针对海上浮式风机疲劳分析中存在的计算成本过高和结果误差大等问题，提出了一种基于统计线性化和改进频带法的计算方法对风机塔底疲劳性能进行分析。在该方法中通过引入统计线性化算法对浮式风机非线性耦合动力模型进行处理，以提高热点应力的计算效率。对传统频带法加以改进，对其中应力幅度的概率密度函数进行修正，使其精准反映浮式风机应力响应谱的多峰特性，提高疲劳分析准确度。以Spar型海上浮式风机为例，用所提方法对其在波浪耦合作用下的塔底疲劳性能进行分析，同时对方法的准确性和可行性进行验证。结果表明，采用所提方法可使浮式风机热点应力的计算效率提升4~5个数量级，且疲劳损伤的计算精度较传统频带法有大幅度的改良，特别是对谱宽系数较大的海况，是一种能对浮式风机的疲劳性能进行精准分析且高效的方法，可用于海上浮式风机疲劳问题的快速评估。

英文摘要:

To address the high computational cost and significant errors in the fatigue analysis of floating offshore wind turbines, this study proposes a computational method based on statistical linearization and an improved frequency band method for analyzing the fatigue performance of the tower bottom. The statistical linearization algorithm is introduced to process the nonlinear coupled dynamic model of floating offshore wind turbines, enhancing the computational efficiency of hot spot stress. Meanwhile, the traditional frequency band method is refined by modifying the probability density function of stress amplitude to accurately capture the multi-peak characteristics of the stress response spectrum of floating offshore wind turbines, thereby improving fatigue analysis accuracy. Taking a Spar-type floating offshore wind turbine as an example, the proposed method is applied to analyze the tower bottom fatigue performance under wave coupling conditions, and its accuracy and feasibility are validated. The results indicate that the proposed method improves the computational efficiency of hot spot stress by 4 to 5 orders of magnitude. Moreover, the accuracy of fatigue damage calculation is significantly improved compared to the traditional frequency band method, particularly under sea conditions with large spectral width coefficients. This method enables precise and efficient fatigue analysis of floating offshore wind turbines, making it suitable for rapid assessment of floating offshore wind turbine fatigue issues.

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