本研究發展一套適用於建築土壤互制系統之損傷樓層偵測方法，分析結構系統受損前後位移頻率域反應函數之曲率差異，建立正規化樓層損傷指標。數值模擬以五層樓鋼筋混凝土結構為例，第一部分探討損傷指標在水平簡諧波作用下的偵測表現，並評估結構損傷程度、隨機雜訊強度以及土壤剪力波速之影響。第二部分驗證損傷指標在實際地震作用下之適用性，並分析取樣頻率間距對指標偵測表現之影響。同時，援引兩種現有採用頻率反應函數曲率的損傷指標作為比較，並應用接收者操作特徵(ROC)曲線分析，衡量各損傷指標之偵測能力。
　　研究結果顯示引用之兩種指標分別受雜訊影響甚鉅，且在重型建物置於軟弱土壤時之損傷偵測能力低落。相較之下，本文所建立之正規化樓層損傷指標能夠準確定位微損樓層，其偵測能力較不受雜訊影響，降低取樣頻率間距亦有助於偵測準確度。綜言之，本指標於固定基盤模式可展現穩定且準確之損傷偵測能力，且於建築土壤互制系統可有效考量土壤結構互制作用之影響。

　　This study develops a damage detection method for building-soil systems. A normalized damage indicator (NDI) utilizing frequency response functions is proposed to localize damaged stories in building structures. To evaluate the proposed damage indicator, a numerical example of a five-story RC building subjected to harmonic waves is investigated in this study. The influence of the random noise and the structural damage extent as well as soil shear velocity are examined. In addition, the new approach is further applied in the earthquake analysis. The ROC curve analysis is also implemented to qualify the detection performance of the damage indicators and two existing FRF-based damage indicators are employed for a comprehensive comparison.
　　The analyzed results show that the two existing damage indicators are significantly affected by the random noise with a rather low accuracy in detecting damage of heavy buildings situated on soft soil. In contrast, even though a high level of noise is considered, NDI is able to detect slightly damaged stories in the buildings with relatively high accuracy. The accuracy of this indicator may also be improved by shortening the frequency intervals. Furthermore, NDI has the best detection performance among all three indicators in fixed-base models; for building-soil systems, NDI shows its ability to incorporate the effects of soil-structure interaction efficiently.

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