etc., on the free vibrational performance at nano/micro scale size, it is revealed that to employ all various parameters into various mathematical equations and to solve the defined governing equations by analytical, numerical, high order, and mixed solutions. Thus, the presented literature review is considered the first work focused on investigating the linear/nonlinear free vibrational behavior of plates on a small scale and the impact of various parameters on both dimensional/dimensionless natural/fundamental frequency and Eigen-value. The literature is classified based on solution type and with/without considering the size dependency effect. As a key finding, most research in the literature implemented analytical or numerical solutions. The drawback of classical plate theory can be overcome by utilizing and developing the elasticity theories. The nonlocality, weight fraction of porosity, or the reinforcements, and its distribution type of elastic foundation significantly influence the frequencies.

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Section: Shell and Cylindrical Structuresmentioning

confidence: 99%

Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

Al Mahmoud,

Safaei,

Sahmani

et al. 2024

Arch Computat Methods Eng

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“…Maji et al, [16] studied the thermo-elastic vibration of graphene reinforced composite stiffened plate with general boundary conditions using FEM based on first-order shear deformation theory. Davar et al, [17][18] presented the dynamic response and free vibration of a gridstiffened composite cylindrical shell reinforced by CNTs subjected to the radial impulse load. Bo et al [19] investigated the nonlinear dynamic investigation of the perovskite solar cell with GPLR-FGP stiffeners under blast impact based on the von-Kármán geometric nonlinearity and the first-order shear deformation theory.…”

Section: Introductionmentioning

confidence: 99%

“…Replacing solutions from Eqs. (18) into Eqs. (15) to obtain the resulting equations and then applying Galerkin method yields:…”

mentioning

confidence: 99%

Nonlinear Static Stability of Stiffened Nanocomposite Plate s Subjected Various Types of Loads

Thành

2022

MaP

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This work deals with the nonlinear buckling and post-buckling of stiffened nanocomposite plates reinforced functionally graded carbon nanotubes (FG CNTRC) resting on elastic foundation in thermal environment. Obtained results showed that the properties of the nanocomposited plates embedded with single-walled carbon nanotubes are dependent on temperature and altered according to linear functions of the thickness. The governing equations are derived by the third-order shear deformation plate theory taking into account von Kármàn geometrical nonlinearity and solved by both the Airy’s stress function and Galerkin method. In numerical results, the influences of various types of distribution and volume fractions of carbon nanotubes, geometrical parameters, elastic foundations on the nonlinear buckling and post-buckling behaviour of stiffened FG-CNTC plates subjected mechanical, thermal loading and both are demonstrated. Keywords: Stiffened FG CNTRC plates; Buckling and Post buckling analysis; Third-order shear deformation theory; Thermal environment; Galerkin method This work deals with the nonlinear buckling and post-buckling of stiffened nanocomposite plates reinforced functionally graded carbon nanotubes (FG CNTRC) resting on elastic foundation in thermal environment. Obtained results showed that the properties of the nanocomposited plates embedded with single-walled carbon nanotubes are dependent on temperature and altered according to linear functions of the thickness. The governing equations are derived by the third-order shear deformation plate theory taking into account von Kármàn geometrical nonlinearity and solved by both the Airy’s stress function and Galerkin method. In numerical results, the influences of various types of distribution and volume fractions of carbon nanotubes, geometrical parameters, elastic foundations on the nonlinear buckling and post-buckling behaviour of stiffened FG-CNTC plates subjected mechanical, thermal loading and both are demonstrated.

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“…Sofiyev and coauthors studied linear free and forced vibration and stability problems of CNT patterned cylindrical and conical shells based on the classical and shear deformation shell theories in different media [ 24 , 25 , 26 ]. Azarafza et al [ 27 ] investigated the linear free vibration of CNT- patterned grid-stiffened composite cylindrical shell within FSDT and using the ABAQUS CAE software. Cornacchiaet al [ 28 ] presented an analytical solution of linear vibrations and buckling of cross- and angle-ply nano plates using strain gradient theory.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Solution of Large Amplitude Vibration Problem of Construction Elements Made of Nanocomposites Using Shear Deformation Theory

et al. 2021

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The main purpose of the study is to investigate the vibration behaviors of carbon nanotube (CNT) patterned double-curved construction elements using the shear deformation theory (SDT). After the visual and mathematical models of CNT patterned double-curved construction elements are created, the large amplitude stress–strain relationships and basic dynamic equations are derived using the first order shear deformation theory (FSDT). Then, using the Galerkin method, the problem is reduced to the nonlinear vibration of nanocomposite continuous systems with quadratic and cubic nonlinearities. Applying the Grigolyuk method to the obtained nonlinear differential equation, large-amplitude frequency-amplitude dependence is obtained. The expressions for nonlinear frequencies of homogenous and inhomogeneous nanocomposite construction members such as plates, panels, spherical and hyperbolic-paraboloid (hypar) shells in the framework of FSDT are found in special cases. The accuracy of the results of the current study has been confirmed by comparing them with the reliable results reported in the literature. Original analyses are carried out to examine the effects of nonlinearity, CNT patterns and volume fraction changes on frequencies in the framework of shear deformation and classical shell theories.

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Free Vibration of Grid-Stiffened Composite Cylindrical Shell Reinforced with Carbon Nanotubes

Cited by 12 publications

References 34 publications

Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

Nonlinear Static Stability of Stiffened Nanocomposite Plate s Subjected Various Types of Loads

Modeling and Solution of Large Amplitude Vibration Problem of Construction Elements Made of Nanocomposites Using Shear Deformation Theory

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