Abstract
The parametric instability of a rotor-bearing system with coupling faults of crack and rub-impact under nonlinear oil-film force is studied in this paper. A model considering time-varying crack stiffness, rub-impact force and nonlinear oil-film force is put forward to analyze the complicated nonlinear behaviors of the rotor-bearing system. The numerical simulation focuses on the effects of crack depth and the stator stiffness on the onset of instability and nonlinear responses of the rotor-bearing system by using bifurcation diagrams, Poincaré maps, largest Lyapunov exponent and frequency spectrum. The multiple periodic, quasiperiodic and chaotic motions are observed in this study. The results indicate that crack depth and stator stiffness have influences on the vibration and instability of the rotor-bearing system with varied rotating speed. The motion of the system with coupling faults shows strong nonlinearity and instability in high speed region. Moreover, crack depth and stator stiffness interfere with the formation of oil whirl, thus, making the oil whirl appear later. There also exists interaction among coupling multiple faults. The research discloses the worthy energy exchange phenomenon of multi-fault system and is helpful for fault diagnosis and vibration control of real rotor-bearing systems.
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Dimarogonas, A.D.: Vibration of cracked structures: a state of art review. Eng. Fract. Mech. 55, 831–857 (1996)
Gash, R.: A survey of the dynamic behavior of a simple rotating shaft with a transverse crack. J. Sound Vib. 160, 313–332 (1993)
Jun, O.S., Eun, H.J., Earmme, Y.Y., Lee, C.W.: Modelling and vibration analysis of a simple rotor with breathing crack. J. Sound Vib. 155, 273–290 (1992)
Sekhar, A.S., Prabhu, B.S.: Transient analysis of a cracked rotor passing through critical speed. J. Sound Vib. 173, 415–421 (1994)
Sinou, J.J., Lees, A.W.: The influence of cracks in rotating shafts. J. Sound Vib. 285, 1015–1037 (2005)
Chan, R.K., Lai, T.C.: Digital simulation of a rotating shaft with a transverse crack. Appl. Math. Model. 19, 411–420 (1995)
Darpe, A.K., Gupta, K., Chawla, A.: Dynamics of a two-cracked rotor. J. Sound Vib. 259, 649–675 (2003)
Darpe, A.K., Gupta, K., Chawla, A.: Dynamics of a bowed rotor with a transverse surface crack. J. Sound Vib. 296, 888–90 (2006)
Guang, M.: The nonlinear influences of whirl speed on the stability and response of a cracked rotor. J. Mach. Vib. 6, 216–230 (1992)
Gounaris, G.D., Papadopoulos, C.A.: Crack identification in rotating shafts by coupled response measurements. Eng. Fract. Mech. 69, 339–352 (2002)
Muszynska, A.: Rotor-to-stationary element rub-related vibration phenomena in rotating machinery literature survey. Shock Vib. Dig. 21, 3–11 (1989)
Chu, F., Zhang, Z.: Bifurcation and chaos in rub-impact Jeffcott rotor system. J. Sound Vib. 210, 1–18 (1998)
Goldman, P., Muszynska, A.: Chaotic behavior of rotor/stator systems with rubs. J. Eng. Gas Turbines Power 116, 692–701 (1994)
Abu-Mahfouz, Issam, Banerjee, Amit: On the investigation of nonlinear dynamics of a rotor with rub-impact using numerical analysis and evolutionary algorithms. Procedia Comput. Sci. 20, 140–147 (2013)
Liu, L., Cao, D.Q., Sun, S.P.: Dynamic characteristics of a disk-drum-shaft rotor system with rub-impact. Nonlinear Dyn. 80, 1017–1038 (2015)
Lahriri, S., Santos, I.F.: Theoretical modelling, analysis and validation of the shaft motion and dynamic forces during rotor–stator contact. J. Sound Vib. 332, 6359–6376 (2013)
Chang-Jian, C.-W., Chen, C.-K.: Couple stress fluid improve rub-impact rotor-bearing system—nonlinear dynamic analysis. Appl. Math. Model. 34, 1763–1778 (2010)
Shen, X.Y., Jia, J.H., Zhao, M.: Experimental and numerical analysis of nonlinear dynamics of rotor-bearing-seal system. Nonlinear Dyn. 53, 31–44 (1996)
Wan, F., Xu, Q., Li, S.: Vibration analysis of cracked rotor sliding bearing system with rotor–stator rubbing by harmonic wavelet transform. J. Sound Vib. 271, 507–518 (2004)
Ren, Z., Zhou, S., Li, C., Wen, B.: Dynamic characteristics of multi-degrees of freedom system rotor-bearing system with coupling faults of rub-impact and crack. Chin. J. Mech. Eng. 27, 785–792 (2014)
Adiletta, G., Guido, A.R., Rossi, C.: Chaotic motions of a rigid rotor in short journal bearings. Nonlinear Dyn. 10, 251–269 (1996)
Aijun, Hu, Yan, Xiaoan, Xiang, Ling: Dynamic simulation and experimental study of an asymmetric double-disc rotor-bearing system with rub-impact and oil-film instability. Nonlinear Dyn. 84, 641–659 (2016)
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This work is supported by the National Natural Science Foundation of China (No. 51475164) and Natural Science Foundation of Hebei Province (E2013502226).
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Xiang, L., Gao, X. & Hu, A. Nonlinear dynamics of an asymmetric rotor-bearing system with coupling faults of crack and rub-impact under oil-film forces. Nonlinear Dyn 86, 1057–1067 (2016). https://doi.org/10.1007/s11071-016-2946-3
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DOI: https://doi.org/10.1007/s11071-016-2946-3