The non-linear vibration of FGM truncated conical shells |
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Authors: | A.H. Sofiyev |
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Affiliation: | Department of Civil Engineering, Suleyman Demirel University, 32260 Isparta, Turkey |
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Abstract: | In this study, the non-linear vibration of truncated conical shells made of functionally graded materials (FGMs) has been investigated using the large deformation theory with von Karman–Donnell-type of kinematic non-linearity. The material properties of FGMs are assumed to vary continuously through the thickness of the shell. The fundamental relations, the non-linear motion and compatibility equations of the FGM truncated conical shell are derived. By using Superposition method, Galerkin method and Harmonic balance method, the non-linear vibration of an FGM truncated conical shell is analyzed. Finally, the influences of compositional profiles and variation of shell geometry on the dimensionless non-linear frequency parameter and the variation of ratio of the non-linear frequency to the linear frequency are investigated. The present results are compared with the available data for a special case. |
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Keywords: | Non-linear vibration FGMs Conical shell Dimensionless non-linear frequency parameters |
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