The nonlinear vibration responses of rotating blades used in turbomachinery under aerodynamic pressure loadings were investigated. Firstly, the rotating blade was settled as a rotating cantilever beam made by functional graded material. Then, the effect of geometric large deformation and aerodynamic force was taken into account in dynamic analysis. The nonlinear governing partial differential equations of the blade were established by using Hamiltonian Principle. The Galerkin method and the method of multiple scales were utilized to analyze the nonlinear dynamics of the blade. By using numerical simulation, the vibration responses of the blade under different air flow velocities were obtained. The results show that there exist complicated nonlinear behaviors in blade system such as periodic motions and chaotic motions.
张伟,冯志青,曹东兴.航空发动机叶片非线性动力学分析[J].动力学与控制学报,2012,10(3):213~221; Zhang Wei, Feng Zhiqing, Cao Dongxing. Analysis on nonlinear dynamics of the aero engine blade[J]. Journal of Dynamics and Control,2012,10(3):213-221.