Vibration behavior of magnetorheological‐filled functionally graded nanocomposite cylinders reinforced by carbon nanotube

Safari, Setareh; Moradi‐Dastjerdi, Rasool; Abadi, Alireza Nezam; Tajdari, Mehdi

doi:10.1002/pc.24405

Cited by 4 publications

(5 citation statements)

References 50 publications

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“…, can be rewritten by employing Eq . in FE form as :

boldε = boldBu

where

boldB = ([], \begin{matrix} center \\ \frac{\partial N_{italic1}}{\partial r} & 0 & \frac{\partial N_{italic2}}{\partial r} & 0 & . & . \\ \frac{N_{1}}{r} & 0 & \frac{N_{2}}{r} & 0 & . & . \\ 0 & \frac{\partial N_{italic1}}{\partial z} & 0 & \frac{\partial N_{italic2}}{\partial z} & . & . \\ \frac{\partial N_{italic1}}{\partial z} & \frac{\partial N_{italic1}}{\partial r} & \frac{\partial N_{italic2}}{\partial z} & \frac{\partial N_{italic2}}{\partial r} & . & . \end{matrix} \begin{matrix} center \\ . & . & . & \frac{\partial N_{p}}{\partial r} & 0 \\ . & . & . & \frac{N_{p}}{r} & 0 \\ . & . & . & 0 & \frac{\partial N_{p}}{\partial z} \\ . & . & . & \frac{\partial N_{p}}{\partial z} & \frac{\partial N_{p}}{\partial r} \end{matrix})

p is equal to the node numbers of each elements. Finally, by substitution of Eqs .…”

Section: Finite Element Formulationmentioning

confidence: 99%

“…Tahouneh and Naei employed 3D elasticity solution and presented free vibration analysis of nanocomposite curved panels and sandwich panels reinforced by FG randomly oriented CNTs resting on elastic foundation. Safari et al developed an axisymmetric FE model to study vibration and damping behavior of hallow FG‐CNTRC cylinders filled by magneto‐rheological oil. Also, a mesh‐free method based on MLS shape functions and transformation method was utilized for static, free vibration, and dynamic behavior axisymmetric cylinders reinforced by FG distribution of wavy CNTs .…”

Section: Introductionmentioning

confidence: 99%

“…Safari et al [34] developed an axisymmetric FE model to study vibration and damping behavior of hallow FG-CNTRC cylinders filled by magneto-rheological oil. Also, a mesh-free method based on MLS shape functions and transformation method was utilized for static, free vibration, and dynamic behavior axisymmetric cylinders reinforced by FG distribution of wavy CNTs [35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

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Stress distributions in nanocomposite sandwich cylinders reinforced by aggregated carbon nanotube

et al. 2019

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In order to improve the static response of thick hollow cylinders, a sandwich cylinder with two carbon nanotube (CNT)‐reinforced nanocomposite face sheets are proposed in this article. Moreover, due to the use of optimum amount of high cost CNTs, the CNT distribution is suggested to be functionally graded (FG) along the thickness of cylinder. The stress and deflection profiles of the proposed sandwich cylinders subjected to internal and external pressures have been investigated using a finite element method (FEM) based on an axisymmetric model. The significant effect of formation of CNT agglomerations in the surrounded matrix is considered and the material properties of the resulted nanocomposite are estimated by Eshelby‐Mori‐Tanaka approach. Using the developed axisymmetric FEM model, the effects of CNT aggregation state, volume fraction, and distribution as well as geometrical dimension and loading condition on the stress and deflection distributions of the nanocomposite sandwich cylinders have been characterized. The extensive simulations have revealed that instead of adding higher volume fraction of CNT, the selection of suitable distribution for CNTs can lead to a nanocomposite sandwich cylinder with less deflection. POLYM. COMPOS., 40:E1918–E1927, 2019. © 2019 Society of Plastics Engineers

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“…, can be rewritten by employing Eq . in FE form as :

boldε = boldBu

where

boldB = ([], \begin{matrix} center \\ \frac{\partial N_{italic1}}{\partial r} & 0 & \frac{\partial N_{italic2}}{\partial r} & 0 & . & . \\ \frac{N_{1}}{r} & 0 & \frac{N_{2}}{r} & 0 & . & . \\ 0 & \frac{\partial N_{italic1}}{\partial z} & 0 & \frac{\partial N_{italic2}}{\partial z} & . & . \\ \frac{\partial N_{italic1}}{\partial z} & \frac{\partial N_{italic1}}{\partial r} & \frac{\partial N_{italic2}}{\partial z} & \frac{\partial N_{italic2}}{\partial r} & . & . \end{matrix} \begin{matrix} center \\ . & . & . & \frac{\partial N_{p}}{\partial r} & 0 \\ . & . & . & \frac{N_{p}}{r} & 0 \\ . & . & . & 0 & \frac{\partial N_{p}}{\partial z} \\ . & . & . & \frac{\partial N_{p}}{\partial z} & \frac{\partial N_{p}}{\partial r} \end{matrix})

p is equal to the node numbers of each elements. Finally, by substitution of Eqs .…”

