The vibration and stability of a three-layered conical shell containing an FGM layer subjected to axial compressive load |
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Authors: | A H Sofiyev A Deniz I H Akçay E Yusufo?lu |
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Affiliation: | (1) Department of Civil Engineering of Suleyman Demirel University, 32260 Isparta;(2) Department of Mathematics, Ushak Science and Literature Faculty, Afyon Kocatepe University, Ushak;(3) Department of Mechanical Engineering of Suleyman Demirel University, Isparta;(4) Department of Mathematics of Dumlupinar University, Kutahya, Turkey |
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Abstract: | Summary In this paper, the vibration and stability of a three-layered conical shell containing a functionally graded material (FGM)
layer subjected to axial compressive load are studied. The material properties of the functionally graded layer are assumed
to vary continuously through the thickness of the shell. The variation of properties follows an arbitrary distribution in
terms of the volume fractions of the constituents. The fundamental relations, the dynamic stability and compatibility equations
of three-layered truncated conical shells containing an FGM layer are obtained first. Applying Galerkin's method, these equations
are transformed to a pair of time dependent differential equations, and critical axial load and frequency parameter are obtained.
The results show that the critical parameters are affected by the configurations of the constituent materials and the variation
of the shell geometry. Comparing results with those in the literature validates the present analysis. |
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