In this article, the exact free vibration of porous functionally graded rotating blades is investigated. The nonlinear 3D dynamics of the blade is simulated using the geometrically exact fully intrinsic beam equations, and the corresponding cross-sectional properties of the FG beam are developed. The material properties of the functionally graded material blade are graded through the thickness using a power law distribution. Furthermore, it is assumed that due to the manufacturing process, a level of porosity exists in the material which in turn can affect the material properties of the blade. Two porosity models resembling the even and uneven distributions of porosity are considered. First, the obtained results for a functionally graded material rotating blade are compared with those reported in the literature, and a very good agreement is observed. Furthermore, the effect of various parameters on the vibration of the functionally graded material beam is investigated. It is obtained that the dynamics of the rotating blade is sensitive to the type of the porosity due to manufacturing flaws. Moreover, the numerical results show that the blade length to height ratio, power law index, rotating speed and porosity distribution model affect the dynamics of the beam significantly.

在本文中，研究了多孔功能梯度旋转叶片的精确自由振动。叶片的非线性 3D 动力学使用几何精确的完全固有梁方程进行模拟，并开发了 FG 梁的相应横截面特性。功能分级材料叶片的材料特性使用幂律分布在厚度上分级。此外，假设由于制造过程，材料中存在一定程度的孔隙率，这反过来会影响叶片的材料特性。考虑了类似于孔隙度的均匀和不均匀分布的两种孔隙度模型。首先，将功能梯度材料旋转叶片的结果与文献中报道的结果进行比较，并且观察到非常好的一致性。此外，研究了各种参数对功能梯度材料梁振动的影响。结果表明，由于制造缺陷，旋转叶片的动力学对孔隙率的类型很敏感。此外，数值结果表明，叶片长高比、幂律指数、转速和孔隙度分布模型对梁的动力学有显着影响。