Abstract
This paper develops the 1 dimensional finite element rotating shaft model with a breathing crack which is concise and general purpose oriented model. The transition of open/closed conditions of a breathing crack is represented in terms of the deference of rotational displacements of both ends of the element at the crack position. Then, the variation of the area moment of inertia due to crack is represented by using the sigmoid function. The numerical simulation is performed for the various values of the depth of the crack, and the occurrence of the sub-resonance at the expected rotational speed are confirmed. Furthermore, the occurrence of each sub-resonance for the depth of the breathing crack are investigated and explained.
