期刊
COMPOSITE STRUCTURES
卷 94, 期 7, 页码 2237-2245出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2012.02.005
关键词
Non-linear vibration; FGMs; Conical shell; Dimensionless non-linear frequency; parameters
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. (C) 2012 Elsevier Ltd. All rights reserved.
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