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Estimation of Unmeasured DOF’s Using the Local Correspondence Principle

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Abstract

This paper will present a new method to estimate unmeasured Degrees of Freedom (DOF’s) in a structure using only a limited amount of sensors. The method applies the Locale Correspondence Principle (LCP) to estimate a linear transformation between experimentally determined mode shapes, and mode shapes from a Finite Element (FE) Model. Mode shapes from the FE model are then altered to fit the real mode shapes of the structure, creating a set of estimated mode shapes covering all nodes.

The method is easy to perform and has a wide variety of application within civil- and mechanical engineering.

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References

  1. Brincker R (2000) Modal identification from ambient responses using frequency domain decomposition. In: Proceedings of the IMAC XVIII, A conference on structural dynamics, San Antonio

    Google Scholar 

  2. Døssing O (1997) Structural stroboscopy – measurements of operational deflection shape. Sound Vib Mag

    Google Scholar 

  3. Allemang RJ, Brown D (1982) A correlation coefficient for modal vector analysis. In: Proceedings of the IMAC I, SEM, pp 110–116

    Google Scholar 

  4. Brincker R A local correspondence principle for mode shapes in structural dynamics (not yet published)

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  5. Nelson RB (1976) Simplified calculations of eigenvector derivatives. AIAA J 14(9):1201–1205

    Article  MathSciNet  MATH  Google Scholar 

  6. Heylen W, Lammens S, Sas P (1997) Modal analysis theory and testing, Faculty of Engineering, Department of Mechanical Engineering, Katholieke Universiteit Leuven, Belgium

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Correspondence to Anders Skafte .

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© 2012 The Society for Experimental Mechanics, Inc. 2012

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Skafte, A., Brincker, R. (2012). Estimation of Unmeasured DOF’s Using the Local Correspondence Principle. In: Caicedo, J., Catbas, F., Cunha, A., Racic, V., Reynolds, P., Salyards, K. (eds) Topics on the Dynamics of Civil Structures, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-2413-0_26

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  • DOI: https://doi.org/10.1007/978-1-4614-2413-0_26

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-2412-3

  • Online ISBN: 978-1-4614-2413-0

  • eBook Packages: EngineeringEngineering (R0)

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