二阶主共振下旋转叶片振动抑制器稳定性研究

Rotating blades, as the most important component of the gas turbine, work in the high-temperature and high-pressure environment. Blades are usually damaged due to excessive vibration. The active vibration control has the advantages of small quality and wide control frequency band, which is suitable for the working environment and structure of rotating blades. Therefore, in recent years, scholars have gradually paid attention to the active vibration control of rotating blades. The purpose of the present investigation is the vibration suppressor stability of rotating blades with time delay in the presence of internal resonance. Macro fiber composite is a new type of piezoelectric intelligent material, which has a wide range of applications in aerospace, aviation, and other fields. We studied the active vibration control of rotating blades in the presence of 1: 2 internal resonance and second-order principal resonance conditions. The differential equations of motion were established for the controlled system. The autonomous evolution equation of the controlled system was obtained by the multiple-scale method. The analytical solution of the first two modal steady-state responses was derived. The effects of the parameters on response and stability were studied. The original dynamical system was integrated numerically to verify the theoretical results. The results provide a theoretical basis for the dynamic behavior analysis and vibration control of rotating blades.