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Modal Scaling in OMA Using the Mass matrix of a Finite Element Model

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Dynamics of Civil Structures, Volume 4

Abstract

It is well known that the mode shapes are not mass normalized in the operational modal analysis process. In the last years several equations have been proposed to scale de mode shapes using the mass change method, which consists of modifying the dynamic behavior of the structure attaching some masses at positions where the mode shapes are known. The modal masses are then estimated using the modal parameters of both the unperturbed and the perturbed systems together with the mass change matrix corresponding to the applied perturbations.

In this paper it is proposed a new technique to scale the mode shapes in operational modal analysis which consists of combining the mass matrix of a finite element model and the experimental mode shapes identified by operational modal analysis. It is proven that, if a reasonable correlation exists between the experimental and the numerical systems, the results provided by this method are of the same order of accuracy as the results of the mass change method.

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References

  1. Parloo E, Verboven P, Guillaume P, Van Overmeire M (2002) Sensitivity-based operational mode shape normalization. Mech Syst Signal Process 16:757–767

    Article  Google Scholar 

  2. Brincker R, Andersen P (2003) A way of getting scaled mode shapes in output only modal analysis. In: Proceedings of the international modal analysis conference (IMAC) XXI, Orlando, paper 141

    Google Scholar 

  3. López Aenlle M, Brincker R, Fernández P, Fernández-Canteli A (2012) On exact and approximated formulations for scaling mode shapes in operational modal analysis by mass and stiffness change. J Sound Vib 331:622–637

    Article  Google Scholar 

  4. Bernal D (2004) Modal scaling from known mass perturbations. J Eng Mech 130:1083–1088

    Article  Google Scholar 

  5. Bernal D (2011) A receptance based formulation for modal scaling using mass perturbations. Mech Syst Signal Process 25:621–629

    Article  Google Scholar 

  6. Brincker R, Rodrigues J, Andersen P (2004) Scaling the mode shapes of a building model by mass changes. In: Proceedings of the 22nd international modal analysis conference (IMAC), Detroit, pp 119–126

    Google Scholar 

  7. Fernández P, Reynolds P, López-Aenlle M (2010) Scaling mode shapes in output-only systems by a consecutive mass change method. Exp Mech 51:995–1005

    Article  Google Scholar 

  8. Parloo E, Cauberghe B, Benedettini F, Alaggio R, Guillaume P (2005) Sensitivity-based operational mode shape normalization: application to a bridge. Mech Syst Signal Process 19:43–55

    Article  Google Scholar 

  9. Parloo E, Guillaume P, Anthonis J, Heylen W, Swevers N (2003) Modelling of sprayer boom dynamics by means of maximum likelihood identification techniques, part 1: a comparison of input–output and output-only modal testing. Biosyst Eng 85:163–171

    Article  Google Scholar 

  10. Friswell MI, Mottershead JE (1999) Finite element model updating in structural dynamics. Kluwer Academic, London

    Google Scholar 

  11. Allen MS, Sracic MW (2008) Mass normalized mode shapes using impact excitation and continuous-scan laser Doppler vibrometry. In: International conference on vibration measurements by laser techniques: advances and applications, vol 7098, pp 709804–709815

    Google Scholar 

  12. Aenlle ML, Brincker R (2013) Modal scaling in operational modal analysis using a finite element model. Int J Mech Sci 76:86–101

    Article  Google Scholar 

  13. Sestieri A (2000) Structural dynamic modification. Acad Proc Eng Sci (Sadhana) 3:247–259

    Google Scholar 

  14. Brincker R, Skafte A (2011) Estimation of unmeasured DOF’s using the local correspondence principle. In: IMAC XXIXI, vol 26, Jacksonville, pp 109–118

    Google Scholar 

  15. López-Aenlle M, Fernández P, Brincker R, Fernández-Canteli A (2010) Scaling factor estimation using an optimized mass change strategy. Mech Syst Signal Process 24:3061–3074

    Article  Google Scholar 

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Acknowledgments

The economic support given by the Spanish Ministry of Science and Innovation through the project BIA 2011-28380- C02-01 is gratefully appreciated.

The research reported in this paper was carried out during a stay at the Department of Engineering of the Aarhus University, Denmark, the support provided during this stay is gratefully acknowledged.

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Correspondence to M. L. Aenlle .

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Aenlle, M.L., Brincker, R. (2014). Modal Scaling in OMA Using the Mass matrix of a Finite Element Model. In: Catbas, F. (eds) Dynamics of Civil Structures, Volume 4. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-04546-7_30

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  • DOI: https://doi.org/10.1007/978-3-319-04546-7_30

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-04545-0

  • Online ISBN: 978-3-319-04546-7

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