Tikhonov正则化在运行工况传递路径分析的应用

发布时间：2018-11-17 19:15

【摘要】：针对传统运行工况传递路径分析(operational transfer path analysis,简称OTPA)存在的不足,通过理论和试验分析,提出基于Tikhonov正则化方法的OTPA反问题模型。首先,分析Tikhonov正则化方法的理论优势,给出Tikhonov正则化参数选择的依据,同时调节电机转速获得不同运行工况数据,利用奇异值分解方法研究壳体结构的振动传递路径,分析传统OTPA算法总贡献量误差及路径贡献量估计精度;其次,分析运行工况数据是否满足Picard条件,提出基于Tikhonov正则化方法的OTPA算法,并分析Tikhonov正则化参数对所提出算法的影响。分析结果表明,所提出的方法显著减小了总贡献量和路径贡献量误差以及路径误判现象。该研究可为振动噪声监控与减振降噪提供理论依据。
[Abstract]:In view of the shortcomings of the traditional operating mode transfer path analysis (OTPA), a OTPA inverse problem model based on the Tikhonov regularization method is proposed through theoretical and experimental analysis. Firstly, the theoretical advantages of Tikhonov regularization method are analyzed, and the basis of Tikhonov regularization parameter selection is given. At the same time, the data of different operating conditions are obtained by adjusting motor speed, and the vibration transfer path of shell structure is studied by singular value decomposition method. The total contribution error of traditional OTPA algorithm and the estimation accuracy of path contribution are analyzed. Secondly, the Picard condition is analyzed, and the OTPA algorithm based on the Tikhonov regularization method is proposed, and the influence of the Tikhonov regularization parameters on the proposed algorithm is analyzed. The results show that the proposed method can significantly reduce the errors of total contribution and path contribution, as well as path misjudgment. The research can provide theoretical basis for vibration and noise monitoring and vibration reduction.
【作者单位】：西安交通大学机械制造系统工程国家重点实验室;西安交通大学机械工程学院;
【基金】：国家自然科学基金资助项目(51305329) 中国博士后科学基金资助项目(2014T70911,2013M532032) 高等学校博士学科点专项科研基金资助项目(20130201120040) 陕西省博士后基金资助项目
【分类号】：TB535

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