Abstract
Last few decades, the crack identification in a structure is the most important problem in securing safety. In this paper, a method for determination of the location and the depth of a transverse surface crack in beams with rectangular cross section is proposed. Formulating the identification as an inverse problem, we have employed both a response surface method and changes in natural frequencies. In the analysis, the crack is simulated by an equivalent rotational spring, connecting the two segments of the beam. Analysis of this approximate model leads to a frequency equation which relates the natural frequencies to the crack location and the depth. Identification of the crack location and the depth is formulated to minimizing an evaluation function, square sum of frequency residuals. The simulated results indicate that the proposed method is valid and practical.
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