风力机叶片的弯扭耦合振动分析

Bend-Torsion Coupled Vibration Analysis for Wind Turbine Blades

根据一般粘性阻尼叶片的弯扭耦合振动模型,利用有限差分方法对叶片的动力方程进行离散处理,得到了叶片的质量、阻尼和刚度矩阵。然后运用MATLAB振动工具箱对系统的弯扭耦合振动进行了仿真分析,求出四种不同类型叶片的六阶固有频率和振型,并与相关文献进行了比较分析。在建立叶片系统的线性定常状态空间方程的基础上,对叶片施加初始位移扰动,通过运用时间离散和MATLAB振动工具箱,得到叶片在弯扭方向的收敛、颤振和发散振动仿真曲线。论文的研究对风力机叶片的设计生产有一定的借鉴意义。

The mass, damping and stiffness matrices were got from differential equations according to bend-torsion coupled vibration of general viscous damping blades, by means of a finite difference discretization method. It derived natural frequencies and modes of vibration of four types of blades by the simulation of bend-torsion coupling vibration with MATLAB vibration toolbox, then compared and analyzed to the relative references. After building a linearized stationary state space of the system and applying displacement stimuli, it can draw the displacement curves of the blade tip in convergence, flutter and divergence. The study is a reference to the design and manufacture on a wind turbine.