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Dynamic performance of a rotor system with an initial bow and coupling faults of imbalance-rub during whirling motion

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Abstract

The dynamic characteristics of a rotor system with an initial bow and coupling fault of imbalance-rub are investigated in this work. The geometrical nonlinearity of shafts becomes significant due to the large-amplitude whirling motion. Then, the influences of the initial bow and geometrical nonlinearity on the natural frequencies corresponding to the linear part of the rotor system are studied. Moreover, the coupling faults of imbalance-rub are introduced to the rotor system. Complicated nonlinear phenomena are revealed by bifurcation diagrams, time histories, Poincaré sections, and spectra. The influences of several key design parameters, such as initial bow, shaft radius, and casing stiffness, are analyzed. One of the main findings of this investigation is that when initial bow and geometrical nonlinearity coexist in a system, the resonance characteristics are obviously affected by the initial bow’s degree. This coexistence can result in the jump phenomenon, which rapidly increases the amplitude of whirling motion. These findings are useful in the fault diagnosis and feature recognition of rotating machines.

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References

  1. Z. C. Sun, J. X. Xu and T. Zhou, Analysis on complicated characteristics of a high-speed rotor system with rub-impact, Mechanism and Machine Theory, 37 (2002) 659–672.

    Article  Google Scholar 

  2. G. Chen, A new rotor-ball bearing-stator coupling dynamics model for whole aero-engine vibration, Journal of Vibration and Acoustics, 131 (6) (2009) 061009 1–9.

    Google Scholar 

  3. P. Varney and I. Green, Nonlinear phenomena, bifurcations, and routes to chaos in an asymmetrically supported rotorstator contact systems, Journal of Sound and Vibration, 336 (2015) 207–226.

    Article  Google Scholar 

  4. J. Cao, C. Ma, Z. Jiang and S. Liu, Nonlinear dynamic analysis of fractional order rub-impact rotor system, Communications in Nonlinear Science and Numerical Simulation, 16 (2011) 1443–1463.

    Article  Google Scholar 

  5. F. Lin, M. P. Schoen and U. A. Korde, Numerical investigation with rub-related vibration in rotating machinery, Journal of Vibration and Control, 7 (2001) 833–848.

    Article  Google Scholar 

  6. F. Chu and W. Lu, Determination of the rubbing location in a multi-disk rotor system by means of dynamic stiffness identification, Journal of Sound and Vibration, 248 (2001) 235–246.

    Article  Google Scholar 

  7. B. O. Al-Bedoor, Transient torsional and lateral vibrations of unbalanced rotors with rotor-to-stator rubbing, Journal of Sound and Vibration, 229 (2000) 627–645.

    Article  Google Scholar 

  8. W. Qin, G. Chen and G. Meng, Nonlinear responses of a rub-impact overhung rotor, Chaos, Solitons & Fractals, 19 (2004) 1161–1172.

    Article  Google Scholar 

  9. T. Yong-Wei and Y. Jiang-Gang, Research on vibration induced by the coupled heat and force due to rotor-to-stator rub, Journal of Vibration and Control, 17 (2010) 549–566.

    Article  MathSciNet  Google Scholar 

  10. P. Goldman and A. Muszynska, Rotor-to-stator, rub-related, thermal/mechanical effects in rotating machinery, Chaos, Solitons & Fractals, 5 (9) (1995) 1579–1601.

    Article  Google Scholar 

  11. G. Gilardi and I. Sharf, Literature survey of contact dynamics modeling, Mechanism and Machine Theory, 37 (2002) 1213–1239.

    Article  MathSciNet  Google Scholar 

  12. T. N. Rhys-Jones, Thermally sprayed coating systems for surface protection and clearance control applications in aero engines, Surface and Coatings Technology, 43–44 (1990) 402–415.

    Article  Google Scholar 

  13. A. Batailly, M. Legrand and A. Millecamps, Numerical-experimental comparison in the simulation of rotor/stator interaction through blade-tip/abradable coating contact, Journal of Engineering for Gas Turbines and Power, 134 (2012) 082504 1–11.

    Article  Google Scholar 

  14. C. Padova, M. G. Dunn, J. Barton, K. Turner, A. Turner and D. DiTommaso, Casing treatment and blade-tip configuration effects on controlled gas turbine blade tip/shroud rubs at engine conditions, Journal of Turbomachinery, 133 (2011) 011016 1–12.

