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Shape-Descriptor Frequency Response Functions and Modal Analysis

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Special Topics in Structural Dynamics, Volume 6

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Abstract

Modal identification is carried out in the shape-feature domain using full-field data from a DIC system. The methodology is illustrated using a car bonnet of 3D irregular shape typical of many engineering structures. The full-field measured data are highly redundant, but the application of image processing using functional transformation enables the extraction of a small number of shape features without any significant loss of information from the raw DIC data. Surface parameterization is applied to ‘flatten’ the 3D surface to form a 2D planar domain. An adaptive geometric moment descriptor (AGMD), defined on surface parametric space, is used to extract shape features from a series of full-field transient responses under pseudo-random excitation. Approximately 14 thousand data points of raw DIC measurement are represented by 20 shape features terms at each time step. Shape-descriptor frequency response functions (SD-FRFs) of the response field and the loading field are derived. The usual modal identification procedure is applied to determine the natural frequencies, damping factors and Eigen-shape-feature vectors from the SD-FRF. Natural frequencies and mode shapes from a finite element (FE) model are correlated with the experimental data using the cosine distance between the shape feature vectors with 20 terms.

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References

  1. Kammer D (2005) Sensor set expansion for modal vibration testing. Mech Syst Signal Process 19(4):700–713

    Article  Google Scholar 

  2. Schedlinski C, Link M (1996) An approach to optimal pick-up and exciter placement. In: Proceedings of the 14th international modal analysis conference, Dearborn, pp 376–382

    Google Scholar 

  3. Bonisoli E, Delprete C, Rosso C (2009) Proposal of a modal-geometrical-based master nodes selection criterion in modal analysis. Mech Syst Signal Process 23(3): 606–620

    Article  Google Scholar 

  4. Stanbridge AB, Martarelli M, Ewins DJ (2004) Measuring area vibration mode shapes with a continuous-scan LDV. Measurement 35(2): 181–189

    Article  Google Scholar 

  5. Huntley JM (1998) Automated fringe pattern analysis in experimental mechanics: a review. J Strain Anal Eng Des 33(2): 105–125

    Article  Google Scholar 

  6. Powell RL, Stetson KA (1965) Interferometric vibration analysis by wavefront reconstruction. J Opt Soc Am 55(12): 1593

    Article  Google Scholar 

  7. Sutton MA, Orteu J-J, Schreier H (2009) Image correlation for shape, motion and deformation measurements. Springer, New York.

    Google Scholar 

  8. Schmidt T, Tyson J, Galanulis K (2003) Full-field dynamic displacement and strain measurement using advanced 3D image correlation photogrammetry: Part I. Exp Tech 27(3): 47–50

    Article  Google Scholar 

  9. Mottershead JE, Wang W (2013) Principles of image processing and feature recognition applied to full-field measurements. In: IMAC XXXI, Garden Grove

    Google Scholar 

  10. Wang W, Mottershead JE (2012) Adaptive moment descriptors for full-field strain and displacement measurements. J Strain Anal Eng Des

    Google Scholar 

  11. Wang W, Mottershead JE, Sebastian CM, Patterson EA, (2011) Shape features and finite element model updating from full-field strain data. Int J Solid Struct 48(11–12): 1644–1657

    Article  MATH  Google Scholar 

  12. Wang W, Mottershead JE, Siebert T, Pipino A (2012) Frequency response functions of shape features from full-field vibration measurements using digital image correlation. Mech Syst Signal Process 28: 333–347

    Article  Google Scholar 

  13. Hu M-K (1962) Visual pattern recognition by moment invariants. IEEE Trans Info Theory 8(2): 179–187

    Article  MATH  Google Scholar 

  14. Desbrun M, Meyer M, Alliez P (2002) Intrinsic parameterizations of surface meshes. Comput Graph Forum, Wiley Online Library 21: 209–218

    Article  Google Scholar 

  15. Welch P (1967) The use of fast Fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms. IEEE Trans Audio Electroacoustics 15(2): 70–73

    Article  MathSciNet  Google Scholar 

  16. Ewins DJ (2000) Modal testing: theory, practice, and application. Research Studies Press, Philadelphia

    Google Scholar 

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Acknowledgements

The authors wish to acknowledge the support of EU FP7 through project ADVISE (Advanced Dynamic Validations using Integrated Simulation and Experimentation); grant no. 218595

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Authors and Affiliations

  1. Centre for Engineering Dynamics, University of Liverpool, Liverpool, L69 3GH, UK

    John E. Mottershead

  2. School of Engineering, Manchester Metropolitan University, Manchester, M1 5GD, UK

    Weizhuo Wang

  3. Dantec Dynamics GmbH, Kaessbohrer Str. 18, Ulm, D 89077, Germany

    Thorsten Siebert

  4. Centro Ricerche Fiat, Torino, Italy

    Andrea Pipino

Authors
  1. John E. Mottershead
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  2. Weizhuo Wang
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  3. Thorsten Siebert
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  4. Andrea Pipino
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Corresponding author

Correspondence to John E. Mottershead .

Editor information

Editors and Affiliations

  1. University of Cincinnati, Cincinnati, 45221-0018, Ohio, USA

    Randall Allemang

  2. , The Enterprise Program, Michigan Technological University, Townsend Drive 1400, Houghton, 49931, Mississippi, USA

    James De Clerck

  3. , Dept. of Mechanical Engineering, University of Massachusetts Lowell, Riverside St. 197, Lowell, 01854, Massachusetts, USA

    Christopher Niezrecki

  4. & State University, Department of Mechanical Engineering, Virginia Polytechnic Institute, Randolph Hall 114 T, Blacksburg, 24060, Virginia, USA

    Alfred Wicks

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© 2013 The Society for Experimental Mechanics, Inc.

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Mottershead, J.E., Wang, W., Siebert, T., Pipino, A. (2013). Shape-Descriptor Frequency Response Functions and Modal Analysis. In: Allemang, R., De Clerck, J., Niezrecki, C., Wicks, A. (eds) Special Topics in Structural Dynamics, Volume 6. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6546-1_47

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  • DOI: https://doi.org/10.1007/978-1-4614-6546-1_47

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-6545-4

  • Online ISBN: 978-1-4614-6546-1

  • eBook Packages: EngineeringEngineering (R0)

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