Nonlinear analysis of functionally graded nanocomposite rotating thick disks with variable thickness reinforced with carbon nanotubes

Zafarmand, Hassan; Kadkhodayan, Mehran

doi:10.1016/j.ast.2014.12.002

Cited by 18 publications

(6 citation statements)

References 30 publications

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“…Finite elements, finite difference, differential quadrature, and boundary element methods are among the numerical solution methods [12]. Considerable research has been done on stress and strain analysis in rotating disks with various boundary conditions using various techniques such as the nonlinear graded finite element method [13], finite difference method [14], variable material properties (VMP) method [15,16], meshless method based on the local Petrov-Galerkin approach [17], homotopy analysis method [18] and generalized differential quadrature method [19]. The generalized differential quadrature method is utilized for solving a variety of problems because of its high accuracy, reliability and general applicability.…”

Section: Introductionmentioning

confidence: 99%

Application of 2-D GDQ Method to Analysis a Thick FG Rotating Disk with Arbitrarily Variable Thickness and Non-Uniform Boundary Conditions

Zharf

2024

AAMM

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In this paper two-dimensional differential quadrature method has been used to analyze thick Functionally Graded (FG) rotating disks with non-uniform boundary conditions and variable thickness. Material properties vary continuously along both radial and axial directions by a power law pattern. Three-dimensional solid mechanics theory is employed to formulate the axisymmetric problem as a second order system of partial differential equations. The non-uniform boundary conditions are exerted directly into the governing equations to reach the eigenvalue system of equations. Four different disk profile shapes are considered and discussed. The effect of the power law exponent is also investigated and results show that by the use of material which functionally varied along the radial and especially axial directions the stresses and strains can be controlled so the capability of the disk is increased. Comparison with other available approaches in the literature shows a good agreement here in terms of computational time, robustness and accuracy of the present method. Moreover, novel applications are shown to provide results for further studies on the same topics.

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Section: Introductionmentioning

confidence: 99%

Application of 2-D GDQ Method to Analysis a Thick FG Rotating Disk with Arbitrarily Variable Thickness and Non-Uniform Boundary Conditions

Zharf

2024

AAMM

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“…Zafarmand and Kadkhodayan [31] utilized axisymmetric theory of elasticity to study nonlinear static behavior of FG-CNT-reinforced rotating thick disks. Alibeigloo [32] presented thermoelastic stress distributions in FG-CNTRC cylindrical panels using 3D theory of elasticity. Tahouneh and Naei [33] 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.…”

Section: Introductionmentioning

confidence: 99%

“…Moradi‐Dastjerdi et al developed a refined shear deformation plate theory to evaluate the natural frequencies of sandwich plates with nanocomposite face sheets reinforced by FG distribution of randomly oriented straight CNT. Zafarmand and Kadkhodayan utilized axisymmetric theory of elasticity to study nonlinear static behavior of FG‐CNT‐reinforced rotating thick disks. Alibeigloo presented thermoelastic stress distributions in FG‐CNTRC cylindrical panels using 3D theory of elasticity.…”

Section: Introductionmentioning

confidence: 99%

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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“…Zhao and Wu [23] established the coupling equations of motion of a rotating three-dimensional cantilever beam to study the effects of Coriolis term and steady-state axial deformation on coupling vibration, which considered the longitudinal shrinkage caused by flapwise and chordwise bending displacement. At present, a large amount of articles relating to free vibration of rotating functionally graded plates or disk can be found (see, for instance, [24][25][26]).…”

Section: Introductionmentioning

confidence: 99%

Transverse Vibration of Rotating Tapered Cantilever Beam with Hollow Circular Cross‐Section

Wang

2018

Shock and Vibration

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Problems related to the transverse vibration of a rotating tapered cantilever beam with hollow circular cross-section are addressed, in which the inner radius of cross-section is constant and the outer radius changes linearly along the beam axis. First, considering the geometry parameters of the varying cross-sectional beam, rotary inertia, and the secondary coupling deformation term, the differential equation of motion for the transverse vibration of rotating tapered beam with solid and hollow circular cross-section is derived by Hamilton variational principle, which includes some complex variable coefficient terms. Next, dimensionless parameters and variables are introduced for the differential equation and boundary conditions, and the differential quadrature method (DQM) is employed to solve this differential equation with variable coefficients. Combining with discretization equations for the differential equation and boundary conditions, an eigen-equation of the system including some dimensionless parameters is formulated in implicit algebraic form, so it is easy to simulate the dynamical behaviors of rotating tapered beams. Finally, for rotating solid tapered beams, comparisons with previously reported results demonstrate that the results obtained by the present method are in close agreement; for rotating tapered hollow beams, the effects of the hub dimensionless angular speed, ratios of hub radius to beam length, the slenderness ratio, the ratio of inner radius to the root radius, and taper ratio of cross-section on the first three-order dimensionless natural frequencies are more further depicted.

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Nonlinear analysis of functionally graded nanocomposite rotating thick disks with variable thickness reinforced with carbon nanotubes

Cited by 18 publications

References 30 publications

Application of 2-D GDQ Method to Analysis a Thick FG Rotating Disk with Arbitrarily Variable Thickness and Non-Uniform Boundary Conditions

Application of 2-D GDQ Method to Analysis a Thick FG Rotating Disk with Arbitrarily Variable Thickness and Non-Uniform Boundary Conditions

Stress distributions in nanocomposite sandwich cylinders reinforced by aggregated carbon nanotube

Transverse Vibration of Rotating Tapered Cantilever Beam with Hollow Circular Cross‐Section

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