    Article  Google Scholar 

  15. M. Z. Yi, J. W. He, B. Y. Huang and H. J. Zhou, Friction and wear behaviour and abradability of abradable seal coating, Wear, 231 (1) (1999) 47–53.

    Article  Google Scholar 

  16. F. Chu and Z. Zhang, Bifurcation and chaos in rub-impact Jeffcott rotor system, Journal of Sound and Vibration, 210 (1998) 1–18.

    Article  Google Scholar 

  17. W. M. Zhang and G. Meng, Stability, bifurcation and chaos of a high-speed rub-impact rotor system in MEMS, Sensors and Actuators A: Physical, 127 (1) (2006) 163–178.

    Article  Google Scholar 

  18. Z. W. Yuan, F. L. Chu, S. B. Wang and X. M. Yue, Influence of rotor’s radial rub-impact on imbalance responses, Mechanism and Machine Theory, 42 (12) (2007) 1663–1667.

    Article  Google Scholar 

  19. H. Ma, C. Y. Shi, Q. K. Han and B. C. Wen, Fixed-point rubbing fault characteristic analysis of a rotor system based on contact theory, Mechanical Systems and Signal Processing, 38 (1) (2013) 137–153.

    Article  Google Scholar 

  20. H. Ma, Q. B. Zhao, X. Y. Zhao, Q. K. Han and B. C. Wen, Dynamic characteristics analysis of a rotor-stator system under different rubbing forms, Applied Mathematical Modeling, 39 (8) (2015) 2392–2408.

    Article  Google Scholar 

  21. T. H. Patel, M. J. Zuo and X. M. Zhao, Nonlinear lateral-torsional coupled motion of a rotor contacting a viscoelastically suspended stator, Nonlinear Dynamics, 69 (2012) 325–339.

    Article  Google Scholar 

  22. N. Vlajic, X. B. Liu, H. Karki and B. Balachandran, Torsional oscillations of a rotor with continuous stator contact, International Journal of Mechanical Sciences, 83 (2014) 65–75.

    Article  Google Scholar 

  23. J. Taghipour, M. Dardel and M. H. Pashaei, Vibration mitigation of a nonlinear rotor system with linear and nonlinear vibration absorbers, Mechanism and Machine Theory, 128 (2018) 586–615.

    Article  Google Scholar 

  24. J. Hong, P. C. Yu, D. Y. Zhang and Y. H. Ma, Nonlinear dynamic analysis using the complex nonlinear modes for a rotor system with an additional constraint due to rub-impact, Mechanical Systems and Signal Processing, 116 (2019) 443–461.

    Article  Google Scholar 

  25. M. Torkhani, L. Mary and P. Voinis, Light, medium and heavy partial rubs during speed transients of rotating machines: numerical simulation and experimental observation, Mechanical Systems and Signal Processing, 29 (2012) 45–66.

    Article  Google Scholar 

  26. S. Lahriri, H. I. Weber, I. F. Santos and H. Hartmann, Rotor-stator contact dynamics using a non-ideal drive-Theoretical and experimental aspects, Journal of Sound and Vibration, 331 (20) (2012) 4518–4536.

    Article  Google Scholar 

  27. S. Edwards, A. Lees and M. Friswell, The influence of torsional on rotor/stator contact in rotating machinery, Journal of Sound and Vibration, 225 (1999) 767–778.

    Article  Google Scholar 

  28. Z. Y. Qin, X. J. Pang, B. Safaei and F. L. Chu, Free vibration analysis of rotating functionally graded CNT reinforced composite cylindrical shells with arbitrary boundary conditions, Composite Structures, 220 (2019) 847–860.

    Article  Google Scholar 

  29. Z. Y. Qin, F. L. Chu and J. Zu, Free vibrations of cylindrical shells with arbitrary boundary conditions: A comparison study, International Journal of Mechanical Sciences, 133 (2017) 91–99.

    Article  Google Scholar 

  30. L. M. Chen, Z. Y. Qin and F. L. Chu, Dynamic characteristics of rub-impact on rotor system with cylindrical shell, International Journal of Mechanical Sciences, 133 (2017) 51–64.

    Article  Google Scholar 

  31. X. Y. Shen, J. H. Jia and M. Zhao, Nonlinear analysis of a rub-impact rotor-bearing system with initial permanent rotor bow, Archive of Applied Mechanics, 78 (2008) 225–240.

    Article  Google Scholar 

  32. X. Y. Shen, J. H. Jia and M. Zhao, Numerical analysis of a rub-impact rotor-bearing system with mass imbalance, Journal of Vibration and Control, 13(12) (2007) 1819–1834.

