Abstract
The proposed work is intended for Experimental Modal Analysis (EMA) of a multi-disk shaft system to estimate its modal parameters, i.e., natural frequencies, damping ratios, and mode shapes. The considered system is excited by a roving impact hammer at a set of excitation points, and the vibration response is measured at a number of response points (taken as reference points) using piezoelectric accelerometers. The Frequency Response Function (FRF) matrix and the corresponding Impulse Response Function (IRF) matrix are estimated, which allows the detection and estimation of repeated or closely coupled modes, known to exist in the considered structure. The estimated FRF and IRF matrices are employed with both time and frequency domain algorithms to estimate the desired modal parameters. Modal frequencies are estimated from Finite Element analysis using ANSYS and compared with the experimentally obtained frequencies.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Shahab, A.S., Thomas, J.: Coupling effect of disk flexibility on the dynamic behavior of multi disk-shaft system. J. Sound Vib. 114(3), 435–446 (1987)
Wu, F., Flowers, G.T.: A transfer matrix technique for evaluating the natural frequencies and critical speeds of a rotor with multiple flexible disks. J. Vib. Acoust. 114, 242–248 (1992)
Lee, C.W., Jia, H.S., Kim, C.S., Chun, S.B.: Tuning of simulated natural frequencies for a flexible shaft-multiple flexible disk system. J. Sound Vib. 207(4), 435–451 (1997)
Lee, C.-W., Chun, S.-B.: Vibration analysis of a rotor with multiple flexible disks using assumed modes method. J. Vib. Acoust. 120, 87–94 (1998)
Jia, H.S.: On the bending coupled natural frequencies of a spinning, multispan Timoshenko shaft carrying elastic disks. J. Sound Vib. 221, 623–649 (1999)
Jang, G.H., Lee, S.H.: Free vibration analysis of a spinning flexible disk-spindle system supported by ball bearing and flexible shaft using the finite element method and substructure synthesis. J. Sound Vib. 251(1), 59–78 (2002)
Shen, J.-Y., Tseng, C.-W., Shen, I.Y.: Vibration of rotating disk/spindle system with flexible housing/stator assemblies. J. Sound Vib. 271, 725–756 (2004)
Hili, M.A., Fakhfakh, T., Haddar, M.: Vibration analysis of a rotating flexible shaft-disk system. J. Eng. Math. 57, 351–363 (2007)
Khader, N., Atoum, A., Al-Qaisia, A.: Theoretical and Experimental modal analysis of multiple flexible disk-flexible shaft system. Paper presented at 2007 SEM annual conference, Springfield, Massachusetts, USA, 3–6 June 2007
Khader, N.: Modal parameters of a flexible disk-flexible shaft system from simulated data. Int. J. Veh. Noise Vib. 8(1), 60–73 (2012)
Fladung, Jr, W.A.: The development and implementation of multiple reference impact testing. Dissertation, University of Cincinnati (1990)
Catbas, F.N., Lenett, M., Brown, D.L., Doebling, S.W., Farrar, C.R., Turer, A.: Modal analysis of multi-reference impact test data for steel stringer bridges. In: Proceedings of the 15th International Modal Analysis Conference, February 1997
Brown, D.L., Matthew, C.W.: Review of recent developments in multiple-reference impact testing. Sound Vib. 45–1, 8–17 (2011)
Fladung, B.: Windows used for impact testing. In: Proceedings of the 15th International Modal Analysis Conference (IMAC), vol. 2, 1662–1666, February 1997
Sohaney, R.C., Nieters, J.M.: Proper use of weighting functions for impact testing. In: Proceedings, of the 3rd International Modal Analysis Conference, Orlando, FL, January 1985
Allemang, R.J., Brown, D.L.: A Complete review of the complex mode indicator function (CMIF) with applications. In: Proceedings International Conference on Noise and Vibration Engineering (ISMA), Katholieke Universiteit Leuven, Belgium, 2006
Shih, C.Y., Tsuei, Y.G., Allemang, R.J., Brown, D.L.: Complex mode indication function and its application to spatial domain parameter estimation. J. Mech. Syst. Sig. Process. 2, 367–372 (1988)
Juang, J.N., Pappa, R.S.: An eigensystem realization algorithm for modal parameter identification and model reduction. AIAA J. Guid. Control Dyn. 8(5), 8620–627 (1985)
Juang, J.N.: Mathematical correlation of modal parameter identification methods via system realization theory. J. Anal. Exp. Modal Anal. 2, 1–18 (1987)
Allemang, R.J., Brown, D.L.: A unified matrix polynomial approach to modal identification. J. Sound Vib. 211(3), 301–322 (1987)
Phillips, A.W., Allemang, R.J.: The unified matrix polynomial approach to understanding modal parameter estimation: an update. In: Proceedings, International Conference on Noise and Vibration Engineering, Katholieke Universiteit Leuven, Belgium, 2004
Brown, D.L., Phillips, A.W., Allemang, R.J.: A first order extended state vector expansion approach to experimental modal parameter estimation. Proceedings, International Modal Analysis Conference, 2005
Guillaume, P., et al.: A poly-reference implementation of the least-squares complex frequency-domain estimator. Proceedings of IMAC, vol. 21, 2003
Peeters, B., et al.: The PolyMAX frequency-domain method: a new standard for modal parameter estimations. Shock Vib. 11(3–4), 395–409 (2004)
Acknowledgement
The authors acknowledge support provided the Deanship of Research at Jordan University of Science & Technology (JUST) under grant 2013/198, as well as the valuable discussion with Dr. M. El-Kafafy from Vrije Universiteit Brussel, Belgium
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 The Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Khader, N., Ramadan, M. (2016). Modal Parameters of Multiple-Disk Shaft System from Multiple Reference Impact Test. In: Di Miao, D., Tarazaga, P., Castellini, P. (eds) Special Topics in Structural Dynamics, Volume 6. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-29910-5_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-29910-5_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-29909-9
Online ISBN: 978-3-319-29910-5
eBook Packages: EngineeringEngineering (R0)