Thermal Buckling of Functionally Graded Material Cylindrical Shells on Elastic Foundation

In this paper, an analytical approach for nonlinear buckling and post-buckling behavior of stiffened porous functionally graded plate rested on Pasternak's elastic foundation under mechanical load in thermal environment is presented. The orthogonal and/or oblique stiffeners are attached to the surface of plate and are included in the calculation by improving the Lekhnitskii's smeared stiffener technique in the framework of higher-order shear deformation plate theory. The complex equilibrium and stability equations are established based on the Reddy's higher-order shear deformation plate theory and taken into account the geometrical nonlinearity of von Kármán. The solution forms of displacements satisfying the different boundary conditions are chosen, the stress function method and the Galerkin procedure are used to solve the problem. The good agreements of the present analytical solution are validated by making the comparisons of the present results with other results. In addition, the effects of porosity distribution, stiffener, volume fraction index, thermal environment, elastic foundation… on the critical buckling load and post-buckling response of porous functionally graded material plates are numerically investigated.

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Vibration and flutter analysis of supersonic porous functionally graded material plates with temperature gradient and resting on elastic foundation

Composite Structures ◽

10.1016/j.compstruct.2018.07.057 ◽

2018 ◽

Vol 204 ◽

pp. 63-79 ◽

Cited By ~ 18

Author(s):

Kai Zhou ◽

Xiuchang Huang ◽

Jiajin Tian ◽

Hongxing Hua

Keyword(s):

Temperature Gradient ◽

Elastic Foundation ◽

Functionally Graded Material ◽

Functionally Graded ◽

Flutter Analysis ◽

Graded Material

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Free Vibration and Static Bending Analysis of Piezoelectric Functionally Graded Material Plates Resting on One Area of Two-Parameter Elastic Foundation

Mathematical Problems in Engineering ◽

10.1155/2020/9236538 ◽

2020 ◽

Vol 2020 ◽

pp. 1-18

Author(s):

Hong Nguyen Thi

Keyword(s):

Free Vibration ◽

Elastic Foundation ◽

Functionally Graded Material ◽

Functionally Graded ◽

Engineering Practice ◽

Parameter Study ◽

Bending Analysis ◽

Wide Range ◽

Graded Material ◽

Two Parameter

Free vibration and static bending analysis of piezoelectric functionally graded material plates resting on one area of the two-parameter elastic foundation is firstly investigated in this paper. The third-order shear deformation theory of Reddy and 8-node plate elements are employed to derive the finite element formulations of the structures; this theory does not need any shear correction factors; however, the mechanical response of the structure is described exactly. Verification problems are performed to evaluate the accuracy of the proposed theory and mathematical model. A wide range of parameter study is investigated to figure out the effect of geometrical, physical, and material properties such as the plate dimension, volume fraction index, piezoelectric effect, elastic foundation coefficients, and the square size of the area of the foundation on the free vibration and static bending of piezoelectric functionally graded material plates. These numerical results of this work aim to contribute to scientific knowledge of these smart structures in engineering practice.

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Free Vibration and Elastic Critical Load of Functionally Graded Material Thin Cylindrical Shells Under Internal Pressure

International Journal of Structural Stability and Dynamics ◽

10.1142/s0219455418501389 ◽

2018 ◽

Vol 18 (11) ◽

pp. 1850138 ◽

Cited By ~ 8

Author(s):

Yueyang Han ◽

Xiang Zhu ◽

Tianyun Li ◽

Yunyan Yu ◽

Xiaofang Hu

Keyword(s):

Cylindrical Shell ◽

Free Vibration ◽

Internal Pressure ◽

Critical Load ◽

Natural Frequency ◽

Functionally Graded Material ◽

Present Method ◽

Cylindrical Shells ◽

Functionally Graded ◽

Graded Material

An analytical approach for predicting the free vibration and elastic critical load of functionally graded material (FGM) thin cylindrical shells filled with internal pressured fluid is presented in this study. The vibration of the FGM cylindrical shell is described by the Flügge shell theory, where the internal static pressure is considered as the prestress term in the shell equations. The motion of the internal fluid is described by the acoustic wave equation. The natural frequencies of the FGM cylindrical shell under different internal pressures are obtained with the wave propagation method. The relationship between the internal pressure and the natural frequency of the cylindrical shell is analyzed. Then the linear extrapolation method is employed to obtain the elastic critical load of the FGM cylindrical shell from the condition that the increasing pressure has resulted in zero natural frequency. The accuracy of the present method is verified by comparison with the published results. The effects of gradient index, boundary conditions and structural parameters on the elastic critical load of the FGM cylindrical shell are discussed. Compared with the experimental and numerical analyses based on the external pressure, the present method is simple and easy to carry out.

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