中文摘要：

本文对风力机叶片摆振运动的动态响应以及稳定性进行了分析。基于叶片大挠度摆振运动控制偏微分方程,进行Galerkin截断离散,得到模态方程。通过将摆振位移分解为静态位移和动态位移,得到了静态位移和动态位移方程。使用摄动法对主共振情况下的动态响应进行求解,分析了入流速度比对稳态解和振幅的影响,以及平衡点的稳定性。得到以下结论：当入流速度比处于在某范围内时,叶片摆振运动表现为主共振,在该主共振的区域内,叶片非线性摆振为稳定的周期运动。

英文摘要：

The dynamic response and stability of lead-lag vibrations of wind turbine blades were analyzed. The given governing equation of the vibration was discreted by using the Galerkin＇s method to get the mo- dal equation. The displacement of lead-lag vibrations was resolved to static displacement and dynamic dis- placement, and equations of the static and dynamic displacement were obtained. The dynamic responses under the primary resonance were solved by using the method of multiple scales. Moreover, the effects of the inflow ratio on the steady-state solution and amplitude, and the stability of all equilibrium points were analyzed. Results show that= when inflow ratio is in a range, the lead-lag vibrations of wind turbine blades performance primarily resonance. In this area of primarily resonance, the nonlinear lead-lag vibra- tions of wind turbine blades appear as the stable period movement.