Abstract

If a crack exists in a mechanical structure, it may cause a serious accident. To prevent the accident, the early crack detection is crucially important. In this paper, a method for determination of the location and the depth of a transverse surface crack in a shaft is proposed. The study, which is treated as an inverse problem, was performed using both a response surface method and changes in natural frequencies. The natural frequencies are then represented as functions of the crack location and the crack depth. Using these functions, identification of the crack location and the crack 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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