环境激励下基于两阶段聚类的输电塔结构模态参数自动识别研究

Research on automatic identification of modal parameters for transmission tower structures based on two-stage clustering under ambient excitation

  • 摘要: 模态参数在损伤识别和荷载识别领域有着重要意义,为解决经典随机子空间识别法(stochastic subspace identification,SSI)在模态参数识别过程中存在自动性差、虚假模态难以识别剔除以及扭转振型识别困难等问题,提出一种两阶段模态参数自动识别方法。首先采用随机子空间法处理时域动力响应;随后对得到的样本特征进行模糊C-均值聚类(fuzzy c-means clustering,FCM),将虚假模态剔除。之后,采用新的截断阈值计算方法将提取的结构模态先对频率进行层次聚类得到各阶模态,再对各阶模态进行第二次层次聚类剔除局部模态,并采用投影法识别扭转振型。以某输电塔为原型开展了数值仿真分析和足尺试验验证,结果证明所提算法识别频率误差不超过1%,振型相关系数达到0.99以上,不仅可以有效剔除虚假模态,还能自动识别出输电塔结构的平动和扭转振型。

     

    Abstract: Modal parameters play a crucial role in damage identification and load recognition. To address the issues of poor automation, difficulty in identifying and eliminating spurious modes, and challenges in recognizing torsional mode shapes in the classical stochastic subspace identification (SSI) method, a two-stage automatic modal parameter identification method is proposed. First, the stochastic subspace identification method is used to process the time-domain dynamic response. Then, the extracted sample features are subjected to Fuzzy C-Means (FCM) clustering to remove spurious modes. Subsequently, a new truncation threshold calculation method is employed to hierarchically cluster the extracted structural modes based on frequency, obtaining modal orders. A second hierarchical clustering is then applied to eliminate local modes, followed by a projection method to identify torsional modes. A numerical simulation and full-scale experimental verification were conducted using a transmission tower as a prototype. The results demonstrate that the proposed method achieves a frequency identification error of no more than 1%, with mode shape correlation coefficients exceeding 0.99. The method not only effectively removes spurious modes but also automatically identifies both translational and torsional mode shapes of the transmission tower structure.

     

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