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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Meher-Homji, C.B., Gabriles, G.: Gas turbine blade failures—causes, avoidance, and troubleshooting. In: Proceedings of the 27th Turbomachinery Symposium (2007)
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)
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)
Rzadkowski, R.: The general model of free vibrations of mistuned bladed discs, part I: theory. J. Sound Vib. 173(3), 377–393 (1994)
Luo, R.: Free transverse vibration of rotating blades in a bladed disk assembly. Acta Mech. 223, 1385–1396 (2012)
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)
Castanier, M.P., Ottarsson, G., Pierre, C.: A reduced-order modeling technique for mistuned bladed disks. J. Vib. Acoust. 119(3), 439–447 (1997)
Chatterjee, A., Kotambkar, M.S.: Modal characteristics of turbine blade packets under lacing wire damage induced mistuning. J. Sound Vib. 343, 49–70 (2015)
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)
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)
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)
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)
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)
Hou, J.F.: Cracking-induced mistuning in bladed disks. AIAA J. 44(11), 2542–2546 (2006)
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)
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)
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)
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)
Rioul, O., Vetterli, M.: Wavelets and signal processing. IEEE Signal Process. Mag. 8, 14–38 (1991)
Wu, N., Wang, Q.: Experimental studies on damage detection of beam structures with wavelet transform. Int. J. Eng. Sci. 49, 253–261 (2011)
Katunin, A.: Vibration-based spatial damage identification in honeycomb-core sandwich composite structures using wavelet analysis. Compos. Struct. 118, 385–391 (2014)
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)
Bagheri, A., Kourehli, S.: Damage detection of structures under earthquake excitation using discrete wavelet analysis. Asian J. Civ. Eng. 14, 289–304 (2013)
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)
Rajendran, P., Srinivasan, S.M.: Identification of added mass in the composite plate structure based on wavelet packet transform. Strain 52, 14–25 (2016)
Han, J., Ren, W., Sun, Z.: Wavelet packet based damage identification of beam structures. Int. J. Solids Struct. 42, 6610–6627 (2005)
Capilla, C.: Application of the Haar wavelet transform to detect microseismic signal arrivals. J. Appl. Geophys. 59, 36–46 (2006)
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)
Ang, A.H.S., Tang, W.H.: Probability Concepts in Engineering Planning and Design, vol. 1. Wiley, New York (1975)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
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
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00707-017-2059-1