Section: Finite Element Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Stress distributions in nanocomposite sandwich cylinders reinforced by aggregated carbon nanotube

et al. 2019

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“…For the sake of better studying theoretically the characteristics of sandwich structures, since the work of Kerwin, [4] then DiTaranto et al [5] extended Kerwin's research, and subsequently, kinds of theories and solutions were developed, such as, thin shell theories, [6][7][8][9][10] such as Donnel-Mushtari's theory and Reissner-Naghdi's theory; first order shear theory (FOST) [11,12] and high order shear theory. [13][14][15] Meanwhile, various solution methods are developed for studying the vibration and damping properties of these structures, such as, the Navier method, [16,17] differential quadrature method, [18,19] finite element method, [20,21] and Ritz method [22] et al Those theories and solutions have been broadly used to were widely applied to stress analysis, free and forced vibration, bending, buckling, et al [23,24] Based on these theories and solutions, numbers of vibration and damping analyzes of CCSCS have been carried out. On behalf of studying the bending property of sandwich shells, Carrera and Brischetto [25] assessed various shell theories in their work.…”

Section: Introductionmentioning

confidence: 99%

Vibration characteristics of circular composite sandwich cylindrical shells with soft core

Dong

Yin

et al. 2022

Polymer Composites

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In this article, in order to obtain better vibration characteristics of circular composite sandwich cylindrical shells (CCSCS), the free vibration and damping property of CCSCS has been performed with parameter analysis. First, the equations of motion of CCSCS are deduced by adopting a displacement continuous piece-wise model based on Hamilton's principle and first order shear theory, in which shear strain and rotary inertias of all layers are considered. Second, the exact Navier method is adopted to obtain the solutions of these vibration equations and is authenticated by comparison with the results of open literatures. Finally, the change rule of free vibration and damping property versus thickness, shear parameter, and some structure parameters ratios are presented graphically, then a series of valuable conclusion are proposed to make CCSCS obtain higher rigidity and damping property.

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“…Due to the nano effect in nanostructured materials, nanocomposite mechanical properties are very sensitive to filler size . Nanocomposite mechanical properties are affected by different factors such as reinforcement size, distribution, orientation, and morphology . In CNT‐reinforced composites chirality and aspect ratio have great influences on elastic properties.…”

Section: Introductionmentioning

confidence: 99%

Investigating the effects of CNT aspect ratio and agglomeration on elastic constants of crosslinked polymer nanocomposite using multiscale modeling

2017

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Multiscale modeling has been developed to calculate the Young's modulus of carbon nanotube (CNT) reinforced epoxy-based nanocomposites. Molecular dynamics was used to construct nanocomposite models consisting of crosslinked network structure of epoxy resin as the matrix material and CNT as the reinforcement at nanoscale. Transversely, isotropic stiffness matrices were calculated using constant strain method on four cases with different CNT chiralities. Effective fiber method was employed to scale bridging from nanoscale to microscale. In multiscale calculations, various types of micromechanical methods were investigated and Halpin-Tsai formulation was selected due to its more realistic predictions. The results showed that increasing CNT aspect ratio from 1 to 1,000 results in an increase in nanocomposite Young's modulus by about three times for nanocomposite reinforced with CNT(20,0). Comparing CNT(5,0) with CNT(20,0) reinforced polymer results, suggested that increasing the CNT radius resulted in a decrease in nanocomposite moduli to about one half. Multiscale results indicated that CNT agglomeration can decrease nanocomposite Young's modulus to one-third compared to the dispersed CNT case. Predicted results were compared with numerical and experimental results found in the literature and good agreement was observed. POLYM. COMPOS., 00:000-000,

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Vibration behavior of magnetorheological‐filled functionally graded nanocomposite cylinders reinforced by carbon nanotube

Cited by 4 publications

References 50 publications

Stress distributions in nanocomposite sandwich cylinders reinforced by aggregated carbon nanotube

Stress distributions in nanocomposite sandwich cylinders reinforced by aggregated carbon nanotube

Vibration characteristics of circular composite sandwich cylindrical shells with soft core

Investigating the effects of CNT aspect ratio and agglomeration on elastic constants of crosslinked polymer nanocomposite using multiscale modeling

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