Abstract
In order to study the dual-rotor system’s rubbing fault, a new dynamic model is established. The unbalance and the rubbing faults are modeled, respectively. Considering the softening characteristics of casing, the Lankarani–Nikravesh model is utilized to describe the impact force between the disk and fixed limiter. The numerical integral method is applied to obtain system’s dynamic behavior, and the characteristics of the rubbing faults are analyzed by time-domain waveform, 3D waterfall plot and spectrum cascades. The influences of rotational speed ratio, initial clearance, mass eccentricity and inter-shaft bearing stiffness on the dynamic characteristics are investigated. The vibration displacement of the low-pressure rotor is collected from the impact experiment performed on a dual-rotor test rig. The analysis result of simulation is identical with the experiment result. Consequently, this method can be used to study characteristics of rubbing faults of dual-rotor bearing system efficiently.
Similar content being viewed by others
References
Varney, P., Green, I.: Nonlinear phenomena, bifurcations, and routes to chaos in an asymmetrically supported rotor–stator contact system. J. Sound Vib. 336(336), 207–226 (2015)
Muszynska, A., Goldman, P.: Chaotic responses of unbalanced rotor/bearing/stator systems with looseness or rubs. Chaos Solitons Fractals 5(9), 1683–1704 (1995)
Muszynska, A.: Rotor-to-stationary element rub-related vibration phenomena in rotating machinery—literature suryey. Shock Vib. Digest 21(3), 3–11 (1989)
Jiang, J., Ulbrich, H.: Stability analysis of sliding whirl in a nonlinear jeffcott rotor with cross-coupling stiffness coefficients. Nonlinear Dyn. 24(3), 269–283 (2001)
Choi, Y.S.: Investigation on the whirling motion of full annular rotor rub. J. Sound Vib. 258(1), 191–198 (2002)
Ma, H., Zhao, Q., Zhao, X., et al.: Dynamic characteristics analysis of a rotor–stator system under different rubbing forms. Appl. Math. Model. 39(8), 2392–2408 (2015)
Zhang, W.M., Meng, G., Chen, D., et al.: Nonlinear dynamics of a rub-impact micro-rotor system with scale-dependent friction model. J. Sound Vib. 309(3–5), 756–777 (2008)
Grāpis, O., Tamužs, V., Ohlson, N.-G., et al.: Overcritical high-speed rotor systems, full annular rub and accident. J. Sound Vib. 290(3–5), 910–927 (2006)
Han, Q., Zhang, Z., Wen, B.: Periodic motions of a dual-disk rotor system with rub-impact at fixed limiter. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 222, 1935–46 (2008)
Hua, C., Rao, Z., Na, T., et al.: Nonlinear dynamics of rub-impact on a rotor-rubber bearing system with the Stribeck friction model. J. Mech. Sci. Technol. 29(8), 3109–3119 (2015)
Ma, H., Shi, C., Han, Q., et al.: Fixed-point rubbing fault characteristic analysis of a rotor system based on contact theory. Mech. Syst. Signal Process. 38(1), 137–153 (2013)
Ma, H., Wu, Z., Tai, X., et al.: Dynamic characteristics analysis of a rotor system with two types of limiters. Int. J. Mech. Sci. 88, 192–201 (2014)
Wang, N., Jiang, D., Yang, Y., et al.: Study on the diagnosis of rub-impact fault based on finite element method and envelope demodulation. J. Vibroeng. 18(7), 4500–4512 (2016)
Wang, N.F., Jiang, D.X., Han, T.: Dynamic characteristics of rotor system and rub-impact fault feature research based on casing acceleration. J. Vibroeng. 18(3), 1525–1539 (2016)
Tai, X., Ma, H., Liu, F., et al.: Stability and steady-state response analysis of a single rub-impact rotor system. Arch. Appl. Mech. 85(1), 133–148 (2015)
Roques, S., Legrand, M., Cartraud, P., et al.: Modeling of a rotor speed transient response with radial rubbing. J. Sound Vib. 329(5), 527–546 (2010)
Popprath, S., Ecker, H.: Nonlinear dynamics of a rotor contacting an elastically suspended stator. J. Sound Vib. 308(3–5), 767–784 (2007)
Yuan, Z., Chu, F., Wang, S., et al.: Influence of rotor’s radial rub-impact on imbalance responses. Mech. Mach. Theory 42(12), 1663–1667 (2007)
Lu, W., Chu, F.: Radial and torsional vibration characteristics of a rub rotor. Nonlinear Dyn. 76(1), 529–549 (2014)
Thouverez, F., et al.: Experimental and numerical investigations of a dual-shaft test rig with inter-shaft bearing. Int. J. Rotat. Mach. 128(2), 308–21 (2007)
Ferraris, G., Maisonneuve, V., Lalanne, M.: Prediction of the dynamic behaviour of non-symmetrical coaxial co- or counter-rotating rotors. J. Sound Vib. 195(4), 649–666 (1996)
Childs, D.W.: A modal transient rotor-dynamic model for dual-rotor jet engine systems. J. Manuf. Sci. Eng. 98(3), 876–882 (1975)
Sun, C., Chen, Y., Hou, L.: Steady-state response characteristics of a dual-rotor system induced by rub-impact. Nonlinear Dyn. 86(1), 1–15 (2016)
Yang, Y., Cao, D., Yu, T., et al.: Prediction of dynamic characteristics of a dual-rotor system with fixed point rubbing—theoretical analysis and experimental study. Int. J. Mech. Sci. 115, 253–261 (2016)
Yang, Y., Cao, D., Wang, D., et al.: Fixed-point rubbing characteristic analysis of a dual-rotor system based on the Lankarani–Nikravesh model. Mech. Mach. Theory 103, 202–221 (2016)
Wang, N., Xu, H., Jiang, D.: Dynamic model and fault feature research of dual-rotor system with bearing pedestal looseness. Math. Probl. Eng. 2016(2), 1–18 (2016)
Xu, H., Wang, N., Jiang, D., et al.: Dynamic characteristics and experimental research of dual-rotor system with rub-impact fault. Shock Vib. 2016(3), 1–11 (2016)
Gilardi, G., Sharf, I.: Literature survey of contact dynamics modelling. Mech. Mach. Theory 37(10), 1213–1239 (2002)
Gleeson, B.: Thermal barrier coatings for aeroengine applications. J. Propuls. Power 22(2), 375–383 (2006)
Cao, D., Yang, Y., Chen, H., et al.: A novel contact force model for the impact analysis of structures with coating and its experimental verification. Mech. Syst. Signal Process. 35(175), 61–69 (2015)
Lankarani, H.M., Nikravesh, P.E.: A contact force model with hysteresis damping for impact analysis of multibody systems. J. Mech. Des. 112(3), 369–376 (1990)
Chen, G.: A new rotor-ball bearing-stator coupling dynamics model for whole aero-engine vibration. J. Vib. Acoust. 131(6), 1980–1998 (2009)
Acknowledgements
The authors would like to acknowledge the supports from the National Natural Science Foundations of China (No. 11572167). The authors are also grateful to the anonymous reviewers for their valuable comments.
Author information
Authors and Affiliations
Ethics declarations
Conflict of interest
There is no conflict of interests in regard to publish of the paper.
Rights and permissions
About this article
Cite this article
Wang, N., Jiang, D. & Behdinan, K. Vibration response analysis of rubbing faults on a dual-rotor bearing system. Arch Appl Mech 87, 1891–1907 (2017). https://doi.org/10.1007/s00419-017-1299-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00419-017-1299-9