中文摘要：

根据Euler-Bernoulli 梁理论和粘弹性材料的Kelvin-Voigt 理论建立风力机叶片挥舞-摆振耦合非线性动力学方程.将位移视为静态位移和动态位移的叠加,进而将非线性动力学方程线性化为动态位移的线性方程,得到叶片耦合振动特征方程.使用基于加权残值的Galerkin 方法求解特征方程,分析叶片气弹稳定性,讨论风速、安装角、耦合效应和材料阻尼对叶片颤振稳定性和非线性自激振动行为的影响.结果表明：摆振方向易出现不稳定振动,通过设置安装角,利用挥舞-摆振耦合可以控制不稳定振动,但当安装角太大时,挥舞-摆振耦合会引起不稳定振动.

英文摘要：

The nonlinear partial differential equations which govern the coupled flap-lead/lag vibration of wind turbine blades were established based on the Euler-Bernoulli beam theory and the Kelvin-Voigt theory for cohesive elastic composite materials. By decomposing blade displacement into static displacement and dynamic displacement, the nonlinear governing equations were linearized to the linear equations for the dynamic displacement. And then, the characteristic equation of the coupled vibration was obtained. The Galerkin method based on the method of weighted residuals was employed to solve the characteristic equation and analyze the aeroelastic stability of the blades. The influence of wind speed, installation angle, coupling effect and material damping on the aeroelastic stability and nonlinear self-excited oscillation of the blades was discussed. Results show that the coupling effect between flap and lead-lag may be employed to improve the aeroelastic stability of the blades, but very strong coupling effect between them due to the large installation angle may bring about vibration instability.