风力机叶片非线性摆振响应及稳定性分析  

Analysis of the Dynamic Response and Stability for Non-Linear Lead-Lag Vibrations of Wind Turbine Blades

作　　者：秦营[1] 刘启宽[1,2] 李亮[3] 李映辉[3] 

机构地区：[1]成都信息工程学院数学学院,成都610225 [2]昆明学院数学系,昆明650214 [3]西南交通大学力学与工程学院,成都610031

出　　处：《力学季刊》2013年第1期41-48,共8页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金项目资助(11072204);四川省应用基础研究计划项目资助(2010JY0079);昆明学院引进人才科研项目资助(YJL12005);中央高校专项基金(SWJTU11ZT15)

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。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.

关 键 词：风力机叶片 摆振 主共振 稳定性 

分 类 号：O317[理学—一般力学与力学基础] O322[理学—力学]