Abstract The geometric nonlinear problem caused by large deformation and the aeroelastic issue under extreme wind conditions are becoming more and more prominent, as the flexibility of wind turbine blades enhances. To solve this problem, a model of Blade analysis with Multi-Body (BaMB) method is built by the rigid multi-body dynamics method in absolute coordinates. The model describes geometric nonlinearity and complex geometry of blades, and accurate results can be obtained by the model after blades are reasonably divided. Based on this model, the geometric nonlinearity of a 100 kW blade under static loading and the aeroelastic response under extreme operating gust (EOG) condition are investigated numerically and compared with experimental results. The results show that BaMB model is able to predict more accurate deformation than beam models under static loading when the deformation of the blade increases, especially when the blade is loaded with more than 120% of the maximum design load and the tip deflection is larger than 15.36% of the blade spans. At 210% of the maximum design load, the BaMB model can predict the deformation at the accuracy of 1.48% with respect to the test; however, the accuracies of the Euler-Bernoulli beam and the Timoshenko beam are 18.3% and 16.79%, respectively. Even in the case of large deformation, the BaMB model can reach the accuracy close to the finite element method (FEM) with high computational efficiency. The aeroelastic response of the blade under EOG condition is analyzed, and the results show that the BaMB model predicts reliable aeroelastic characteristics of the blade compared with commercial software.

中文翻译：

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基于多体动力学方法的风力机叶片动力响应研究

摘要 随着风机叶片柔韧性的提高，大变形引起的几何非线性问题和极端风况下的气动弹性问题越来越突出。针对这一问题，利用刚性多体动力学方法在绝对坐标下建立了多体叶片分析模型(BaMB)。该模型描述了叶片的几何非线性和复杂的几何形状，合理划分叶片后该模型可以获得准确的结果。基于该模型，对静载荷下 100 kW 叶片的几何非线性和极端操作阵风 (EOG) 条件下的气动弹性响应进行了数值研究，并与实验结果进行了比较。结果表明，当叶片变形增加时，BaMB模型比静载荷下的梁模型能够更准确地预测叶片变形，特别是当叶片加载超过最大设计载荷的120%且叶尖挠度大于15.36% 的叶片跨度。在210%的最大设计载荷下，BaMB模型相对于试验可以以1.48%的精度预测变形；然而，欧拉-伯努利光束和铁木辛哥光束的精度分别为 18.3% 和 16.79%。即使在大变形的情况下，BaMB模型也能达到接近有限元法（FEM）的精度，计算效率高。分析了叶片在EOG条件下的气动弹性响应，