Skip to main content
SpringerLink
Log in

Direct identification of non-proportional modal damping matrix for lumped mass system using modal parameters

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

Several damping materials have been employed to reduce the vibration of marine structures. In this paper, a new method of identifying system matrices for non-proportional damping structures using modal parameters is proposed. This method has two advantages. First, the mass and stiffness matrices do not need to be calculated using the FEM, so errors due to the inaccuracy of these matrices can be reduced. Second, various indirect methods can be used to identify modal parameters such as natural frequencies, modal damping ratios and mode shapes. Three case studies of lumped mass systems with non-proportional damping are carried out to verify the performance of the proposed method in this study.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. J. Ewins, Modal testing, Second Ed. RESEARCH STUDIES PRESS LTD, Baldock, Hertfordshire, England (2000).

    Google Scholar 

  2. N. M. M. Maia and J. M. M. Silva, Theoretical and experimental modal analysis, RESEARCH STUDIES PRESS LTD, Baldock, Hertfordshire, England (1998).

    Google Scholar 

  3. B. Peeters, H. V. Auweraer, P. Guillaume and J. Leuridan, The PolyMAX frequency-domain method: a new standard for modal parameter estimation?, Shock and Vibration, IOS Press 11 (2004) 395–409.

    Google Scholar 

  4. M. H. Richardson and S. Jose, Global frequency and damping estimates from frequency response measurements, 1986 Proceedings of the 4th International Modal Analysis Conference, Los Angeles, CA, USA (1986) 1–7.

  5. K. Shye, C. VanKarsen, M. Richardson and S. Jose, Modal testing using multiple references, 1987 Proceedings of the 5th International Modal Analysis Conference, London, UK, 1–12.

  6. R. J. Allemang and D. L. Brown, A unified matrix polynomial approach to modal identification, Journal of Sound and Vibration, 211(3) (1998) 301–322.

    Article  Google Scholar 

  7. C. Devriendt and P. Guillaume, Identification of modal parameters from transmissibility measurements, Journal of Sound and Vibration, 314 (2008) 343–356.

    Article  Google Scholar 

  8. J. Lardies, M. N. Ta and M. Berthillier, Modal parameter estimation based on the wavelet transform of output data, Archive of Applied Mechanics, 73 (2004) 718–733.

    Article  MATH  Google Scholar 

  9. S. Erlicher and P. Argoul, Modal identification of linear non-proportionally damped systems by wavelet transform, Mechanical System and Signal Processing, 21 (2007) 386–1421.

    Article  Google Scholar 

  10. S. Zivanovic, A. Pavic and P. Reynolds, Modal testing and FE model tuning of a lively footbridge structure, Engineering Structures, 28(6) (2006) 857–868.

    Article  Google Scholar 

  11. V. Arora, S. P. Singh and T. K. Kundra, (2009) Damped model updating using complex updating parameters, Journal of Sound and Vibration, 320 (2009) 438–451.

    Article  Google Scholar 

  12. K. Jahani and A. S. Nobari, Identification of dynamic (Young’s and shear) moduli of a structural adhesive using modal based direct model updating method, Experimental Mechanics, 48 (2008) 599–611.

    Article  Google Scholar 

  13. S. Avril, M. Bonnet, A. S. Bretelle, M. Grediac, F. Hild, P. Ienny, F. Latourte, D. Lemosse, S. Pagano, E. Pagnacco and F. Pierron, Overview of identification methods of mechanical parameters based on full-field measurements, Experimental Mechanics, 48 (2008) 381–402.

    Article  Google Scholar 

  14. J. Woodhouse, Linear damping models for structural vibration, Journal of Sound and Vibration, 215(3) (1998) 547–569.

    Article  Google Scholar 

  15. S. Adhikari and J. Woodhouse, Identification of damping-part 1: viscous damping, Journal of Sound and Vibration, 219(5) (1999) 43–61.

    Google Scholar 

  16. S. Adhikari and J. Woodhouse, Identification of damping-part 2: non-viscous damping, Journal of Sound and Vibration, 243(1) (2001) 63–88.

    Article  Google Scholar 

  17. J. H. Lee and J. Kim, Identification of damping matrices form measured frequency response functions, Journal of Sound and Vibration, 240(3) (2001) 545–565.

    Article  Google Scholar 

  18. A. S. Phani and J. Woodhouse, Viscous damping identification in linear vibration, Journal of Sound and Vibration, 303 (2007) 475–500.

    Article  Google Scholar 

  19. A. S. Phani and J. Woodhouse, Experimental identification of viscous damping in linear vibration, Journal of Sound and Vibration, 19 (2009) 832–849.

    Article  Google Scholar 

  20. A. D. Nashif, D. I. G. Jones and J. P. Henderson, Vibration damping, John Wiley and Sons, Inc., New York, USA (1985).

    Google Scholar 

  21. D. I. G. Jones, Handbook of viscoelastic vibration damping, John Wiley and Sons, Inc., New York, USA (2001).

    Google Scholar 

  22. ASTM, E 756-04: Standard test method for measuring vibration-damping properties of materials, ASTM Interna tional, USA (2004).

    Google Scholar 

  23. H. I. Park, H. Yang, C. H. Min, D. H. Jung and S. R. Bae, Temperature effect on the modal properties of laminated composite structures, Proceedings of the seventeenth International Offshore and Polar Engineering Conference, ISOPE, Lisbon, Portugal (2007) 842–847.

    Google Scholar 

  24. H. I. Park, C. H. Min and S. R. Bae, Accurate measurement of loss factor and Young’s modulus for a composite structure using a multi degree of freedom curve-fitting method, Proceedings of the eighteenth International Offshore and Polar Engineering Conference, ISOPE, Vancouver, Canada (2008) 390–395.

    Google Scholar 

  25. C. H. Min, H. I. Park and S. R. Bae, Experimental vibration analysis of damped beam model using multi-degree curve fitting method, Journal of Ocean Engineering and Technology, 22(1) (2008) 70–74.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Graduate School of Korea Maritime University, Busan, 606-791, Korea

    Cheonhong Min

  2. Department of Ocean Engineering, Korea Maritime University, Busan, 606-791, Korea

    Hanil Park

  3. Department of Architecture and Ocean Space, Korea Maritime University, Busan, 606-791, Korea

    Sooyong Park

Authors
  1. Cheonhong Min
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hanil Park
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Sooyong Park
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hanil Park.

Additional information

Recommended by Associate Editor Ohseop Song

Cheonhong Min is a graduate student in Department of Ocean Engineering at Korea Maritime University. He has studied experimental vibration analysis.

Hanil Park is a professor in Department of Ocean Engineering, Korea Maritime University. He had studied at University College London for his Ph.D. He has researched on offshore structural dynamics. He is now the president of Korean Society of Ocean Engineering.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Min, C., Park, H. & Park, S. Direct identification of non-proportional modal damping matrix for lumped mass system using modal parameters. J Mech Sci Technol 26, 993–1002 (2012). https://doi.org/10.1007/s12206-012-0221-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-012-0221-1

Keywords

Search

Navigation