Damage detection by the rank analysis of structural system matrix

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Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (15) : 126-130.

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Damage detection by the rank analysis of structural system matrix

Yang Qiuwei1, Zhou Weidong2, Liang Chaofeng1

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Abstract

The static-based damage identification methods have attracted much attention in the civil engineering field in recent years. A static rank analysis method is presented in the study for structural damage identification, which makes use of the static response data and the matrix rank analysis theory. First, the rank of the static displacement change due to damage is analyzed and then a limited rank solution of structural flexibility change is developed. With the flexibility change determined, the elemental damage parameters can be readily calculated by using the new flexibility perturbation method. As distinct from the existing detection techniques, the presented method can directly compute the damage parameters using the incomplete measured static data. The main advantage of using the static data rather than dynamic data is that the static equilibrium equation is solely related to the structural stiffness, and accurate static response data can be obtained rapidly and cheaply. Moreover, the proposed technique provides an insight to the appropriate number of the applied static loads for structural damage detection. The efficiency of the proposed method is demonstrated by a numerical example. The effect of measurement noise on damage detection performance of the proposed method is also investigated. The results show the good efficiency and stability of the proposed method on the identification of damage on more than one element. For the error-free case, the predicted results agree with the true solutions exactly. For the case with 3% and 10% noise, the prediction obtained is also reasonable.

Key words

damage detection / rank analysis / flexibility perturbation / static test

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Yang Qiuwei;Zhou Weidong;Liang Chaofeng. Damage detection by the rank analysis of structural system matrix[J]. Journal of Vibration and Shock, 2014, 33(15): 126-130