Thermo-piezo-magneto-mechanical stresses analysis of FGPM hollow rotating thin disk

Arani, A. Ghorbanpour; Maraghi, Z. Khoddami; Mozdianfard, Mohammad Reza; Shajari, A.R.

doi:10.1007/s10999-010-9141-3

Cited by 20 publications

(7 citation statements)

References 13 publications

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“…Given the assumption of axisymmetric loadings (i.e., = 0), three coupled di erential equations, namely, Eqs. ( 22){( 24), derived in this study are reduced to two coupled di erential equations, as stated in [20]. For this purpose, the geometrical parameters used are a = 0:2 m and b = 1 m and the non-homogeneity constant is assumed to be = 1.…”

Section: Numerical Results and Discussion 61 Veri Cation Of The Presented Solutionmentioning

confidence: 99%

“…They assumed that temperature distribution was a function of radial and circumferential directions and solved the di erential equations by employing generalized Bessel function and Fourier series method. Thermopiezo-magneto-elastic response of rotating Functionally Graded Piezomagnetic (FGP) disks exposed to thermal and mechanical loadings was studied by Ghorbanpour Arani et al [20]. In this study, they explained the effects of non-homogeneity constant on the distributions of stresses, displacement, and magnetic potential.…”

Section: Introductionmentioning

confidence: 92%

“…where u and v are displacements in the radial and circumferential directions, respectively. Magnetic eld is considered B i = r and the constitutive equations are expressed as [20,32,34…”

Section: Preliminariesmentioning

confidence: 99%

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The effects of hygro-thermal loading on the two-dimensional response of a functionally graded piezomagnetic cylinder under asymmetric loads

Gharibavi

Jun

2019

Scientia Iranica

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In this article, a semi-analytical solution is presented in order to analyze a Functionally Graded Piezomagnetic (FGP) cylinder resting on an elastic foundation exposed to hygro-thermal loading. All mechanical, hygro-thermal, and magnetic properties were considered to be varying according to the power-law function through the thickness. The steady-state heat conduction and moisture di usion equations were employed to attain the moisture concentration and temperature distributions in the FGP cylinder. The constitutive equations as well as magnetic and mechanical equilibrium equations were combined in order to derive three second-order di erential equations in terms of magnetic potential and mechanical displacements. Variables were separated and the complex Fourier series method was utilized to solve the governing equations. Numerical results revealed the e ects of hygro-thermal loading, elastic foundation, and non-homogeneity constants on hygro-thermo-magneto-elastic response of the FGP cylinder. It was observed that hygrothermal loading had remarkable e ects on the behavior of the cylinder, leading to increase in the absolute values of the radial magnetic induction and radial, circumferential, and shear stresses.

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Section: Numerical Results and Discussion 61 Veri Cation Of The Presented Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 92%

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The effects of hygro-thermal loading on the two-dimensional response of a functionally graded piezomagnetic cylinder under asymmetric loads

Gharibavi

Jun

2019

Scientia Iranica

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“…Ghorbanpour et al. 30 investigated the effects of thermal and magnetic loads on the behavior of FGPM rotating discs. Loghman et al.…”

Section: Introductionmentioning

confidence: 99%

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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“…Also, Behravan Rad and Shariyat (2015) applied differential quadrature method (DQM) to investigate 3D magneto-elastic analysis of porous FGM circular plates. Another thermo-piezo-magneto-mechanical stress analysis for a functionally graded piezomagnetic (FGPM) hollow rotating thin disk was represented by Arani et al (Ghorbanpour Arani et al, 2011). Sladek et al (2015) proposed a new meshless method for bending analysis of an FG circular magneto-electro-elastic plate.…”

Section: Introductionmentioning

confidence: 99%

Magnetic field effect on free vibration of smart rotary functionally graded nano/microplates: A comparative study on modified couple stress theory and nonlocal elasticity theory

Shojaeefard

Googarchin

Mahinzare

et al. 2018

Journal of Intelligent Material Systems and Structures

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In this article, free vibration behavior of a rotating nano/microcircular plate constructed from functionally graded magneto-elastic material is simulated with the first-order shear deformation theory. For the sake of comparison, the nonlocal elasticity theory and the modified couple stress theory are employed to implement the small size effect in the natural frequencies behavior of the nano/microcircular plate. The governing equations of motion for functionally graded magneto-elastic material nano/microcircular plates are derived based on Hamilton’s principle; comparing the obtained results with those in the literature, they are in a good agreement. Finally, the governing equations are solved using the differential quadrature method. It is shown that the vibrational characteristics of functionally graded magneto-elastic material nano/microcircular plates are significantly affected by non-dimensional angular velocity, size dependency of the Eringen’s and the modified couple stress theories, and power law index for clamped and hinged boundary conditions. Results show that a critical point occurs by increasing the angular velocity and the effect of several parameters are changed after this point.

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Thermo-piezo-magneto-mechanical stresses analysis of FGPM hollow rotating thin disk

Cited by 20 publications

References 13 publications

The effects of hygro-thermal loading on the two-dimensional response of a functionally graded piezomagnetic cylinder under asymmetric loads

The effects of hygro-thermal loading on the two-dimensional response of a functionally graded piezomagnetic cylinder under asymmetric loads

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

Magnetic field effect on free vibration of smart rotary functionally graded nano/microplates: A comparative study on modified couple stress theory and nonlocal elasticity theory

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