Based on the Timoshenko beam theory, von Kármán geometric nonlinearity assumption and the modified couple stress theory, this paper presents linear and nonlinear free vibration analysis of rotating two-dimensional functionally graded micro-beam with even and uneven porous distributions. The material properties vary along the axial and thickness directions. The NURBS function is employed as the basic one to overcome the inherent difficulty of constructing higher order continuous displacement function for modified couple stress theory based finite element formulation. The validity of the present simulation is validated by comparing numerical results with those available literatures for rotating functionally graded micro-beams. Finally, the effects of several parameters such as porosity, power law index, material length scale parameter, rotational speed and hub radius on dimensionless frequencies and nonlinear frequency ratios are discussed.

基于Timoshenko梁理论，vonKármán几何非线性假设和改进的耦合应力理论，本文给出了具有均匀和不均匀多孔分布的旋转二维功能梯度微束的线性和非线性自由振动分析。材料特性沿轴向和厚度方向变化。NURBS函数被用作基本函数，克服了基于改进的耦合应力理论基于有限元公式构造高阶连续位移函数的固有困难。通过将数值结果与旋转功能梯度微束的现有文献进行比较，可以验证本模拟的有效性。最后，几个参数的影响，例如孔隙率，幂律指数，材料长度比例参数，