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Stability of a Flexible Rotor-Bearing System with a Transverse Crack

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Abstract

The aim of this paper is to analyze the stability of a Jeffcott rotor with an offset disk rotor system with a crack. The theory of fracture mechanics has been used to simulate a Jeffcott model for rotor shafts with crack with changing the crack depths. The eccentricity ratio has been found from the modified Sommerfeld number with the help of the iteration method using the computer program of MATLAB. The effect of changing speeds on the dynamic parameters of journal bearings (stiffness and damping) and its effect on Sommerfeld number has been investigated. The relation between threshold speed and the Sommerfeld number has been gained. The results have been obtained analytically using MATLAB. The results show that the crack depth up to 0.8R has no effect on the stability. If the crack depth reaches to R-value the unstable region has high increasing while the stable zoon will decrease when the flexibility reduced 40% which will effect on the stability of rotors.

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Correspondence to Bahrami Mohammad Reza .

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Ahmed, A.S., Reza, B.M., Farij, T.J. (2019). Stability of a Flexible Rotor-Bearing System with a Transverse Crack. In: Uhl, T. (eds) Advances in Mechanism and Machine Science. IFToMM WC 2019. Mechanisms and Machine Science, vol 73. Springer, Cham. https://doi.org/10.1007/978-3-030-20131-9_332

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