论文标题
风力涡轮机刀片的平面外和平面振动的多个尺度分析
Multiple scales analysis of out-of-plane and in-plane vibrations of a wind turbine blade
论文作者
论文摘要
研究了两种情况，研究了两种情况，研究了隔离的水平轴风力涡轮刀片的稳态响应。通过将刀片建模为悬臂式Euler-Bernoulli梁并应用Lagrangian配方，可以寻求两种情况的运动方程。考虑到刀片旋转对引力和空气动力的影响并允许叶片发生较大的变形，系统中会产生各种非线性，从而产生超谐音的共振。采用参数的实际相关数值，我们适当地订购了参数的较小度。然后，我们通过分别应用多个比例的方法来获得对应于初级和超谐音共振的频率响应，分别用于平面外和平面案例。比较使用谐波平衡方法获得的结果。
Steady-state response of an isolated horizontal axis wind turbine blade undergoing out-of-plane and in-plane vibrations are studied considering the two cases separately. Equations of motion for both cases are sought by modeling the blade as cantilevered Euler-Bernoulli beam and applying the Lagrangian formulation. Taking into account the effects of blade rotation on gravitational and aerodynamic forces and allowing the blade to undergo large deformations, various nonlinearities arise in the system resulting in superharmonic resonances. Taking practically relevant numerical values of parameters, we suitably order the parameters for their smallness. We then obtain the frequency responses corresponding to primary and superharmonic resonances by applying the method of multiple scales up to fourth and third orders for out-of-plane and in-plane cases respectively. Comparisons are drawn with the results obtained using the method of harmonic balance.