    Article  Google Scholar 

  33. J. Rao, A note on Jeffcott warped rotor, Mechanism and Machine Theory, 36 (2001) 563–575.

    Article  Google Scholar 

  34. M. B. Deepthikumar, A. S. Sekhar and M. R. Srikanthan, Balancing of flexible rotor with bow using transfer matrix method, Journal of Vibration and Control, 20 (2) (2014) 225–240.

    Article  Google Scholar 

  35. J. C. Nicholas, E. J. Gunter and P. E. Allaire, Effect of residual shaft bow on unbalance response and balancing of a single mass flexible rotor: Part I: Balancing, Journal of Engineering for Gas Turbines and Power, 98 (2) (1976) 171–178.

    Article  Google Scholar 

  36. A. G. Parkinson, M. S. Darlow and A. J. Smalley, Balancing flexible rotating shafts with an initial bend, AIAA Journal, 22 (5) (1984) 683–689.

    Article  Google Scholar 

  37. L. Hu, Y. B. Liu, W. Teng and C. Zhou, Nonlinear coupled dynamics of a rod fastening rotor under rub-impact and initial permanent deflection, Energies, 9 (11) (2016) 8831–19.

    Article  Google Scholar 

  38. A. K. Darpe, K. Gupta and A. Chawla, Dynamics of a bowed rotor with a transverse surface crack, Journal of Sound and Vibration, 296 (2006) 888–907.

    Article  Google Scholar 

  39. R. D. Flack, J. H. Rooke, J. R. Bielk and E. J. Gunter, Comparison of the unbalance responses of Jeffcott rotors with shaft bow and shaft runout, Journal of Mechanical Design, 104 (1982) 318–328.

    Article  Google Scholar 

  40. L. J. Cveticanin, The oscillations of a textile machine rotor on which the textile is wound up, Mechanism and Machine Theory, 26 (3) (1991) 253–260.

    Article  Google Scholar 

  41. L. J. Cveticanin, A necessary condition for chaos in rotor systems, Mechanism and Machine Theory, 32 (3) (1997) 411–416.

    Article  Google Scholar 

  42. A. Ertas and E. K. Chew, Nonlinear dynamic responses of a rotating machine, International Journal of Non-Linear Mechanics, 25 (2) (1990) 241–251.

    Article  Google Scholar 

  43. Y. Yang, D. Q. Cao and Y. Q. Xu, Rubbing analysis of a nonlinear rotor with surface coatings, International Journal of Non-Linear Mechanics, 84 (2016) 105–115.

    Article  Google Scholar 

  44. Y. Yang, D. Q. Cao and D. Y. Wang, Investigation of dynamic characteristics of a rotor system with surface coatings, Mechanical Systems and Signal Processing, 84 (2017) 469–484.

    Article  Google Scholar 

  45. J. P. Den Hartog, Forced vibrations with combined coulomb and viscous friction, Transactions of the ASME, 53–9 (1931) 107–115.

    MATH  Google Scholar 

Download references

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11702228 and 11772273) and the Fundamental Research Funds for the Central Universities (2682017CX087). The first author, Yang Yang, would like to acknowledge the support of China Scholarship Council.

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Authors and Affiliations

  1. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu, China

    Yang Yang, Yiren Yang & Xin Li

  2. Center for Engineering Dynamics, School of Engineering, University of Liverpool, Liverpool, L69 3GH, UK

    Huajiang Ouyang

  3. School of Astronautics, Harbin Institute of Technology, Harbin, China

    Dengqing Cao

Authors
  1. Yang Yang
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  2. Yiren Yang
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  3. Huajiang Ouyang
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  4. Xin Li
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  5. Dengqing Cao
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Correspondence to Yang Yang.

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Recommended by Associate Editor Junhong Park

Yang Yang is a Lecturer at the School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu, China. He received his Ph.D. in Dynamics and Control from Harbin Institute of Technology. His research interests include rotor dynamics, fault diagnosis, and nonlinear vibration and control.

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Yang, Y., Yang, Y., Ouyang, H. et al. Dynamic performance of a rotor system with an initial bow and coupling faults of imbalance-rub during whirling motion. J Mech Sci Technol 33, 4645–4657 (2019). https://doi.org/10.1007/s12206-019-0908-7

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  • DOI: https://doi.org/10.1007/s12206-019-0908-7

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