Analysis of a rotating FGMEE circular disk with variable thickness under thermal environment

Dai, Ting; Dai, H. L.

doi:10.1016/j.apm.2017.01.007

Cited by 25 publications

(6 citation statements)

References 31 publications

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“…So, the resulted equations are rearranged to have the form of Runge-Kutta method. One can write equations ( 43), (45), and (46) as…”

Section: Runge-kutta Methodsmentioning

confidence: 99%

“…According to equations (43) to (46), by considering H z ¼ 0, the terms containing H z corresponding Lorentz force (F r and F ) become zero. Thus, l is omitted from equations ( 43), (45), and (46). Since equation ( 44) is decoupled from three other equations, l has no effect on radial displacement, electric potential, magnetic potential, radial stress, and hoop stress (radial and hoop stresses are functions of radial displacement, electric potential, and magnetic potential according to equations ( 16) and ( 17)).…”

Section: Study Of Effective Parametersmentioning

confidence: 99%

“…The nano-disk is considered to be under thermal and mechanical loads, while it is rotating with a constant angular velocity. Dai and Dai 45 analyzed the stresses and displacements of a nonuniform thickness FGMEE annular plate under the multi-field loads. Thawait et al 46 worked on concave thickness FGM rotating disc.…”

Section: Introductionmentioning

confidence: 99%

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Effects of porosity, profile of thickness, and angular acceleration on the magneto-electro-elastic behavior of a porous FGMEE rotating disc placed in a constant magnetic field

Saadatfar

Zarandi

Babaelahi

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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Effects of porosity, profile of thickness and angular deceleration on the stress and deformation of a fluid-saturated functionally graded porous magneto-electro-elastic rotating disc are investigated in this article. Since the angular velocity is taken to be variable, the disc is subjected to Lorentz force in two directions: radial and circumferential. It is assumed that material properties of the disc obey power-law function of radius. The disc is uniformly porous and its thickness varies as a function of radius. First, three coupled governing partial differential equations in terms of the displacement and electric potential are converted to ordinary differential equations employing the separation of variable method. Then, obtained equations are solved using the Runge–Kutta and shooting methods for the case of fixed–free boundary condition. The effect of variable angular velocity, thickness profile, inhomogeneity index, porosity, and magnetic field is studied and illustrated graphically. The results demonstrate that considering angular acceleration for the disc has a considerable effect on the Lorentz force resulted from the magnetic field. Besides, the angular velocity constant has a significant effect on the stresses and displacements in the presence of the magnetic field.

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“…So, the resulted equations are rearranged to have the form of Runge-Kutta method. One can write equations ( 43), (45), and (46) as…”

Section: Runge-kutta Methodsmentioning

confidence: 99%

Section: Study Of Effective Parametersmentioning

confidence: 99%

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Effects of porosity, profile of thickness, and angular acceleration on the magneto-electro-elastic behavior of a porous FGMEE rotating disc placed in a constant magnetic field

Saadatfar

Zarandi

Babaelahi

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Meanwhile, most of researches for the circular disks have been carried out without considering contact force during the cutting process, even though contact force is a crucial parameter in determination of the thermo-elastic characteristics [7][8]. Rad [9] investigated static behavior of the auxetic-porous structures composed of multi directional heterogeneous materials with considering friction force.…”

Section: Jaegwi Gomentioning

confidence: 99%

Thermo-elastic characteristics of homogeneous circular disk models subjecting to a contact force

Go¹

2019

ces

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The thermo-elastic characteristics of a rotating Al homogeneous circular disk have been investigated by considering a contact force on a work piece area. A pair of partial differential equation is induced as a governing equations based on Hooke's law. Due to the complexity of the governing equations a finite volume model is applied to the problem to obtain approximate solutions. Contact force may not be ignorable parameter to determine thermoelastic movements in rotating circular disk. Moreover, the numerical approximations yields that radial thickness is a crucial factor to control the thermo-elastic behavior of rotating circular disks.

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“…Additionally, some researchers have considered the disk thickness variation. Thermomechanical stress analyses of fgm disks having variable thickness profiles have studied extensively with analytical, 21 semi-analytical, 22–25 and finite element approaches. 26–28 Changes in material properties due to temperature have not been considered in any study from the first reference to this point.…”

Section: Introductionmentioning

confidence: 99%

Thermo-mechanical stress analysis of rotating fiber reinforced variable thickness disk

Farukoğlu

Korkut

2021

The Journal of Strain Analysis for Engineering Design

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Circumferentially fiber reinforced composite disk, which has a variable thickness, is modeled via analytical approaches. The disk is subjected to rotation in traction free conditions and decreasing, constant, and increasing steady state radial temperature gradients along the disk radius. Limit angular velocities are calculated by operating Tsai-Wu and Norris failure indexes to the problem. Subsequently, these limit velocities are gradually decreased to examine the stress and displacement fields. Acquired results show that as the angular velocity drops, the effects of temperature gradients become more visible. At lower angular velocities, these gradients may even alter the stress field directions. Also, different failure criteria implementation may change the calculated limit velocities to a considerable degree. Therefore, the failure index should be chosen attentively to procure conservative results. In the investigation, the influence of disk geometry on the directional stresses is studied as well. Without further ado, it can be expressed that the geometry causes slight alterations in stresses and displacements.

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Analysis of a rotating FGMEE circular disk with variable thickness under thermal environment

Cited by 25 publications

References 31 publications

Effects of porosity, profile of thickness, and angular acceleration on the magneto-electro-elastic behavior of a porous FGMEE rotating disc placed in a constant magnetic field

Effects of porosity, profile of thickness, and angular acceleration on the magneto-electro-elastic behavior of a porous FGMEE rotating disc placed in a constant magnetic field

Thermo-elastic characteristics of homogeneous circular disk models subjecting to a contact force

Thermo-mechanical stress analysis of rotating fiber reinforced variable thickness disk

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