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Simultaneous identification of excitation time histories and parametrized structural damages

机译：同时识别激励时间历史和参数化结构损伤

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摘要

This paper presents and experimentally verifies an effective method for simultaneous identification of excitations and damages, which are two crucial factors in structural health monitoring and which often coexist in practice. The unknowns are identified by minimizing a time-domain square distance between the measured and the computed responses. Even though both damage and excitation are unknown, only damage parameters are treated here as the optimization variables: given the damage, the excitation is uniquely determined from the measured responses. As a result, all unknowns are of the same type, which allows standard optimization algorithms to be used and obviates the need for two-step procedures. The sensitivity analysis is facilitated by interpolating in each iteration the relation between structural responses and damage parameters. The numerical costs are further decreased by the fast reanalysis approach of the virtual distortion method (VDM), which is used to compute exact impulse responses of the damaged structure. The proposed methodology is verified both numerically (using a multi-span frame) and experimentally (using a cantilever beam). Stiffness-related damages and mass-related modifications are identified successfully together with the three tested types of external excitation.
机译：本文提出并通过实验验证了一种同时识别激励和损伤的有效方法，这是结构健康监测中的两个关键因素，并且在实践中经常并存。通过最小化测量响应与计算响应之间的时域平方距离来识别未知数。即使损坏和激励都是未知的，在这里也仅将损坏参数作为优化变量：给定损坏，根据测量的响应唯一确定激励。结果，所有未知数都属于同一类型，这允许使用标准的优化算法，并且不需要两步过程。通过在每次迭代中内插结构响应和损伤参数之间的关系，可以简化敏感性分析。虚拟变形方法（VDM）的快速重新分析方法可进一步降低数值成本，该方法用于计算受损结构的精确脉冲响应。所提出的方法在数值上（使用多跨框架）和实验上（使用悬臂梁）进行了验证。与三种测试类型的外部激励一起，可以成功地识别出与刚度相关的损伤和与质量相关的修改。

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