Skip to main content
Log in

Vibration response analysis caused by rubbing between rotating blade and casing

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

Two types of blade-tip rubbing due to the static misalignment of the bladed-disk center and casing center and casing deformation are simulated. By applying aerodynamic load in the blade lateral/flexural direction, vibration responses due to blade-casing rubbing are analyzed under the run-up process with constant angular acceleration and the steady-state process at 10000 rev/min. The effects of some parameters, such as the static misalignment e c, casing stiffness k c and casing deformation n p, on the system vibration responses are also illustrated by spectrum cascades, time-domain waveforms of displacement, normal rubbing forces, amplitude spectra and the impulse P in a single blade-casing rubbing period. The results show that blade-tip rubbing will cause amplitude amplification and harmonic resonance phenomena when the multiple frequencies (nf r) of rotational frequency (f r) coincide with the first three flexural dynamic frequencies of the blade (f n1, f n2 and f n3). For example, the displacement amplitudes at 3f r, 14f r and 38f r are large and the vibration is dominant near f n1. In addition, the casing deformation mainly excites the dominant Blade passing frequency (BPF), which is related to the casing deformation coefficient n p. By comparing these impulse values, for the selected parameters in this paper, the casing stiffness has a greater effect on impulse than the static misalignment and casing deformation coefficient. The impulse shows a linear increase trend with the increasing static misalignment, and it decreases under the large n p because the contact time decreases with the increase of n p.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. Jacquet-Richardet et al., Rotor to stator contacts in turbomachines, Review and application, Mechanical Systems and Signal Processing, 40 (2013) 401–420.

    Article  Google Scholar 

  2. A. Muszynska, Rotor to stationary element rub-related vibration phenomena in rotating machinery–literature survey, Shock and Vibration Digest, 21 (1989) 3–11.

    Article  Google Scholar 

  3. J. Jiang and Y. H. Chen, Advances in the research on nonlinear phenomena in rotor/stator rubbing systems, Advances in Mechanics, 43 (2013) 132–148 (in Chinese).

    Google Scholar 

  4. S. Ahmad, Rotor casing contact phenomenon in rotor dynamics-literature survey, J. of Vibration and Control, 16 (2010) 1369–1377.

    Article  Google Scholar 

  5. D. W. Childs and D. Kumar, Dry-friction whip and whirl predictions for a rotor-stator model with rubbing contact at two locations, J. of Engineering for Gas Turbines and Power, 134 (2012) 072502–1-11.

    Article  Google Scholar 

  6. Z. Shang and J. Jiang, The global responses characteristics of a rotor/stator rubbing system with dry friction effects, J. of Sound and Vibration, 330 (2011) 2150–2160.

    Article  Google Scholar 

  7. W. M. Zhang et al., Nonlinear dynamics of a rub-impact micro-rotor system with scale-dependent friction model, J. of Sound and Vibration, 309 (2008) 756–777.

    Article  Google Scholar 

  8. P. Pennacchi, N. Bachschmid and E. Tanzi, Light and short arc rubs in rotating machines: Experimental tests and modelling, Mechanical Systems and Signal Processing, 23 (2009) 2205–2227.

    Article  Google Scholar 

  9. F. L. Chu and W. X. Lu, Experimental observation of nonlinear vibrations in a rub-impact rotor system, J. of Sound and Vibration, 283 (2005) 621–643.

    Article  Google Scholar 

  10. H. Ma et al., Fixed-point rubbing fault characteristic analysis of a rotor system based on contact theory, Mechanical Systems and Signal Processing, 38 (2013) 137–153.

    Article  Google Scholar 

  11. H. Ma et al., Dynamic characteristics analysis of a rotor system with two types of limiters, International J. of Mechanical Sciences, 88 (2014) 192–201.

    Article  Google Scholar 

  12. H. Ma et al., Dynamic characteristics analysis of a rotorstator system under different rubbing forms, Applied Mathematical Modelling (2014) doi:10.1016/j.apm.2014.11.009.

    Google Scholar 

  13. X. Y. Tai et al., Stability and steady-state response analysis of a single rub-impact rotor system, Archive of Applied Mechanics, 85 (2015) 133–148.

    Article  Google Scholar 

  14. A. F. Kascak and J. J. Tomko, Effects of different rub models on simulated rotor dynamics, NASA Technical Paper 2220 (1984).

  15. J. Padovan and F. K. Choy, Nonlinear dynamics of rotor/blade/casing rub interactions, J. of Turbomachinery, 109 (1987) 527–534.

    Article  Google Scholar 

  16. C. Lawrence, K. Carney and V. Gallardo, A study of fan stage/casing interaction models, National Aeronautics and Space Administration, Glenn Research Center, NASA/ TM—2003-212215 (2003).

    Google Scholar 

  17. S. K. Sinha, Dynamic characteristics of a flexible bladedrotor with Coulomb damping due to tip-rub, J. of Sound and Vibration, 273 (2004) 875–919.

    Article  Google Scholar 

  18. S. K. Sinha, Rotordynamic analysis of asymmetric turbofan rotor due to fan blade-loss event with contact-impact rub loads, J. of Sound and Vibration, 332 (2013) 2253–2283.

