Abstract
The components of machines very often present defects that can grow to fatigue cracks when they are submitted to the working solicitations. In the case of shaft,this is particularly important because the catastrophic failures can lead to personal injuries or economic problems. When a cracked shaft rotates, the breathing mechanism appears. The crack opens and closes passing from the open state to the close state with a transition that produces a partial opening. The shafts present additionally misalignments or/and unbalances that alter their normal function. In this paper, we present a Finite Element Method (FEM) study of the influence of the eccentricity in the breathing mechanism of a rotating cracked shaft. The classical Jeffcott rotor model has been chosen for this study. To simulate the rotation of the shaft, different angular positions have been considered. The Stress Intensity Factor (SIF) along the crack front during the rotation has been studied considering different angles of eccentricity. The work allows to know the influence of the unbalance of rotating shafts in the crack breathing mechanism, in the values of the Stress Intensity Factor and in the propagation of cracks.
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Dimarogonas, A.D., Papadopoulos, C.A.: Vibration of cracked shafts in bending. Journal of Sound and Vibration 91, 583–593 (1983)
Darpe, A.K., Gupta, K., Chawla, A.: Transient response and breathing behaviour of a cracked Jeffcott rotor. Journal of Sound and Vibration 272, 207–243 (2004)
Bachschmid, N., Pennacchi, P., Tanzi, E.: Some remarks on breathing mechanism, on non-linear effects and on slant and helicoidal cracks. Mechanical Systems and Signal Processing 22, 879–904 (2008)
Sekhar, A.S., Prabhu, B.S.: Condition monitoring of crecked rotors throeugh transient response. Mechanism and Machine Theory 33(8), 1167–1275 (1998)
Patel, T.H., Darpe, A.K.: Influence of crack breathing model on nonlinear dynamics of a cracked rotor. Journal of Sound and Vibration 311, 1953–1972 (2008)
Cheng, L., Li, N., Chen, X.F., He, Z.J.: The influence of crack breathing and imbalance orientation angle on the characteristics of the critical speed of a cracked rotor. Journal of Sound and Vibration 330, 2031–2048 (2011)
Rubio, L., Fernández-Sáez, J.: A new efficient procedure to solve the nonlinear dynamics of a cracked rotor. Nonlinear Dynamics 70, 1731–1745 (2012)
Darpe, A.K., Gupta, K., Chawla, A.: Dynamics of a bowed rotor with a transverse surface crack. Journal of Sound and Vibration 296, 888–907 (2006)
Darpe, A.K.: A novel way to detect trasnverse surface crack in a rotating shaft. Journal of Sound and Vibration 305, 151–171 (2007)
Jun, O.S., Gadala, M.S.: Dynamic behavior analysis of cracked rotor. Journal of Sound and Vibration 309, 210–245 (2008)
Penny, J.E.T., Friswell, M.I.: Simplified modelling of rotor cracks. In: Proceedings of ISMA: International Conference on Noise and Vibration Engineering, vol. 2, pp. 607–615 (2002)
Rubio, L., Muñoz-Abella, B., Rubio, P., Montero, L.: Influence of the eccentricity in the crack breathing in a rotating shaft. In: Proceedings of ECT 2012: International Conference on Engineering Computational Technology (2012)
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Muñoz-Abella, B., Rubio, L., Rubio, P. (2014). Study of the Stress Intensity Factor of an Unbalanced Rotating Cracked Shaft. In: Petuya, V., Pinto, C., Lovasz, EC. (eds) New Advances in Mechanisms, Transmissions and Applications. Mechanisms and Machine Science, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7485-8_49
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DOI: https://doi.org/10.1007/978-94-007-7485-8_49
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-7484-1
Online ISBN: 978-94-007-7485-8
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