Skip to main content
Log in

Mistuning identification in a bladed disk using wavelet packet transform

  • Original Paper
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Abstract

The dynamic response of a bladed disk is very sensitive to the symmetry of identical blades. If the properties of one or more blades vary slightly then the response can increase substantially, which is known as mistuning. Mistuning in bladed disks due to manufacturing tolerances has been extensively studied, with emphasis on response and fatigue life prediction. Damage to blades can also cause mistuning but has received only limited attention. The identification of mistuning in rotating bladed disks is a challenging and an on-going topic of investigation. This study proposes a Wavelet Energy-Based Mistuning Index (WEBMI) which is obtained from the wavelet packet transforms of both tuned and mistuned blade responses, and requires only output response signals. The proposed mistuning index is demonstrated on a lumped parameter model of a bladed disk, and mistuning was represented by altering the stiffness or mass of individual blades. Mistuning to single and multiple blades with different locations and severities was simulated. Gaussian white noise was added to the response signal to test robustness. Finally, experiments were conducted to validate the feasibility of the proposed method. The results demonstrate that the WEBMI is sensitive enough to identify subtle mistuning as small as 0.5% in single and multiple locations. Furthermore, the mistuning index increases monotonically with increases in mistuning severity.

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. Meher-Homji, C.B., Gabriles, G.: Gas turbine blade failures—causes, avoidance, and troubleshooting. In: Proceedings of the 27th Turbomachinery Symposium (2007)

  2. Castanier, M.P., Pierre, C.: Modeling and analysis of mistuned bladed disk vibration: current status and emerging directions. J. Propuls. Power 22(2), 384–396 (2006)

    Article  Google Scholar 

  3. Imregun, M., Ewins, D.: Aeroelastic vibration analysis of tuned and mistuned bladed systems. In: Proceedings of the Second Symposium on Unsteady Aerodynamics of Turbomachines and Propellers, Cambridge (1984)

  4. Rzadkowski, R.: The general model of free vibrations of mistuned bladed discs, part I: theory. J. Sound Vib. 173(3), 377–393 (1994)

    Article  MATH  Google Scholar 

  5. Luo, R.: Free transverse vibration of rotating blades in a bladed disk assembly. Acta Mech. 223, 1385–1396 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  6. Rivas-Guerra, A.J., Mignolet, M.P.: Maximum amplification of blade response due to mistuning: localization and mode shape aspects of the worst disks. J. Turbomach. 125(3), 442–454 (2003)

    Article  Google Scholar 

  7. Castanier, M.P., Ottarsson, G., Pierre, C.: A reduced-order modeling technique for mistuned bladed disks. J. Vib. Acoust. 119(3), 439–447 (1997)

    Article  Google Scholar 

  8. Chatterjee, A., Kotambkar, M.S.: Modal characteristics of turbine blade packets under lacing wire damage induced mistuning. J. Sound Vib. 343, 49–70 (2015)

    Article  Google Scholar 

  9. Chatterjee, A.: Lumped parameter modelling of turbine blade packets for analysis of modal characteristics and identification of damage induced mistuning. Appl. Math. Model. 40(3), 2119–2133 (2016)

    Article  MathSciNet  Google Scholar 

  10. Salhi, B., Lardiès, J., Berthillier, M., Voinis, P., Bodel, C.: Modal parameter identification of mistuned bladed disks using tip timing data. J. Sound Vib. 314, 885–906 (2008)

    Article  Google Scholar 

  11. Salhi, B., Lardiès, J., Berthillier, M.: Identification of modal parameters and aeroelastic coefficients in bladed disk assemblies. Mech. Syst. Signal Process. 23, 1894–1908 (2009)

    Article  Google Scholar 

  12. Yao, M.H., Zhang, W., Chen, Y.P.: Analysis on nonlinear oscillations and resonant responses of a compressor blade. Acta Mech. 225, 3483–3510 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  13. Yuan, J., Scarpa, F., Allegri, G., Titurus, B., Patsias, S., Rajasekaran, R.: Efficient computational techniques for mistuning analysis of bladed discs: a review. Mech. Syst. Signal Process. 87, 71–90 (2017)

