Thermoelastic analysis of three-dimensional functionally graded rotating disks based on finite volume method

Gong, Junbo; Ming, Pingjian; Xuan, Liang; Zhang, Wenping

doi:10.1177/0954406213489933

Cited by 13 publications

(8 citation statements)

References 30 publications

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“…Consequent on this, researchers have been continually motivated to use various techniques and methodologies to deal with this exciting material in order to enhance its state-of-the-art. There are now excellent books [1][2][3][4] Foremost amongst these are the applications of direct analytical procedure using the governing differential equations of motion [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19], finite element [20][21][22], Rayleigh-Ritz [23], finite volume [24][25][26], differential quadrature [27], differential transformation [27,28] and transfer function [29,30] methods. Recently the dynamic stiffness method (DSM) has also been proposed [31,32].…”

Section: Introductionmentioning

confidence: 99%

Free vibration of functionally graded beams and frameworks using the dynamic stiffness method

Banerjee

Ananthapuvirajah

2018

Journal of Sound and Vibration

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The free vibration analysis of functionally graded beams (FGBs) and frameworks containing FGBs is carried out by applying the dynamic stiffness method and deriving the elements of the dynamic stiffness matrix in explicit algebraic form. The usually adopted rule that the material properties of the FGB vary continuously through the thickness according to a power law forms the fundamental basis of the governing differential equations of motion in free vibration. The differential equations are solved in closed analytical form when the free vibratory motion is harmonic. The dynamic stiffness matrix is then formulated by relating the amplitudes of forces to those of the displacements at the two ends of the beam. Next, the explicit algebraic expressions for the dynamic stiffness elements are derived with the help of symbolic computation. Finally the Wittrick-Williams algorithm is applied as solution technique to solve the free vibration problems of FGBs with uniform cross-section, stepped FGBs and frameworks consisting of FGBs. Some numerical results are validated against published results, but in the absence of published results for frameworks containing FGBs, consistency checks on the reliability of results are performed. The paper closes with discussion of results and conclusions.

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Section: Introductionmentioning

confidence: 99%

Free vibration of functionally graded beams and frameworks using the dynamic stiffness method

Banerjee

Ananthapuvirajah

2018

Journal of Sound and Vibration

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“…Different numerical and analytical methods were employed in these papers but none of these references worked on elastic problem of anisotropic disks. Gong et al [32] applied finite volume method to study the thermo-elastic problem of rotating three-dimensional FG disk.…”

Section: Introductionmentioning

confidence: 99%

Stress analysis of rotating functionally graded polar orthotropic disk under thermomechanical loading

Jalali¹,

Jalali²

2020

J. vibroeng.

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In this paper, thermo-elastic stress analysis of rotating variable thickness annular disk made of polar orthotropic functionally graded material (FGM) is presented. Elasticity modulus, density and thick-ness of the disk are assumed to vary radially according to a power law function. The material of the disk is assumed to be temperature dependent and different temperature distributions are assumed for variation of the temperature in radial direction. Radial stress and radial deformation of the disk with Clamped-Free (C-F) and Free-Free (F-F) boundary conditions are obtained using the numerical finite difference (FD) method. It is concluded that, by increasing the temperature variation, the radial stress and displacement increase. It is also observed that the radial stress in the rotating FG disk is more than the radial stress in rotating homogeneous disk and by increasing the FG index, the location of maximum stress in the disk shifts toward the outer surface. Also, the effects of temperature variation along the radius and orthotropy of the material on the radial stress and deformation are evaluated and concluded that their effect are significant. The results are compared with the available results in the literature and the good agreement between the present results and results in the literature shows the accuracy of FD method in thermo-elastic analysis of rotating FG orthotropic disk of variable thickness.

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“…Afsar and Sohag (2010) considered the thermoelastic characteristics of a thin free-free disc having a FGM coating at the outer surface under thermal and centrifugal loads. Gong et al (2014) used a fi nite volume method to study the 3-D thermoelastic analysis of FG uniform rotating discs. Th ey showed that the least square method achieves better performances than the Gaussian method but least square method costs slightly more iteration and computer memory under diff erent mesh types.…”

Section: Introductionmentioning

confidence: 99%

Thermomechanical Characteristics of a Functionally Graded Mounted Uniform Disc with/without Rigid Casing

Yıldırım

2019

J.Aerosp. Technol. Manag.

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In the present paper, thermomechanical attributes of a power-law graded uniform mounted disc with or without rigid casing are investigated analytically under centrifugal and steady-state thermal loads within the framework of axisymmetric infinitesimal plane-stress elasticity theory. Young's modulus, material density, thermal expansion coefficient and thermal conductivity are all assumed to be constantly changed in the radial direction with different inhomogeneity indexes while Poisson's ratio is kept constant. Two parametric studies are conducted by both hypothetically and physically chosen metal-ceramic pairs namely nickel-silicon nitride (Ni-Si3N4), aluminum-aluminum oxide (Al-Al2O3), and stainless steel-zirconium oxide (SUS304-ZrO2).

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Thermoelastic analysis of three-dimensional functionally graded rotating disks based on finite volume method

Cited by 13 publications

References 30 publications

Free vibration of functionally graded beams and frameworks using the dynamic stiffness method

Free vibration of functionally graded beams and frameworks using the dynamic stiffness method

Stress analysis of rotating functionally graded polar orthotropic disk under thermomechanical loading

Thermomechanical Characteristics of a Functionally Graded Mounted Uniform Disc with/without Rigid Casing

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