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利用模態殘餘力法之二階段結構損傷分析

Structural Damage Detection Using the Two-step Modal Residual Force Method

摘要


本研究針對在振動反應量測模態數不完整與雜訊影響的情況下,利用系統識別理論配合二階段損傷偵測法進行結構損傷偵測分析。在第一階段進行損傷位置標定,吾人提出「模態殘餘力均方值」指標,以改進一般之模態殘餘力法使能更有效地標定損傷位置。第二階段進行損傷程度評估,針對可能損傷的元素分別利用最小平方差法與全域最佳化方法估測其損傷程度。數值模擬分析結果顯示,本文所提出的結構損傷偵測分析法於模態數不完整與含雜訊的情況下仍具有良好的精確性與強健性。

並列摘要


In this paper, structural damage detection analysis is studied with consideration of incomplete modal data under the noisy conditions. In the process of damage detection, a two-step method in combination with system identification technique is employed. In the first step, we proposed a modification to the conventional modal residual force method, so that possibly damaged elements in a structure can be located more reliably. In the second step, the damage extent of possibly damaged elements is then evaluated using the least-squares method and a global optimization method, respectively. Numerical simulation results show that the proposed method is accurate and robust using incomplete modal data under noisy conditions.

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