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Modal Parameters of Multiple-Disk Shaft System from Multiple Reference Impact Test

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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.

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References

  1. 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)

    Article  Google Scholar 

  2. 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)

    Article  Google Scholar 

  3. 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)

    Google Scholar 

  4. 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)

    Article  Google Scholar 

  5. 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)

    Article  Google Scholar 

  6. 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)

    Article  Google Scholar 

  7. 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)

    Google Scholar 

  8. Hili, M.A., Fakhfakh, T., Haddar, M.: Vibration analysis of a rotating flexible shaft-disk system. J. Eng. Math. 57, 351–363 (2007)

    Article  MATH  Google Scholar 

  9. 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

    Google Scholar 

  10. Khader, N.: Modal parameters of a flexible disk-flexible shaft system from simulated data. Int. J. Veh. Noise Vib. 8(1), 60–73 (2012)

    Article  Google Scholar 

  11. Fladung, Jr, W.A.: The development and implementation of multiple reference impact testing. Dissertation, University of Cincinnati (1990)

    Google Scholar 

  12. 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

    Google Scholar 

  13. Brown, D.L., Matthew, C.W.: Review of recent developments in multiple-reference impact testing. Sound Vib. 45–1, 8–17 (2011)

    Google Scholar 

  14. Fladung, B.: Windows used for impact testing. In: Proceedings of the 15th International Modal Analysis Conference (IMAC), vol. 2, 1662–1666, February 1997

    Google Scholar 

  15. 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

    Google Scholar 

  16. 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

    Google Scholar 

  17. 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)

    Article  MATH  Google Scholar 

  18. 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)

    Article  MATH  Google Scholar 

  19. Juang, J.N.: Mathematical correlation of modal parameter identification methods via system realization theory. J. Anal. Exp. Modal Anal. 2, 1–18 (1987)

    Google Scholar 

  20. Allemang, R.J., Brown, D.L.: A unified matrix polynomial approach to modal identification. J. Sound Vib. 211(3), 301–322 (1987)

    Article  MATH  Google Scholar 

  21. 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

    Google Scholar 

  22. 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

    Google Scholar 

  23. Guillaume, P., et al.: A poly-reference implementation of the least-squares complex frequency-domain estimator. Proceedings of IMAC, vol. 21, 2003

    Google Scholar 

  24. Peeters, B., et al.: The PolyMAX frequency-domain method: a new standard for modal parameter estimations. Shock Vib. 11(3–4), 395–409 (2004)

    Article  Google Scholar 

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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

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Correspondence to Naim Khader .

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© 2016 The Society for Experimental Mechanics, Inc.

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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

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  • DOI: https://doi.org/10.1007/978-3-319-29910-5_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-29909-9

  • Online ISBN: 978-3-319-29910-5

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