    Article  Google Scholar 

  14. Hou, J.F.: Cracking-induced mistuning in bladed disks. AIAA J. 44(11), 2542–2546 (2006)

    Article  Google Scholar 

  15. Guru, S.S., Shylaja, S., Kumar, S., Murthy, R.: Pre-emptive rotor blade damage identification by blade tip timing method. J. Eng. Gas Turbines Power 136, 072503-1 (2014)

    Article  Google Scholar 

  16. Wang, S., Zi, Y., Li, B., Zhang, C., He, Z.: Reduced order modeling for mistuned centrifugal impellers with crack damages. J. Sound Vib. 333, 6979–6995 (2014)

    Article  Google Scholar 

  17. Hanachi, H., Liu, J., Banerjee, A., Koul, A., Liang, M., Alavi, E.: Bladed disc crack diagnostics using blade passage signals. Meas. Sci. Technol. 23, 1–8 (2012)

    Article  Google Scholar 

  18. Madhavan, S., Jain, R., Sujatha, C., Sekhar, A.S.: Vibration based damage detection of rotor blades in a gas turbine engine. Eng. Fail. Anal. 46, 26–39 (2014)

    Article  Google Scholar 

  19. Rioul, O., Vetterli, M.: Wavelets and signal processing. IEEE Signal Process. Mag. 8, 14–38 (1991)

    Article  Google Scholar 

  20. Wu, N., Wang, Q.: Experimental studies on damage detection of beam structures with wavelet transform. Int. J. Eng. Sci. 49, 253–261 (2011)

    Article  Google Scholar 

  21. Katunin, A.: Vibration-based spatial damage identification in honeycomb-core sandwich composite structures using wavelet analysis. Compos. Struct. 118, 385–391 (2014)

    Article  Google Scholar 

  22. Shahsavari, V., Chouinard, L., Bastien, J.: Wavelet-based analysis of mode shapes for statistical detection and localization of damage in beams using likelihood ratio test. Eng. Struct. 132, 494–507 (2017)

    Article  Google Scholar 

  23. Bagheri, A., Kourehli, S.: Damage detection of structures under earthquake excitation using discrete wavelet analysis. Asian J. Civ. Eng. 14, 289–304 (2013)

    Google Scholar 

  24. Prakash, R., Srinivasan, S.M.: Rotational mode shape based added mass identification using wavelet packet transform. Int. J. Comput. Methods Eng. Sci. Mech. 16, 182–187 (2015)

    Article  MathSciNet  Google Scholar 

  25. Rajendran, P., Srinivasan, S.M.: Identification of added mass in the composite plate structure based on wavelet packet transform. Strain 52, 14–25 (2016)

    Article  Google Scholar 

  26. Han, J., Ren, W., Sun, Z.: Wavelet packet based damage identification of beam structures. Int. J. Solids Struct. 42, 6610–6627 (2005)

    Article  MATH  Google Scholar 

  27. Capilla, C.: Application of the Haar wavelet transform to detect microseismic signal arrivals. J. Appl. Geophys. 59, 36–46 (2006)

    Article  Google Scholar 

  28. Jaffery, Z.A., Ahmad, K., Sharma, P.: Selection of optimal decomposition level based on entropy speech denoising using wavelet packet. J. Bioinform. Control 1, 196–202 (2013)

    Article  Google Scholar 

  29. Ang, A.H.S., Tang, W.H.: Probability Concepts in Engineering Planning and Design, vol. 1. Wiley, New York (1975)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. El-Borgi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jamia, N., Rajendran, P., El-Borgi, S. et al. Mistuning identification in a bladed disk using wavelet packet transform. Acta Mech 229, 1275–1295 (2018). https://doi.org/10.1007/s00707-017-2059-1

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00707-017-2059-1

Navigation