“…In recent years, significant efforts have been published in the area of non-destructive damage evaluation for damage identification in structures [22][23][24][25][26][27][28][29][30]. These methods are based on the fact that local damages usually cause decrease in the structure stiffness, which produces the change in vibration characteristics (such as natural frequencies, mode shapes and curvature mode shapes) of the structure.…”
“…In recent years, significant efforts have been published in the area of non-destructive damage evaluation for damage identification in structures [22][23][24][25][26][27][28][29][30]. These methods are based on the fact that local damages usually cause decrease in the structure stiffness, which produces the change in vibration characteristics (such as natural frequencies, mode shapes and curvature mode shapes) of the structure.…”
“…Because three FRF measurement points are chosen for the present example case (see Figure 4), three excitation frequencies are used to obtain a total of nine equations for the nine "nite elements model at the "rst iteration (see Figure 5(a))*similarly, nine and 27 excitation frequencies for the 27 and 81 "nite elements models at the second and third iterations (see Figures 5(b) and 5(c)) respectively. How to choose those excitation frequency points may play an important role for the successful damage identi"cation, which was discussed by the present authors in their previous work [19]. In the authors' experiences, it is recommended to choose the excitation frequency points near the resonance peaks in the low-frequency range.…”
“…Thus they can be falsified by measurement errors and modal extraction faults. Further, the completeness of modal data can not be guaranteed in most practical applications because a large number of sensors is required (Lee & Shin, 2001). One approach to detecting the damage locations on complex structures using directly measured frequency-domain response functions is based on the Transmissibility Function (TF) (Siebel & Mayer, 2011).…”
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