Vibration and buckling analysis of two-layered functionally graded cylindrical shell, considering the effects of transverse shear and rotary inertia

Sepiani, Hossein; Rastgoo, Abbas; Ebrahimi, Farzad; Arani, A. Ghorbanpour

doi:10.1016/j.matdes.2009.09.052

Cited by 63 publications

(21 citation statements)

References 20 publications

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“…Flügge's shell theory was used to derive the governing equations. Sepiani et al [2] investigated the free vibration and buckling of a two-layered cylindrical shell made of an inner functionally graded and outer isotropic elastic layer subjected to combined static and periodic axial forces. The governing equations were presented based on two different methods of the first-order shear deformation 2 Love's first approximation theory…”

Section: Introductionmentioning

confidence: 99%

Natural frequencies of rotating functionally graded cylindrical shells

Xiang

Zhang

et al. 2012

Appl. Math. Mech.-Engl. Ed.

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Love's first approximation theory is used to analyze the natural frequencies of rotating functionally graded cylindrical shells. To verify the validity of the present method, the natural frequencies of the simply supported non-rotating isotropic cylindrical shell and the functionally graded cylindrical shell are compared with available published results. Good agreement is obtained. The effects of the power law index, the wave numbers along the x-and θ-directions, and the thickness-to-radius ratio on the natural frequencies of the simply supported rotating functionally graded cylindrical shell are investigated by several numerical examples. It is found that the fundamental frequencies of the backward waves increase with the increasing rotating speed, the fundamental frequencies of the forward waves decrease with the increasing rotating speed, and the forward and backward waves frequencies increase with the increasing thickness-to-radius ratio.

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Section: Introductionmentioning

confidence: 99%

Natural frequencies of rotating functionally graded cylindrical shells

Xiang

Zhang

et al. 2012

Appl. Math. Mech.-Engl. Ed.

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“…Shariyat [21] considered the coupling thermo-elastic effects on buckling and postbuckling of pre-stressed imperfect FG cylindrical shells under a thermal impact. Other studies have investigated the buckling of FGM shells [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Thermal Buckling of Axially Functionally Graded Thin Cylindrical Shell

Yaghoobi

Fereidoon

Shahsiah

2011

Journal of Thermal Stresses

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In the present research, thermal buckling of shell made of functionally graded material (FGM) under thermal loads is investigated. The material properties of functionally graded materials (FGMs) are assumed to be graded in the axial direction according to a simple power law distribution in terms of the volume fractions of the constituents. In the previous articles that published, these properties are assumed to be graded in the thickness direction. Nonlinear kinematic (strain-displacement) relations are considered based on the first order shear deformation shell theory. By substituting kinematic and stress-strain relations of functionally graded shell in the total potential energy equation and employing Euler equations, the equilibrium equations are obtained. Applying Euler equations to the second variation of total potential energy equation leads to the stability equations. Then, buckling analysis of functionally graded shell under three types of thermal loads is carried out resulting into closed-form solutions.

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“…The cylindrical shell has been reinforced by CNT in the radial direction and the material properties are estimated by the extended rule of mixture. Sepiani et al investigate the free vibration and buckling of a two‐layered cylindrical shell made of an inner FG and outer isotropic elastic layer, subjected to combined static and periodic axial forces. Material properties of a FG cylindrical shell are considered as temperature dependent and graded in the thickness direction according to a power law distribution in terms of the volume fractions of the constituents.…”

Section: Introductionmentioning

confidence: 99%