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<p>Transmissibility function (TF) based structural damage detection (SDD) has attracted increasing attention in recent decades. However, some existing TF-based SDD methods only establish approximate relationships between damage indicators and damage with the aid of sensitivity analysis. Consequently, the corresponding SDD results are often inaccurate due to the influence of measurement noise on structural responses. This study attempts to propose a novel SDD method by establishing an analytical relationship between TFs and damages without using sensitivity analysis. First, structural damage is simplified as a loss of structural stiffness while accounting for the effect of structural damping. An accurate relationship between TFs and loss of element stiffness is then deduced. Sparse regularization is introduced to improve the SDD accuracy based on the sparsity of damages. As a result, structural damages can be identified directly from TFs using the proposed method. To evaluate the effectiveness of the proposed method, both numerical simulations and experimental verification are conducted. The SDD results show that the proposed method can identify both damage locations and degrees based on TFs with great accuracy and high robustness. In addition, the proposed method is flexible because only a few TFs at given frequency points are needed.</p>

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A novel transmissibility-based formulation with sparse regularization for structural damage detection in damped structures

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月22日

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  • Ziwei Luo,
  • Wenying Xiong,
  • Wei-Ling Hsu

摘要

Transmissibility function (TF) based structural damage detection (SDD) has attracted increasing attention in recent decades. However, some existing TF-based SDD methods only establish approximate relationships between damage indicators and damage with the aid of sensitivity analysis. Consequently, the corresponding SDD results are often inaccurate due to the influence of measurement noise on structural responses. This study attempts to propose a novel SDD method by establishing an analytical relationship between TFs and damages without using sensitivity analysis. First, structural damage is simplified as a loss of structural stiffness while accounting for the effect of structural damping. An accurate relationship between TFs and loss of element stiffness is then deduced. Sparse regularization is introduced to improve the SDD accuracy based on the sparsity of damages. As a result, structural damages can be identified directly from TFs using the proposed method. To evaluate the effectiveness of the proposed method, both numerical simulations and experimental verification are conducted. The SDD results show that the proposed method can identify both damage locations and degrees based on TFs with great accuracy and high robustness. In addition, the proposed method is flexible because only a few TFs at given frequency points are needed.