Undetected cracking of rotating shafts can lead to catastrophic failure of turbomachinery. This paper investigated the dynamic response of rotor-bearing systems containing transverse cracks with a finite element approach. The breathing effect of cracks was analyzed based on the whirling conditions of the rotor, and different crack models were posed for different rotating speeds. The strain energy released due to the cracks was calculated. Then, the finite element for the shaft portion containing cracks was formulated and incorporated into the system matrices of the rotor-bearing system.

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