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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。
In this paper, the dynamic response and the stability of the wind turbine blades are analyzed. Based on the partial differential equations of the blade with large deflection, the Galerkin truncation is discretized to obtain the modal equation. By decomposing the shimmy displacement into the static displacement and the dynamic displacement, the static displacement and the dynamic displacement equation are obtained. The perturbation method is used to solve the dynamic response under the condition of main resonance. The influence of inflow velocity ratio on the steady-state solution and amplitude and the stability of equilibrium point are analyzed. It is concluded that when the inflow velocity ratio is within a certain range, the shimmy motion of the blade appears as the main resonance, and in the main resonance region, the blade nonlinear shimmy is a stable periodic motion.