Exact solution of a thick walled functionally graded piezoelectric cylinder under mechanical, thermal and electrical loads in the magnetic field

Arefi, Mohammad; Rahimi, Gholamhossein; Khoshgoftar, M.J.

doi:10.12989/sss.2012.9.5.427

Cited by 54 publications

(13 citation statements)

References 13 publications

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“…After defining the material properties and strain-displacement relation, the stress-strain relations for FGM section and stress-strain equations considering the electric field for FGPM sections are presented as follows [9,20] :…”

Section: Theory and Formulationmentioning

confidence: 99%

Free vibration analysis of functionally graded laminated sandwich cylindrical shells integrated with piezoelectric layer

Irani-Rahaghi

Karroubi

Arefi

2016

Appl. Math. Mech.-Engl. Ed.

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An analytical method for the three-dimensional vibration analysis of a functionally graded cylindrical shell integrated by two thin functionally graded piezoelectric (FGP) layers is presented. The first-order shear deformation theory is used to model the electromechanical system. Nonlinear equations of motion are derived by considering the von Karman nonlinear strain-displacement relations using Hamilton's principle. The piezoelectric layers on the inner and outer surfaces of the core can be considered as a sensor and an actuator for controlling characteristic vibration of the system. The equations of motion are derived as partial differential equations and then discretized by the Navier method. Numerical simulation is performed to investigate the effect of different parameters of material and geometry on characteristic vibration of the cylinder. The results of this study show that the natural frequency of the system decreases by increasing the non-homogeneous index of FGP layers and decreases by increasing the non-homogeneous index of the functionally graded core. Furthermore, it is concluded that by increasing the ratio of core thickness to cylinder length, the natural frequencies of the cylinder increase considerably.

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Section: Theory and Formulationmentioning

confidence: 99%

Free vibration analysis of functionally graded laminated sandwich cylindrical shells integrated with piezoelectric layer

Irani-Rahaghi

Karroubi

Arefi

2016

Appl. Math. Mech.-Engl. Ed.

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“…By considering the heat conductive differential equation for a non homogenous material along the radial direction, we have (See Refs. [5,11]…”

Section: Heat Conduction Equationmentioning

confidence: 99%

The effect of nonhomogeneity and end supports on the thermo elastic behavior of a clamped–clamped FG cylinder under mechanical and thermal loads

Arefi¹,

Rahimi²

2012

International Journal of Pressure Vessels and Piping

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“…After suggestion of these materials, some recent researches focused on the thermal, mechanical and vibration analysis of the structures made of functionally graded materials. Structures such as plate, cylinder and sphere have been analyzed as famous structures by the researchers [1][2][3][4][5][6][7][8][9]. Because of vast applications of cylindrical pressure vessels in technical applications such as gas or liquid vessels, nuclear reactors and chemical laboratory, the present paper deals with the elastic analysis of a FG cylindrical pressure vessel with axially variable loading.…”

Section: Introductionmentioning

confidence: 99%

“…General moment F General potential function Fðu; w; / x ; / z Þ Functional of the system X f g Vector of general deformation ½G 1 4 Â 4 Matrix of material property ½G 2 4 Â 4 Matrix of material property ½G 3 4 Â 4 Matrix of material property fFg…”

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confidence: 99%

Elastic Solution of a Constrained FG Short Cylinder Under Axially Variable Pressure

Arefi

Bidgoli

2016

J. Inst. Eng. India Ser. C

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Elastic analysis of a functionally graded thick cylinder under longitudinally variable mechanical loadings is studied in the present paper. The modulus of elasticity is graded along the thickness direction based on the power law function. The cylinder is subjected to variable pressure along the longitudinal direction. First order shear deformation theory is employed for description of a two dimensional displacement field. This is due to fully constrained boundary conditions of the cylinder. An analytical approach was proposed for solution of non homogenous system of differential equations and derivation of homogenous and particular solutions. This approach has capability to model different types of loading (constant, linear and other types) along the longitudinal direction. The effect of different constant and variable loads is considered on the elastic results of FG cylinder.

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Exact solution of a thick walled functionally graded piezoelectric cylinder under mechanical, thermal and electrical loads in the magnetic field

Cited by 54 publications

References 13 publications

Free vibration analysis of functionally graded laminated sandwich cylindrical shells integrated with piezoelectric layer

Free vibration analysis of functionally graded laminated sandwich cylindrical shells integrated with piezoelectric layer

The effect of nonhomogeneity and end supports on the thermo elastic behavior of a clamped–clamped FG cylinder under mechanical and thermal loads

Elastic Solution of a Constrained FG Short Cylinder Under Axially Variable Pressure

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