基于聚类和神经网络的结构模态参数自动识别与定阶方法

Structural modal parameter automatic identification and order determination method based on clustering and neural networks

  • 摘要: 针对传统稳定图法依赖人工经验、聚类方法参数敏感性高及模态定阶困难等问题,本研究提出了基于DBSCAN聚类与FCNN神经网络的结构模态参数自动识别与定阶方法:通过构建阻尼比阈值、复共轭模态判据、MPC及稳定点密度四重模态筛选指标以剔除虚假模态;提出基于空间余弦距离的模态相似性度量方法,结合DBSCAN聚类算法实现稳定轴的精准分离;进一步建立FCNN分类预测模型,以频率与振型为特征输入,实现模态阶次的自动判定。基于单管塔风洞试验和工程实测数据进行验证,结果表明:模态参数自动识别方法能有效剔除虚假模态,实现模态的自动化识别;模态参数自动定阶方法能实现对各阶模态准确定阶,试验模态定阶准确率100%,工程实测模态定阶准确率可达98.9%;同时还证实了单管塔结构存在正交模态耦合现象,且本文所提方法能够准确处理耦合模态。

     

    Abstract: To address the limitations of the traditional stabilization diagram methods, which rely heavily on artificial experience, suffer from the high sensitivity of clustering algorithms to parameter selection, and face difficulties in modal order determination, this study proposes an automatic modal parameter identification and order determination method based on the DBSCAN clustering algorithm and the FCNN neural network. The proposed method employs four modal filtering criteria—damping ratio threshold, detection of complex conjugate modes, MPC, and stability point density—to eliminate spurious modes. An innovative modal similarity measurement method based on spatial cosine distance is proposed, which, combined with the DBSCAN clustering algorithm, enables the accurate separation of similar modes in the stabilization diagram. Furthermore, an FCNN neural network classification model is established, using frequency and mode shape as input features and modal order as the output, to train a classifier for automatic modal order determination. The method is validated using wind tunnel tests of a monopole tower and field measurement data. The results demonstrate that the automatic modal parameter identification method can effectively eliminate spurious modes and achieve reliable modal identification. The proposed automatic modal order determination method achieves a 100% accuracy in experimental modal classification and 98.9% accuracy in field measurements. Additionally, the results confirm the existence of orthogonal modal coupling phenomena in monopole tower structures, which can be accurately identified and processed using the proposed method.

     

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