Abstract
A general model of a rub-impact rotor system is set up and supported by oil film journal bearings. The Jacobian matrix of the system response is used to calculate the Floquet multipliers, and the stability of periodic response is determined via the Floquet theory. The nonlinear dynamic characteristics of the system are investigated when the rotating speed and damping ratio is used as control parameter. The analysis methods are inclusive of bifurcation diagrams, Poincaré maps, phase plane portraits, power spectrums, and vibration responses of the rotor center and bearing center. The analysis reveals a complex dynamic behavior comprising periodic, multi-periodic, chaotic, and quasi-periodic response. The modeling results thus obtained by using the proposed method will contribute to understanding and controlling of the nonlinear dynamic behaviors of the rotor-bearing system.
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References
Ehrich F.F.: Some observations of chaotic vibration phenomena in high-speed rotor dynamics. J. Vib. Acoust. 113(1), 50–57 (1991)
Li G.X., Paidoussis M.P.: Impact phenomena of rotor-casing dynamical-systems. Nonlinear Dyn. 5(1), 53–70 (1994)
Muszynska A., Goldman P.: Chaotic responses of unbalanced rotor/bearing/stator systems with looseness rubs. Chaos Solitons Fractals 5(9), 1683–1704 (1995)
Adiletta G., Guido A.R., Rossi C.: Nonlinear dynamics of a rigid unbalanced rotor in journal bearings. 1. Theoretical analysis. Nonlinear Dyn. 14(1), 57–87 (1997)
Chu F., Zhang Z.: Bifurcation and chaos in a rub-impact Jeffcott rotor system. J. Sound Vib. 210(1), 1–18 (1998)
Dai X., Jin Z., Zhang X.: Dynamic behavior of the full rotor rubbing: numerical simulation and experimental verification. J. Sound Vib. 251(5), 807–822 (2002)
Lu Q.S., Li Q.H., Twizell E.H.: The existence of periodic motions in rub-impact rotor systems. J. Sound Vib. 264(5), 1127–1137 (2003)
Chu F.L., Lu W.X.: Experimental observation of nonlinear vibrations in a rub-impact rotor system. J. Sound Vib. 283(3–5), 621–643 (2005)
Luo Y.G., Ren Z.H., Ma H., Yu T., Wen B.C.: Stability of periodic motion on the rotor-bearing system with coupling faults of crack and rub-impact. J. Mech. Sci. Technol. 21(6), 860–864 (2007)
Shen X.Y., Jia J.H., Zhao M.: Nonlinear analysis of a rub-impact rotor-bearing system with initial permanent rotor bow. Arch. Appl. Mech. 78(3), 225–240 (2008)
Yuan Z.W., Wang S.B., Yue X.M., Li Z.N., Chu F.L.: Dynamic analysis of rotor’s radial rub-impact in full degrees of freedom accounting for turborotor’s non-linear clearance-excitation force, Proceedings of the Institution of Mechanical Engineers, Part C. J. Mech. Eng. Sci. 222(C9), 1647–1653 (2008)
Zhang W.M., Meng G., Chen D., Zhou J.B., Chen J.Y.: Nonlinear dynamics of a rub-impact micro-rotor system with scale-dependent friction model. J. Sound Vib. 309(3–5), 756–777 (2008)
Chang-Jian C.W., Chen C.K.: Nonlinear analysis of a rub-impact rotor supported by turbulent couple stress fluid film journal bearings under quadratic damping. Nonlinear Dyn. 56(3), 297–314 (2009)
Chang-Jian C.W., Chen C.K.: Couple stress fluid improve rub-impact rotor-bearing system—nonlinear dynamic analysis. Appl. Math. Model. 34(7), 1763–1778 (2010)
Wang C.C.: Bifurcation and nonlinear analysis of a flexible rotor supported by a relative short spherical gas bearing system. Commun. Nonlinear Sci. Numer. Simul. 15(9), 2659–2671 (2010)
Khanlo H.M., Ghayour M., Ziaei-Rad S.: Chaotic vibration analysis of rotating flexible continuous shaft-disk system with a rub-impact between the disk and the stator. Commun. Nonlinear Sci. Numer. Simul. 16(1), 566–582 (2011)
Adiletta G., Guido A.R., Rossi C.: Chaotic motions of a rigid rotor in short journal bearings. Nonlinear Dyn. 10(6), 251–269 (1996)
Han Q.K., Zhang Z.W., Liu C.L., Wen B.C.: Periodic motion stability of a dual-disk rotor system with rub-impact at fixed limiter. Vibro-Impact Dyn. Ocean Syst. Rel. Probl. 44, 105–119 (2009)
Lu Y.J., Liu H., Dai R., Zhang Y.F., Yu L., Yu Y.B.: A method for determining the periodic solution and its stability of non-linear bearing-rotor system based on observed states of the system. Proc. Inst. Mech. Eng. Part J: J. Eng. Tribol. 223, 137–149 (2009)
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Wang, J., Zhou, J., Dong, D. et al. Nonlinear dynamic analysis of a rub-impact rotor supported by oil film bearings. Arch Appl Mech 83, 413–430 (2013). https://doi.org/10.1007/s00419-012-0688-3
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DOI: https://doi.org/10.1007/s00419-012-0688-3