The free vibration of rotating functionally graded porous (FGP) circular cylindrical shell with different boundary conditions is presented analytically in this study. The porous material properties are assumed to be graded in the thickness direction of the cylindrical shell according to three types of porosity distributions. By using Love’s shell theory and Hamilton’s principle, the governing equations of the rotating FGP cylindrical shell are derived, in which the effects of the centrifugal and Coriolis forces due to rotation are also taken into account. The natural frequencies of the rotating FGP cylindrical shell structure subjected to different boundary conditions are determined by applying Galerkin’s method together with beam functions of longitudinal mode functions. To validate the present results, comparisons between the results of the present method and previous studies are performed; a very good agreement is achieved. Besides, some influences of porous material properties, boundary conditions, circumferential wave number, geometric parameters, Coriolis acceleration, rotating speed on natural frequency as well as critical speed of the rotating FGP cylindrical shell are given.

中文翻译：

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不同边界条件下旋转功能梯度多孔圆柱壳的自由振动特性

本研究分析了具有不同边界条件的旋转功能梯度多孔（FGP）圆柱壳的自由振动。根据三种类型的孔隙率分布，假设多孔材料特性在圆柱壳的厚度方向上分级。利用洛夫壳理论和哈密顿原理，推导出了旋转 FGP 圆柱壳的控制方程，其中还考虑了旋转引起的离心力和科里奥利力的影响。旋转FGP圆柱壳结构在不同边界条件下的固有频率是通过应用伽辽金方法和纵模函数的梁函数确定的。为了验证目前的结果，对本方法的结果与以前的研究进行了比较；达成了很好的协议。此外，还给出了多孔材料特性、边界条件、圆周波数、几何参数、科里奥利加速度、转速对旋转FGP圆柱壳的固有频率和临界速度的一些影响。