摘要
复合行星风电齿轮箱受客观存在的材料分布不均、工艺误差、随机载荷等不确定性因素影响,易造成其系统动力学性能出现“算不准、算不快”等问题。为准确揭示数据匮乏时齿轮箱内外部参数的不确定性传播规律,发展复合行星风电齿轮箱高精度建模与不确定性分析方法。充分考虑齿轮箱实际服役中约束、载荷情况,建立其高精度模型,并通过零部件与整机动力学试验验证模型准确性。采用功能度量法与非概率相关性传播公式准确获取齿轮箱多维输出响应的区间与非概率相关系数,建立多维椭球模型。结果表明:通过考虑材料参数的不确定性与相关性,所提方法可准确获取箱体最大等效应力、最大变形与各阶频率的不确定域;采用功能度量法与蒙特卡洛模拟方法获取输出响应区间结果的相对误差小于1%;采用非概率相关性传播公式与相关近似建模方法所得响应间相关系数基本一致,并结合区间信息准确建立输出响应的多维椭球模型。
The compound planetary gearbox of the wind turbine is subjected to uncertainties,such as the unevenness of materials,manufacturing errors,random loads,etc.,lead to inaccurate or slow calculations in its system dynamics performance analysis.To accurately reveal the uncertainty propagation law from the internal and external parameters to the output responses of the gearbox under limited data,a high-precision modelling and uncertainty analysis method for the compound planetary gearbox is developed in this paper.A high-precision simulation model of the compound planetary gearbox is established with full consideration of constraints and actual load conditions,and its accuracy is verified by through component and system dynamic tests.The intervals and non-probabilistic correlation coefficients of the multidimensional responses are obtained by adopting the performance measure approach and the non-probabilistic correlation propagation equation to establish multidimensional ellipsoidal models of output responses.The results indicate that the proposed method can accurately obtain the uncertainty boundary of the maximum equivalent stress,the deformation,and the frequencies of the compound planetary gearbox by considering the uncertainties and correlations of the material parameters.The maximum relative errors output response intervalss obtained using the performance measure approach and the Monte Carlo simulation method are less than 1%.Additionally,the correlation coefficients among the responses by applying the non-probabilistic correlation propagation equation and the correlation approximation method are basically the same.By combining the intervals and non-probabilistic correlation coefficients,the multidimensional ellipsoidal models for the responses are accurately established.
作者
欧阳衡
赵隆达
赵颖
侯炎兵
王毅
苑光明
Ouyang Heng;Zhao Longda;Zhao Ying;Hou Yanbing;Wang Yi;Yuan Guangming(State Key Laboratory of Intelligent Power Distribution Equipment and System,School of Mechanical Engineering,Hebei University of Technology,Tianjin 300401,China;Tianjin Teek Transmission Co.,Ltd.,Tianjin 301800,China;College of Mechanical and Vehicle Engineering,Hunan University,Changsha 410082,China)
出处
《太阳能学报》
北大核心
2025年第5期485-495,共11页
Acta Energiae Solaris Sinica
基金
河北省高等学校科学研究项目产学研合作专项(CXY2024005)
国家自然科学基金(52475252,12102122)
河北省自然科学基金创新研究群体延续资助项目(E2024202298)。
关键词
风电机组
齿轮箱
不确定性分析
动力学分析
功能度量法
非概率相关性
wind turbines
uncertainty analysis
dynamic analysis
performance measure approach
non-probabilistic correlation propagation equation
