采用多级模态组响应重构的密集模态损伤识别方法

Damage identification using multi-level modal group response reconstruction in the presence of close spaced modes

  • 摘要: 受限于常见的密集模态和庞大的结构维数,基于模态参数的损伤识别难以在土木结构中开展。对此,本文提出一种采用多级模态组响应重构的密集模态损伤识别方法。针对密集模态的情况,将频率间隔小的几个模态归为一组,并提取整个模态组响应作为损伤敏感特性。采用多级损伤识别和模型缩聚策略,在超单元级损伤定位中,首先通过模型缩聚将原结构转换为自由度更少的超单元模型,然后在定义模态组响应应变能作为损伤指标求解最小化问题,实现损伤超单元的定位;在单元级损伤识别中,最小化问题表述为重构和实际的模态组响应的误差,从而实现损伤单元定位和量化。通过数值模拟研究和试验验证,说明了该方法的运算过程和可行性。与传统方法对比的结果表明,该方法一方面通过多级识别策略和模型缩聚提高了损伤识别的精度和效率,另一方面通过将模态组作为损伤敏感特性改善了基于模态识别的方法面对密集模态时无法准确识别损伤的不足。无论密集模态存在与否都可基于结构的应力、应变、位移、加速度等多种动力响应进行损伤识别。

     

    Abstract: Limited by common situations of closely spaced modes and large structural dimension, damage identification based on modal parameter is difficult to perform in civil structures. A damage identification method based on multi-level modal group response reconstruction in the presence of close spaced modes is proposed. Several modes with small intervals are grouped together, and response of the entire modal group is extracted as damage sensitive characteristic. Based on the collected modal response, a multi-level damage identification strategy is adopted. In the super element level damage location, the original structure is first converted into a super element model with fewer DOFs through model reduction, and then the minimization problem is solved by defining the modal group response strain energy as a damage index to achieve the location of damaged super elements; In element level damage identification, the minimization problem is expressed as the discrepancy between reconstructed and actual modal group response to achieve elemental damage localization and quantification. A numerical simulation study and the experimental verification were conducted to demonstrate the operational process and feasibility of this method. Compared with traditional methods, the results show that the proposed method improves the accuracy and efficiency of damage identification through multi-level identification strategies and model reduction, and on the other hand, improves the shortcomings of modal-analysis-based methods that cannot accurately identify damage when faced with close spaced modes. Regardless of the presence or absence of close spaced modes. Damage identification can be performed based on multiple dynamic responses such as stress, strain, displacement, and acceleration of the structure.

     

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