Development of the identification method of both the depth and position of the breathing crack in the rotating shaft

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This study developed and improved the concise, accurate and general purpose oriented finite element model of an open crack in the rotating shaft. Two models of the open crack were developed, and the determining methods of the parameters involved in these crack models are discussed and proposed, and it is verified by investigating the natural frequencies in both static and rotating conditions experimentally. Furthermore, the theoretical analysis of the double-frequency vibration due to crack is performed. Both the theoretical and the experimental resonance curves of the double-frequency vibration are compared, and their quantitative agreement is confirmed. As the result, the accuracy of the developed crack model of the rotating shaft and the validity of the theoretical analysis are clarified. The information of both the depth and position of the open crack can be obtained by using these analyses inversely. Finally, the modeling of the breathing crack was performed, and the numerical simulation code for the simple FEM cracked rotor model was developed.