The buckling analysis of the FGM cylindrical shell with the flexible thickness in Finite Element Method

چکیده مقاله

In this article, a model of finite element method for the analysis of the FGM cylindrical shell buckling with flexible thickness has been presented. The differential equation ruling the behavior of cylindrical shell buckling with flexible thickness, due to flexibility of coefficients is in lack of analytical solution. Thus, with the help of this model, the critical load and mode shape of the buckling are determined in a high precision. This research includes a mathematical analysis and numerical calculations. The shell behavior follows the classic theory of buckling shells. The material behavior is in the limit of linear elastic. The change of ceramic percentage in the materials is in line with the shell thickness and follows the power law. The functionally graded material is inhomogeneous but it is assumed as isotropic. The shell has thickness changes only in the axial direction. In this research, the convergent circular buckling is studied. Also, the effect of different parameters including the rate of shell thickness changes and power index of changes in the percentage of ceramic at shell thickness are reviewed.

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