Free vibration analysis of functionally graded cylindrical shell with stiffeners
In this study, an analytical solution for the free vibration of orthogonally stiffened functionally graded circular cylindrical shell with the simply supported boundary conditions at both of ends is presented. Here, the material properties are assumed to be graded in the thickness direction of shell according to the simple power-law distribution. The purpose of this study is to show a simple approach in solving the problem on free vibration of the stiffened FG cylindrical shell. Moreover, despite the high applicability of this structure, there are also very few researches related to the stiffened FG cylindrical shell with orthogonal stiffeners, so the study on this type of structure is essential. Based on Love’s shell theory, the smearing stiffener technique, by applying the Hamilton’s principle, the motion equation of stiffened FG cylindrical shell is developed. Next, Navier’s solution is also used to solve the problem on the free vibration of simply supported stiffened FG cylindrical shell. Besides, in this paper, the influences of parameters such as power-law index, the dimension of stiffeners, the shell’s length – to – radius ratio and the shell’s height – to – radius ratio on the natural fundamental frequency of stiffened FG circular cylindrical shell are investigated. Finally, some useful comments for the relevant subjects on the stiffened FG circular cylindrical shells are also given.
Keywords: free vibration analysis; stiffened FG cylindrical shell, Love’s shell theory.