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Free vibration-based method for structural damage identification using multi-objective and multi-task strategy
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DOI：10.1016/j.istruc.2025.110448.png)
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Abstract
En 中文
Free vibration responses are a friendly source for structural damage identification (SDI) because they depend only on structural properties and initial conditions. Free vibration-based SDI methods can be classified as an output-only strategy when initial conditions are regarded as generalized forces; thereby, a basic framework of existing output-only approaches can further guide the innovation of free vibration-based methods. This paper aims to propose a novel output-only method for identifying structural local damages using free vibration responses. According to the basic idea of model updating, the proposed method introduces the theory of initial condition identification to reconstruct the structural responses, then formulates an objective function based on the discrepancy between the reconstructed and measured responses. Meanwhile, the modal parameters extracted from the measured free vibration responses, including natural frequencies and modal shapes, are employed to establish two additional objective functions. A sparse constraint is incorporated into the optimal equation to enforce damage locality in physical space. To simplify the SDI problem, this constraint is refined through a multi-task strategy using pre-segmentation of structural elements. Based on these, the SDI problem is mathematically formulated as a multi-objective optimization problem, and then simplified via a multi-task strategy. Taking the response-based objective function as the main one, a practical iterative algorithm is introduced for the solution; meanwhile, two modal parameter-based objective functions are used to assist in the selection of the final identified result. The feasibility and effectiveness of the proposed method are verified by using numerical simulations and experimental cases. Illustrated results indicate that the proposed method can estimate the locations and extents of the structural damages with good accuracy in the considered cases. Some related issues are discussed as well.
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