基于随机子空间法和自适应DBSCAN的自动模态识别

AUTOMATIC MODAL IDENTIFICATION BASED ON STOCHASTIC SUBSPACE IDENTIFICATION METHOD AND ADAPTIVE DBSCAN

  • 摘要: 环境激励下的模态参数识别是工程结构运营模态分析的关键步骤,也是结构健康监测的重要内容。该文基于协方差驱动随机子空间法和DBSCAN聚类提出了一种自动模态分析方法,主要包括以下四部分内容:基于协方差驱动随机子空间法的系统识别;通过改进的模态距离和二分K-means实现自适应DBSCAN聚类;根据归一化的聚类维度和模态能量对候选模态进行二分K-means聚类,自动选择潜在物理模态聚类;基于模态重叠因子和模态置信准则的协同作用控制模态内的分裂现象,实现模态定阶和代表模态提取。通过Dowling Hall钢桁架桥Benchmark,自动识别了结构的前六阶模态参数,验证了所提算法的准确性和鲁棒性。研究结果表明:该文所提自动模态识别方法能够有效解决密集模态、模态分裂、模型阶数过估计和传感器数量(位置)受限等关键难题,同时可应用于动力检/监测系统的自动化运营模态分析。

     

    Abstract: The identification of modal parameters under ambient excitations is a critical step in the operational modal analysis (OMA) of engineering structures and plays a vital role in structural health monitoring. This research presents an automatic modal analysis method based on the covariance-driven stochastic subspace identification (SSI-Cov) method and, on DBSCAN clustering, comprising four main components: The system identification using the SSI-Cov; The adaptive DBSCAN clustering enhanced by an improved modal distance and by binary K-means; The binary K-means clustering of candidate modes based on normalized clustering dimensions and, on modal energies to automatically select potential physical mode clusters; The control of mode splitting based on the modal overlap factor and, on the modal confidence criterion for the modal order determination and, for the representative mode extraction. The accuracy and robustness of the algorithm proposed are verified by the Dowling Hall steel truss bridge Benchmark, which automatically identifies the first six orders of modal parameters of the structure. The results demonstrate that the method proposed effectively addresses key challenges such as closely spaced modes, modal splitting, model order overestimation, and limited number (location) of sensors, making it well suited for the automated operational modal analysis in dynamic inspections and monitoring systems.

     

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