Abstract
The feasibility of controlling the vibrations of rotating machines while performing online crack detection is addressed in this paper. For this purpose, two controllers are compared, namely \( LQR \) and \( H_{\infty } \), which represent optimal and robust control strategies, respectively. A non-dimensional Jeffcott rotor model is employed to simulate the dynamic behavior of a rotating machine. In addition, a crack is introduced in the shaft using the so-called Mayes’ model. An active magnetic bearing (AMB) is placed as an actuator at the disc location along the rotor. For each control technique, different strategies are implemented to evaluate their effectiveness on both attenuating the vibration level and detecting the fatigue crack. Conclusions are drawn regarding the effectiveness of the control strategy for each phenomenon.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Kasarda MEF (2000) An overview of active magnetic bearing technology and applications. Shock Vib Dig 32(2):91–99
Schweitzer G (2009) Applications and research topics for active magnetic bearings. In: IUTAM-symposiumon emerging trends in rotor dynamics, Delhi
Kulesza Z, Sawicki JT (2012) Controlled deflection approach for rotor crack detection. J Eng Gas Turbines Power 134(9):92–102
Pesch AH, Hanawalt SP, Sawicki JT (2014) A case study in control methods for active magnetic bearings. In: Dynamic systems and control conference, San Antonio
Imam I, Azzaro SH, Bankert RJ, Scheibel J (1989) Development of an on-line rotor crack detection and monitoring system. J Vib Acoust Stress Reliab Des 111:241–250
Sawicki JT, Friswell MI, Kulesza Z, Wroblewski A, Lekki JD (2011) Detecting cracked rotors using auxiliary harmonic excitation. J Sound Vib 330:1365–1381
Litak G, Sawicki JT (2009) Crack identification by multifractal analysis of a dynamic rotor response. ZAMM Z Angew Math Mech 89(7):587–592
Litak G, Sawicki JT, Kasperek R (2009) Cracked rotor detection by recurrence plots. Nondestruct Test Eval 24(4):347–351
Sawicki JT, Sen AK, Litak G (2009) Multiresolution wavelet analysis of the dynamics of a cracked rotor. Int J Rotat Mach
Kulesza Z, Sawicki JT (2010) Auxiliary state variables for rotor crack detection. J Vib Control 17(6):857–872
Kulesza Z, Sawicki JT, Gyekenyesi AL (2012) Robust fault detection filter using linear matrix inequalities’ approach for shaft crack diagnosis. J Vib Control 19(9):1421–1440
Zhu C, Robb DA, Ewins DJ (2003) The dynamics of a cracked rotor with an active magnetic bearing. J Sound Vib 265:469–487
Gasch R (1976) Dynamic behaviour of a simple rotor with a cross-sectional crack. In: IMechE conference on vibrations in rotating machinery, Cambridge C178(76), pp123–128
Gasch R (1993) A survey of the dynamic behavior of a simple rotating shaft with a transverse crack. J Sound Vib 160:313–332
Mayes IW, Davis WGR (1976) The vibrational behaviour of a rotating shaft system containing a transverse crack. In: IMechE conference on vibrations in rotating machinery, Cambridge, C168(76), pp 53–64
Mayes IW, Davies WGR (1984) Analysis of the response of a multirotor-bearing system containing a transverse crack. J Vib Acoust Stress Reliab Des 106:139–145
Friswell MI, Penny JET, Garvey SD, Lees AW (2010) Dynamics of rotating machines. Cambridge University Press, Cambridge
Burbano CR, Steffen Jr. V (2007) Diagnosis of cracked shafts by monitoring the transient motion response. In: International symposium on dynamic problems, SP, pp 1–10
Singhal S (2014) Motors not turbines drive heavy equipment. In: Machine design
Pandey SK, Laxmi V (2015) Optimal control of twin rotor MIMO system using LQR technique. In: International conference on CIDM, v 1, pp 11–21
Maslen EH, Sawicki JT (2007) Mu-Synthesis for magnetic bearings: why use such a complicated tool? In: IMECE 2007, Seattle
Glover K, Doyle JC (1988) State-space formulae for all stabilizing controller that satisfy an H∞ norm bound and relations to risk sensitivity. Syst Control Lett 11:167–172
Bently DE, Muszynska A (1986) Detection of rotor cracks. In: Fifteenth turbomachinery symposium, Texas, pp 129–139
Bachschmid N, Pennacchi P, Tanzi E (2000) Identification of transverse crack position and depth in rotor systems. Meccanica 35(6):563–582
Acknowledgements
The authors are thankful to the financial support provided to the present research effort by CNPq (574001/2008-5) and FAPEMIG (TEC-APQ-3076-09 / TEC-APQ-02284-15), through the INCT-EIE.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Leão, L.S., Sahinkaya, A., Cavalini, A.A., Steffen, V., Sawicki, J.T. (2019). The Influence of the Vibration Suppression on the Rotor Crack Detection Performance. In: Cavalca, K., Weber, H. (eds) Proceedings of the 10th International Conference on Rotor Dynamics – IFToMM. IFToMM 2018. Mechanisms and Machine Science, vol 63. Springer, Cham. https://doi.org/10.1007/978-3-319-99272-3_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-99272-3_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-99271-6
Online ISBN: 978-3-319-99272-3
eBook Packages: EngineeringEngineering (R0)