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通过随机振动理论研究了风力机的随机响应及其基准期内反应极值的求解方法。风振反应被分解为均匀风振响应和脉动风振响应两部分进行分析,采用虚拟激励法(PEM)计算了风力机叶片和塔架在脉动风作用下的随机抖振反应,从而计算了随机抖振反应极值的数学期望;根据风剪效应计算了极值均匀风所引起的风振反应。结果分析表明,在频域内计算抖振反应的极值有效避免了在时域内采取多条风速时程样本求取极值的复杂过程,方法更为精确;同时通过采用PEM方法,自动考虑模态耦合影响,且理论上是精确的算法。
The stochastic vibration theory is used to study the stochastic response of wind turbine and the solution of the reaction extremum during the reference period. The wind vibration response is decomposed into two parts: uniform wind vibration response and pulsating wind vibration response. Pseudo-excitation method (PEM) is used to calculate the random chattering responses of wind turbine blade and tower under pulsating wind. The expectation of the extremum of chattering reaction is calculated. According to the wind shear effect, the wind-induced vibration induced by the uniform wind is calculated. The results show that the calculation of the extremum of chattering response in the frequency domain effectively avoids the complicated process of obtaining extreme values by taking multiple time-series samples in the time domain, and the method is more accurate. Meanwhile, the PEM method is adopted to automatically consider the modal Coupling effects, and theoretically accurate algorithms.