This paper deals with the vibration characteristics of rotating functionally graded circular cylindrical shells (FG-CS). The thickness of the shell varies linearly along the longitudinal direction. The material properties are graded continuously with a power law (P-FGM) in the radial direction and depend on the temperature. The system of motion equation is established by using the first-order shear deformation theory (FSDT) and Hamilton's principle. The model considers the effects of centrifugal forces, Coriolis forces, and initial hoop tension due to rotation. The natural frequencies of the shells with various boundary conditions are obtained by Galerkin's method. Several competition examples validated the accuracy of the present model. Some numerical studies are then conducted to identify the effects of rotational speed, material properties, geometrical parameters, and boundary conditions (BCs) on the vibration response of rotating FG-CS in detail.

本文涉及旋转功能梯度圆柱壳（FG-CS）的振动特性。壳的厚度沿纵向线性变化。材料属性在径向上按照幂律 (P-FGM) 连续分级，并取决于温度。利用一阶剪切变形理论(FSDT)和哈密顿原理建立了运动方程组。该模型考虑了离心力、科里奥利力和由于旋转引起的初始环箍张力的影响。具有各种边界条件的壳的固有频率通过伽辽金方法获得。几个竞赛示例验证了当前模型的准确性。然后进行一些数值研究来确定转速的影响，