The non-linear vibration of FGM truncated conical shells

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• 作者：A.H. Sofiyev ; ^{asofiyev@mmf.sdu.edu.tr}
• 关键词：Non-linear vibration ; FGMs ; Conical shell ; Dimensionless non-linear frequency parameters
• 刊名：Composite Structures
• 出版年：2012
• 期刊代码：15_02638223
• 类别：ms
• 出版时间：June, 2012
• 卷：94
• 期：7
• 页码：2237-2245
• 文件大小：483 K

摘要

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.