    Article  Google Scholar 

  19. N. Lesaffre, J. J. Sinou and F. Thouverez, Contact analysis of a flexible bladed-rotor, European J. of Mechanics -A/Solids, 26 (2007) 541–557.

    Article  MATH  Google Scholar 

  20. M. Parent, F. Thouverez and F. Chevillot, Whole engine interaction in a bladed rotor-to-stator contact, Proceedings of ASME Turbo Expo 2014: Turbine Technical Conference and Exposition, American Society of Mechanical Engineers (2014).

    Google Scholar 

  21. M. Parent, F. Thouverez and F. Chevillot, 3D interaction in bladed rotor-to-stator contact, Proceedings of the 9th International Conference on Structural Dynamics, EURODYN 2014, Porto, Portugal, 30 June-2 July (2014).

    Google Scholar 

  22. H. Ma et al., Numerical research on rub-impact fault in a blade-rotor-casing coupling system, J. of Vibroengineering, 15 (2013) 1477–1489.

    Google Scholar 

  23. E. P. Petrov, Multiharmonic analysis of nonlinear whole engine dynamics with bladed disc-casing rubbing contacts, ASME Turbo Expo 2012: Turbine Technical Conference and Exposition, American Society of Mechanical Engineers (2012) 1181–1191.

    Google Scholar 

  24. M. Legrand, C. Pierre and B. Peseux, Structural modal interaction of a four degree of freedom bladed disk and casing model, J. of Computational and Nonlinear Dynamics, 5 (2010) 13–41.

    Article  Google Scholar 

  25. N. Lesaffre, J. J. Sinou and F. Thouverez, Stability analysis of rotating beams rubbing on an elastic circular structure, J. of Sound and Vibration, 299 (2007) 1005–1032.

    Article  Google Scholar 

  26. S. K. Sinha, Non-linear dynamic response of a rotating radial Timoshenko beam with periodic pulse loading at the free-end, International J. of Non-Linear Mechanics, 40 (2005) 113–149.

    Article  MATH  Google Scholar 

  27. S. K. Sinha, Combined torsional-bending-axial dynamics of a twisted rotating cantilever Timoshenko beam with contactimpact loads at the free end, J. of Applied Mechanics, 74 (2007) 505–522.

    Article  MATH  Google Scholar 

  28. H. J. Kou and H. Q. Yuan, Rub-induced non-linear vibrations of a rotating large deflection plate, International J. of Non-Linear Mechanics, 58 (2014) 283–294.

    Article  Google Scholar 

  29. H. Q. Yuan and H. J. Kou, Contact-impact analysis of a rotating geometric nonlinear plate under thermal shock, J. of Engineering Mathematics, 90 (2015) 119–140.

    Article  MathSciNet  Google Scholar 

  30. P. Almeida, G. Gibert, F. Thouverez and J. P. Ousty, On some physical phenomena involved in blade-casing contact, Proceedings of the 9th International Conference on Structural Dynamics, EURODYN 2014, Porto, Portugal, 30 June-2 July (2014).

    Google Scholar 

  31. M. Legrand et al., Two-dimensional modeling of an aircraft engine structural bladed disk-casing modal interaction, J. of Sound and Vibration, 319 (2009) 366–391.

    Article  Google Scholar 

  32. A. Batailly, M. Meingast and M. Legrand, Unilateral contact induced blade/casing vibratory interactions in impellers: Analysis for rigid casings, J. of Sound and Vibration, 337 (2015) 244–262.

    Article  Google Scholar 

  33. H. Ma et al., A revised model for rubbing between rotating blade and elastic casing, J. of Sound and Vibration, 337 (2015) 301–320.

    Article  Google Scholar 

  34. H. Ma et al., Vibration response analysis of blade-disk dovetail structure under blade tip rubbing condition, J. of Vibration and Control (2015) DOI: 10.1177/1077546315575835.

    Google Scholar 

  35. S. M. Chu et al., Nonlinear dynamical characteristics of a flexible rotating shrouded blade, Scientia Sinica Physica, Mechanica & Astronomica, 43 (2013) 424–435.

    Article  Google Scholar 

  36. S. M. Chu et al., Impact vibration characteristics of a shrouded blade with asymmetric gaps under wake flow excitations, Nonlinear Dynamics, 72 (2013) 539–554.

    Article  MathSciNet  Google Scholar 

  37. Y. J. Kee and S. J. Shin, Structural dynamic modeling for rotating blades using three dimensional finite elements, JMST, 29 (2015) 1607–1618.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hui Ma.

Additional information

Recommended by Associate Editor Ki-Hoon Shin

Hui Ma is a Professor at the School of Mechanical Engineering and Automation, Northeastern University, China. His research interests include rotor dynamics and fault diagnosis.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ma, H., Yin, F., Tai, X. et al. Vibration response analysis caused by rubbing between rotating blade and casing. J Mech Sci Technol 30, 1983–1995 (2016). https://doi.org/10.1007/s12206-016-0404-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-016-0404-2

Keywords

Navigation