Rotating cylindrical shells have been widely used in rotating machinery. The vibration characteristics of rotating composite cylindrical shells have a significant influence on the rotor dynamics. This paper provides a useful approach for the vibration analysis of a rotating functionally graded (FG) graphene nanoplatelets (GPLs) reinforced composite (GPLRC) cylindrical shell with matrix cracks. GPLs and matrix cracks are distributed in multilayer FG-GPLRC shells. The modified Halpin-Tsai model and self-consistent model are employed to determine the effective materials properties and stiffness degradation of the composite shell. The energy functional of rotating FG-GPLRC cylindrical shells are obtained using the first-order shear deformation theory (FSDT). Based on the improved moving least-squares Ritz (IMLS-Ritz) approximation, the discrete vibration equations of rotating FG-GPLRC cylindrical shells are derived. The accuracy of the IMLS-Ritz results is examined by comparing the natural frequencies with those presented in the previously published papers. Then the effects of crack density parameter, rotating speed, GPLs parameters, weight fraction, size and geometry, as well as the geometry of the cylindrical shell and boundary conditions on the critical rotating speed and natural frequency are examined comprehensively.

旋转圆柱壳已广泛应用于旋转机械中。旋转复合圆柱壳的振动特性对转子动力学有显着影响。本文为具有基体裂纹的旋转功能梯度 (FG) 石墨烯纳米片 (GPL) 增强复合材料 (GPLRC) 圆柱壳的振动分析提供了一种有用的方法。GPL 和基体裂纹分布在多层 FG-GPLRC 壳中。采用修正的 Halpin-Tsai 模型和自洽模型来确定复合材料壳的有效材料特性和刚度退化。使用一阶剪切变形理论 (FSDT) 获得旋转 FG-GPLRC 圆柱壳的能量泛函。基于改进的移动最小二乘 Ritz (IMLS-Ritz) 近似，推导出旋转FG-GPLRC圆柱壳的离散振动方程。IMLS-Ritz 结果的准确性是通过将自然频率与先前发表的论文中提出的频率进行比较来检查的。然后综合考察裂纹密度参数、转速、GPLs参数、重量分数、尺寸和几何形状以及圆柱壳几何形状和边界条件对临界转速和固有频率的影响。