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Hybrid Viscous-Structural Damping Identification Method

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Vibration Engineering and Technology of Machinery

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 23))

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Abstract

Damping still remains one of the least well-understood aspects of general vibration analysis. The effects of damping are clear, but the characterization of damping is a puzzle waiting to be solved. A major reason for this is that, in contrast with inertia and stiffness forces, it is not clear which state variables are relevant to determine the damping forces. In this paper, a new hybrid viscous-structural damping identification method is proposed. The proposed method is a direct method and gives explicit structural and viscous damping matrices. The effectiveness of the proposed structural damping identification method is demonstrated by two numerical examples. First, numerical study of lumped mass system is presented which is followed by a numerical study of fixed-fixed beam. The effects of coordinate incompleteness and different level of damping are investigated. The results have shown that the proposed method is able to identify accurately the damping of the system.

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References

  1. Rayleigh L (1897) Theory of sound (two volumes). Dover Publications, New York

    Google Scholar 

  2. Bert CW (1973) Material damping: An introduction review of mathematical models, measures and experimental techniques. J Sound Vib 29:129–153

    Article  MATH  Google Scholar 

  3. Heckl M (1962) Measurements of absorption coefficients of plates. J Sound Acoust Soc Am 34:803–808

    Article  Google Scholar 

  4. Oliveto G, Greco A (2002) Some observations on the characterization of structural damping. J Sound Vib 256:391–415

    Article  Google Scholar 

  5. Maia NMM, Silva JMM, Ribeiro AMR (1998) On a general model for damping. J Sound Vib 218:749–767

    Article  MATH  Google Scholar 

  6. Agrawal OP, Yuan L (2002) A numerical scheme for dynamic systems containing fractional derivatives. J Vib Acoust 124:321–324

    Article  Google Scholar 

  7. Adhikari S, Woodhouse J (2003) Quantification of non-viscous damping in discrete linear systems. J Sound Vib 260:499–518

    Article  Google Scholar 

  8. Chen SY, Ju MS, Tsuei YG (1996) Estimation of mass, stiffness and damping matrices from frequency response functions. J Vib Acoust 118:78–82

    Article  Google Scholar 

  9. Minas C, Inman DJ (1991) Identification of viscous damping in structure from modal information. J Vib Acoust 113:219–224

    Article  Google Scholar 

  10. Beliveau JG (1976) Identification of viscous damping in structures from modal information. J Appl Mech 43:335–338

    Article  Google Scholar 

  11. Lancaster P (1961) Expression for damping matrices in linear vibration. J Aerosp Sci 28:256

    Article  Google Scholar 

  12. Pilkey, D.F., 1998. Computation of damping matrix for finite element model updating. PhD thesis, Virginia Polytechnic Institute and State University, USA

    Google Scholar 

  13. Pilkey DF, Inman DJ, Friswell MI (1998) The direct updating of damping and stiffness matrices. AIAA J 36:491–493

    Article  Google Scholar 

  14. Oho T, Okuma M, Shi Q (1990) Development of the experimental spatial matrix identification method. J Sound Vib 299:5–12

    Google Scholar 

  15. Lee JH, Kim J (2001) Development and validation of a new experimental method to identify damping matrices of a dynamic system. J Sound Vib 246:505–524

    Article  Google Scholar 

  16. Adhikari S, Woodhouse J (2000) Identification of damping Part 1, Viscous Damping. J Sound Vib 243:43–61

    Article  Google Scholar 

  17. Adhikari S, Woodhouse J (2000) Identification of damping Part 2, Non-Viscous Damping. J Sound Vib 243:63–88

    Article  Google Scholar 

  18. Phani S, Woodhouse J (2007) Viscous damping identification in linear vibration. J Sound Vib 303:475–500

    Article  Google Scholar 

  19. Imregun M, Visser WJ, Ewins DJ (1995) Finite element model updating using frequency response function data-1: Theory and initial investigation. Mech Syst Signal Process 9:187–202

    Article  Google Scholar 

  20. Lin RM, Ewins DJ (1994) Analytical model improvement using frequency response functions. Mech Syst Signal Process 8:437–458

    Article  Google Scholar 

  21. Arora V, Singh SP, Kundra TK (2009) Damped model updating using complex updating parameters. J Sound Vib 320:438–451

    Article  Google Scholar 

  22. Arora V, Singh SP, Kundra TK (2009) Finite element model updating with damping identification. J Sound Vib 324:1111–1123

    Article  Google Scholar 

  23. Pradhan S, Modak SV (2012) A method for damping matrix identification using frequency response data. Mech Syst Signal Process 33:69–82

    Article  Google Scholar 

  24. Arora V (2014) Structural damping identification using normal FRFs. Int J Solids Struct 51:133–143

    Article  Google Scholar 

  25. Friswell MI , Garvey SD , Penny JET (1998) The convergence of the iterated IRS technique. J Sound Vib 1211:123–132

    Google Scholar 

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Correspondence to Vikas Arora .

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Arora, V. (2015). Hybrid Viscous-Structural Damping Identification Method. In: Sinha, J. (eds) Vibration Engineering and Technology of Machinery. Mechanisms and Machine Science, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-319-09918-7_18

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  • DOI: https://doi.org/10.1007/978-3-319-09918-7_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09917-0

  • Online ISBN: 978-3-319-09918-7

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